As an aerospace engineer, i have all those books too. I keep them on the shelf as a grim reminder of all the starry eyed dreamer friends i lost along the way.
But they're an inspiration to the next generation, like my daughter, who wants to go into the AE field, like you have. My son is heading more towards a CJ/JD route, but then he's only four, so he might change his mind. ;-)
Maybe I will change my major after watching this video. I am currently a Math Major as a non-traditional older student. I am also a disabled veteran. So far I am doing pretty good in college. My GPA is just over 3.9, but I am just a part-time student. Older non-traditional student. Believe it or not I am 68-years-old. I'll be 69 in August. As a disabled veteran, I have had to deal with traumatic brain injuries (TBI). It does cause short term memory problems at times. As long as my grades stay above 3.0, I will continue on as a Math Major.
Sometimes I beat myself up about not being a perfect student, especially with coronavirus and online learning now, thinking I'm gonna have to settle for a fast food career, so it's really reassuring to hear you in one scene talk about having to drop a course cause it's too hard, and in the next scene talk about teaching math in college.
As a highschooler this was very helpful and insightful. Currently I'm at the end of sophomore year but I've already completed my school's AP AB calc course at the top of the relatively small class (I would have gone for BC if they had it). Next year I'll be taking AP stats at the highschool and they won't have anything left for me come senior year. As a student math is the subject I would never want to stagnate in even for a month or two. I'm having to take part time college classes to avoid it by next year. This definitely helps out for deciding which direction and order I should move in math. My academic/intellectual life goal is to learn, understand, and fully or nearly fully comprehend all branches of mathematics I could have access to.
To see books in video above, just click on time in blue highlight. Please correct me if I made any error below. 0:29 Calculus by James Stewart 1:23 Physics for Scientists and Engineers by Serway Jewett 2:13 Modern Physics by Paul A Tiplex and Ralph A Llewllyn 2:35 Logic and Proof by Norman, Sherwood and Bar 3:00 A Introduction to Abstract Mathematics by Robert J Bond and William J. keane 3:26 Mathematical Statistics with Applications by Dennis D Wackerly, William Mendenhall III, Richard L. Scheaffer 4:50 Fundamentals of Differential Equations and Boundary Value Problems by Nagle, Saff and Snider 5:32 Discrete Combinatorial Mathematics by Ralph P. Grimaldi and Frank L. Salemann 6:25 Elementary Linear Algebra and Matrices by Richard M. Caron and Frank L. Salemann 7:22 Linear Algebra by Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Sphence 8:26 Partial Differential Equations, An Introduction by Walter A. Strauss 8:55 Fundamentals of Complex Analysis by E. B. Saff and A. D. Snider 10:20 Abstract Algebra, A First Course by Dan Saracino 10:58 Advanced Calculus, A Couse in Mathematical Analysis by Patrick M Fitzpatrick 11:59 Elements of Point Set Topology by John D. Baum.
I absolutely loved Friedberg’s Linear Algebra, I used it for self study for a first course in Linear Algebra and I remember having so much fun with it. I found it incredibly intuitive and challenging, the proofs become progressively more complex so I never really struggled with any. Furthermore, together with Herstein’s Abstract Algebra these were by far the books that prepared the most for, and made me good at, proof writing which later made my study of Analysis very enjoyable and easy going. An excellent recommendation for anyone wanting to learn what Linear Algebra is really about.
I was thinking about learning linear algebra as my preparation for a uni before i finish highschool. Thx for recommendation, I was struggling to find a good literature on internet.
You know you're a math person when you have multiple books on a subject, e.g. more than one calc book, more than one LA book, more than one DiffEQ book. Much of my personal library is math, languages, physics, chems, bio, biochem, crafting, music, cooking, and baking. And it's dwarfed by my sister's larger-than-some-public-libraries collections on a broader range of scholastic and non-scholastic topics. Slide rules. Abacuses. Cards. Dice. You name it. All a tiny fraction of my world, but one in which I choose to show my children. And my daughter LOVES math! It's her favorite subject, and she's in second grade!
I received my B.A. and M.S. in math over 50 years ago. After working in private industry for a few decades I taught math at the community college level from 2000 to 2020. Now that I'm retired I can speak freely. I've observed that the publishing of elementary math textbooks (elementary meaning everything up to and including calculus) is a shameless racket. Every year they come out with new editions that are sold at outrageous prices and are not improvements of previous editions and of course students are always expected to buy the newest edition. In 1968 I bought the 4th edition of Thomas' Calculus for $19.95 and used it for three semesters. It covers more material than current editions that cost over $200 and best of all it has the answers to all the problems, not just the odd-numbered ones, so it is ideal for self study. My advice to anybody interested in learning math is to hunt thru used book stores for texts that are at least 30 years old.
I'm impressed you took a physics specialized book as a math major but also surprised no real/numerical analysis, number theory, differential geometry or any kind of geometry classes?
Edit: just finished watching the video and at least Real Analysis was covered in the "Advanced Calculus" course (the one in which Fitzpatrick book was used, shown in vey end). Still intrigued about Numerical Analysis and Number Theory though Well observed! I've always thought Real Analysis was an essential course for a mathematician, but it seems not be the case. I imagine, in their curriculum, the topics usually covered in Real Analysis must have been covered in the Complex Analysis and Topology courses, with nothing really being left out, while the proof skills must have been included in the second Linear Algebra course
I know this is old but I find it odd too- I teach HS maths and they recently took geometry out of our highest level maths course... not sure why. Maybe some international conspiracy against geometry haha. Just thought it was an interesting coincidence.
I just took numerical analysis 1 in this semester and real analysis in the last. I think I took differential geometry in my sophomore year. I think I'm about to take numerical analysis 2 and number theory in my next semester. Also, I think probability is something that is a must for Math majors as well, which he sorta left out in this video.
I’m a meteorology major and so many people don’t realize how much of a math and physics intense field atmospheric science is. You essentially are applying the laws of physics and math to the atmosphere. Very interesting!
The engineers had a leg up on you in the complex numbers class. EEs use complex numbers/analysis by the end of their sophomore year in circuit analysis. The material on the first test was probably a review of work they had already done in their engineering courses.
@@TheMathSorcerer Complex numbers are why EE majors like DC more than AC. It's also why one of my profs a decade ago had to recommend a specific calculator model. Turns out the list of calculators that can solve a system of linear equations containing complex numbers while not having programmability or onboard storage is quite short.
@@TheMathSorcerer Actually, euclid's books are the second most studied books in the world. The most studied being the bible. thought that might be interesting.
Decisions, decisions: Yes, doing nothing is an option, but there are other elder care options for calculus texts: 1) have the book rebound by a local or regional printing firm, 2) remove the cover boards, punch binder holes in the pages, and store them in a three (ore more) ring binder, perhaps with a zip-to-close cover, 3) divide the book into per-chapter segments, and store them in manila folders together with worked solutions in adjacent manila folders in hanging folders in a filing cabinet, 4) recognize the image of Darth Vader's helmet in the cover, then erect a cremation pyre, and hold a math friends funeral party to dance around the burning pyre while chanting and singing. (Watching Star Wars 4-5-6 in advance is recommended.) Alternatively, one could donate the item to a local book pound, and adopt a newer, younger book with similar material as a companion for a longer life.
I love these videos where you go through a stack or shelf of mathematics books. So many I haven't known about and it is great to get introduced to them.
It would be great to see a perfectionalized version, that is, a set of best books (according to you) for a close to perfect curriculum. How would you put together a full math major reading list?
Thanks!!! This helps me a lot, I can’t afford(time) to start an undergraduate degree in mathematics but I’m definitely willing to learn by myself. This will be a great guide. Cheers!
William Keane, who wrote Intro to Abstract Mathematics, was my professor for that class at Boston College. I was lucky enough to take the last class he taught 2 years ago before he retired. Funny thing is, he didn't require his students to get his textbook, and he actually said it would be somewhat of a waste of money because he wrote class notes. He even told me that if I really wanted to get it, I could probably find it floating around online somewhere for free!
I love this pile of math books. Mine was very similar. The day I walked into my schools graduate math library and saw rows and rows and rows of math books did I realize my math degree education was nothing but a whiff of the subject. I was sampling a drop from a vast ocean created before my time. Humbling!
I used Linear Algebra Done Right (Axler), Advanced Linear Algebra (Roman) and if you want to do proofs the easy way then use Serge Langs Linear Algebra and have fun with determinants. sheldon axler provides his book free online.
I took topology before doing multivariable calculus, and I think it was absolutely the right move. Topology might have been a bit easier to do after or at the same time as, but multivariable calculus is so hard on its own that any advantage is well worth it.
Is multivariable calculus really that hard? I honestly don't remember; but my course was a loooooong time ago. I don't remember it being especially hard; it just seemed like an obvious extension of single-variable calculus. But that could just be faulty memory.
"This is the class that makes math majors reconsider their major" this hit home. I honestly only passed because of a curve. I remember going into to the final and answered 0.75/10 questions. First question was a "recite the definition of a partition" and I basically just froze there and wasted about an hour staring at my page. Had another question where I probably just wrote down "By the Bolzano-Weirestrass theorem, this is true"
I lived off campus in a house that was closer than the dorms to the math building. The landlord was Dr. Edward Pease and he wrote the Calculus text I used for Cal I,II and III. First semester freshman year it was a new book just written and published. I supplemented it with Schaum's Outlines. Plenty of questions in it. Back in '67 no digital devices. I lived every minute of math in HS, college and grad school.
Yeah hopefully I get to take it! Also, hopefully this doesn’t sound weird but do you know how writing is generally used in math related fields? It’s for an English project and I am considering becoming a Mathematician for NASA.
awesome! i'm in 7th grade and i'd love to take physics and chemistry, these book's is indeed interesting to read! (i'm doing an advance learning btw :))
If you get through Calc 3, Physics becomes a trivial class. You'll love it even more, and that'll lead you to Chem, Orgo, and eventually PChem and BioChem (w/Bio on the way).
Take this book if you like advance stuff, quantum field theory and advance topics of condense matter, have fun, I had this courses this semester and this is some cool stuff to learn, I'm a physics major specialized in superconductors
I study math in the Czech republic, so I thought I’d just explain how our curriculum works, for comparison. The standard bachelor’s program is called general mathematics, but technically only the first two years are general, in the third year students choose courses based on what master’s program they want to pursue. We rarely use textbooks, most of the material is provided by the lecturer. First year: Discrete mathematics, Linear algebra 1 and 2, Real analysis 1 and 2, Programming 1 and 2, and one more course out of a number of options (I chose a physics course). Second year: Algebra 1 and 2, Real analysis 3 and 4, Measure theory, Numerical mathematics, Geometry, Introduction to probability and mathematical statistics. Third year: Complex analysis (only course mandatory for everyone) I wanted to do master’s in probability or statistics, so my third year also included the following: Probability theory 1, Mathematical statistics 1 and 2, Stochastic processes 1, Mathematics in finance, Introduction to optimization, Functional analysis, Analysis of matrix calculations We also have a mandatory swimming exam, mandatory English exam and four semesters of mandatory sports classes.
@@raymondxiao2716 Indeed. We have to slowly and rigorously define and prove calculus before we actually get to use it. It's considered the hardest class in the first two semesters.
I’m in the last year of my math degree and I’ve taken most of these classes, but because of my actuarial science minor I’ve taken a math course on interest theory, one on financial derivatives, and one on actuarial models instead of topology, complex analysis, and discrete math. But yea I completely agree with you on how difficult the mathematical statistics and real analysis sequences are, by far the hardest classes I’ve taken
I've used the same book for a complex analysis course, the last math course I've taken and the only one I've gotten a D in. The course was not required for math majors. I'd also taken: - multivariable calculus (required for both math B.S. and B.A., A, textbook: Calculus, Multivariable: Early Transcendental Functions by Smith & Minton) - intro to differential equations (required for both math B.S. and B.A., A, textbook: An Introduction to Differential Equations and Their Applications by Farlow) - intro to linear algebra (required for both math B.S. and B.A., A, textbook: Linear Algebra and Its Applications by Lay) - discrete structures (not required but recommended as a prerequisite to analysis i, A, textbook: forgot) - intro to mathematical analysis i (required for both math B.S. and B.A., C, textbook: Introduction to Real Analysis by Bartle & Sherbert) - intro to partial differential equations (not required, B, textbook: Solution Techniques for Elementary Partial Differential Equations by Constanda) - intro to mathematical analysis ii (required for math B.S., B, textbook: Elementary Classical Analysis by Marsden & Hoffman) - intro to modern algebra & number theory (not required, C, textbook: Abstract Algebra by Beachy & Blair) - intro to probability theory (not required, B, textbook: Introduction to Mathematical Statistics by Hogg, Craig, & McKean) - geometry (not required, C, textbook: forgot) - intro to mathematical statistics (not required, A, textbook: same as the one for probability) - linear algebra (not required, B, textbook: Linear Algebra Done Right by Axler) I've also taken many physics courses because until my last year of university I was a math & physics double major: - intro physics i (required for math B.S. and for both physics major and minor, C, textbook: forgot) - honors intro physics ii (required for math B.S. and for both physics major and minor, A, textbook: forgot) - intro physics laboratory (required for physics major, B) - intro physics iii (required for both physics major and minor, C, textbook: Vibrations and Waves by French) - intro to computational physics (required for physics major, B) - modern physics (required for physics major, B, textbook: forgot) - thermal & statistical physics (required for physics major, B, textbook: An Introduction to Thermal Physics by Schroeder) - electromagnetic theory (required for physics major, A, textbook: Introduction to Electrodynamics by Griffiths) - electronics for scientists (required for physics major, C, textbook: forgot) - intermediate mechanics (required for physics major, C, textbook: Classical Mechanics by Taylor) - optics laboratory (required for physics major, C) - relativistic physics (not required, C, textbook: Gravity: An Introduction to Einstein's General Relativity by Hartle)
I feel cheated, all those books are less than what I had to read in a single course in my major. We were asked to read 1000 pages every single week per course, so at the end of the semester, we had to give an exam on around 60,000 pages. The hardest exam I took was a final oral exam that took about 6 hours, the required reading list for that course was about 8 pages long, so it took me an entire summer reading 18 hours every single day to sit for that exam, I put every book on top of each other as I finished reading them and at the end that pile was bigger than me (from the floor almost to the ceiling of my room). I did get an A+ on that exam, but they asked about every single book on that list and, when the list was over, they continued with books that weren't on the list (which I was lucky to have read as well since I do a lot of research beyond what is expected on any course).
GOD real analysis. I aced it but only because my prof was absurdly generous with grading. I took it literally two semesters ago, much of the class failed because they copy-pasted answers on the take home final off of Chegg and their copy-pasted answers were incorrect.
@@zapazap I think it is very class dependent. I really liked my proofs class for the same reason you describe, but my real analysis felt like a lot of memorization (it is entirely possible I am biased here, though - I really prefer studying discrete math and it has been my focus whenever I have been able to choose a focus).
That you so much for this. This is exactly what I need. Out of college for a few years and I have some free time so I'm going to self study the math right. Once Im done I'm planning to dive into string theory. My biggest regret of collage was real analysis always conflicted with some core physics class so I couldn't double. I always knew I really needed to for theory.
Seeing that Mathematical Statistics Book gave me cold shivers. I'm taking a course in Mathematical Statistics and Data Analysis this year, and it makes me want to cry.
Hi Math Sorcerer, I’ve been following/ watching your videos. I realized solid geometry/ mensuration topics books was never discussed. It may be good subject to discuss geometry books nowadays does not go in depth in this subject. Solid Mensuration by Kells, Kern and Bland is a well known obsolete book might be a good addition to your collection to discuss.
Great vid! I used Purcell's for Calculus and it's a pretty decent book for me. Btw in my uni, i need to take geometry classes (Analytical Geometry, Transformational Geometry) and i struggle the most at it
10:20 same here. Abstract algebra was thé best class I've taken. At first, i thought thé best class I'd taken was calculus (probably because i loved Prof Herbert Gross's lecture séries available here on youtube) Then I thought, "no, linear algebra is thé best!" Again, probably because of some online lectures I found on LA by Prof. Gilbert Strang. Now, i think abstract algebra is the best.
I am at UMD where Fitzpatrick teaches (I opted for a different professor for scheduling reasons.). Naturally, we use his book for real analysis. It's a great resource---packed to the gills with material---but definitely not the "gentlest" of introductions to the topic. Let's just say the on-ramp is short and he jumps into the calculus quicker than some other texts. For a more thorough treatment of the fundamentals and other prerequisite knowledge, I like Tao's Analysis I & II or Abbott's Understanding Analysis.
Interesting to see Calculus by Stewart on there. We went straight into Calculus by Spivak. Haven’t seen Friedberg et al Linear Algebra in years though! Also our first Linear Algebra class! lol Loved that book!
Yeah, that's about right, but throw in Real Analysis, Complex Analysis, Numerical Analysis (non-CompSci), and your choice of Number Theory, Advanced Probability & Statistics, and maybe Group Theory. I had Combinatorics and Graph Theory as separate courses, but loved both of them. Small, dense textbooks, however.
It amazes me how much math there is. It is immense! Probably just as much depth and complexity as say physics and chemistry. You have covered some very esoteric topics in the past. Combinatorics, topology, and other stuff like that. What are your thoughts on differential geometry and tensor calculus?
@@TheMathSorcerer That would be pretty cool if you did. Do you know the applications of combinatorics? It just seemed to me like one of those esoteric topics like onomatology(the study of names.) edit: If this is not too personal, what exactly do you do for a living?
Its very likely to be deeper than the depths of physics and chemistry. Physics etc. Have a hard time with infinities. As for Math, well you see ..... ♾
@@starshipx1282 Well Putin my fellow comrade, Math definitely is very dense and deep. Like philosophy. Which makes sense. Math is a branch of philosophy called epistemology, which is the branch of philosophy dealing with how we acquire knowledge.
I studied topology before I took my first real analysis course. The grader of that course hated me! (I would do my assignments in terms of 'open covering's and the like.)
@@TheMathSorcerer : He eventually stopped grading my assignments. I did them anyway and just kept them. Showed them to my prof at the end of term. He just glanced through them and counted them all good. :) He was an excellent prof -- one of my favourites. He was (East) Indian and listened to Indian classical music. Playing some for me he said 'What she is doing is creating a continuous function with her voice'.
O my! It took me way more math classes and thus going over more math books than what you have to get my BS in pure math. Those are just half of the math books I have. 🤯
Hey man I love your videos, would you consider make a video similar to this one, taking a bunch of popular majors like physics, economics, engineering, etc and listing the math classes that those majors take, please? Kind of the other side of the coin.
As someone who also has a bachelors in mathematics, I actually had a 99% completely different set of textbooks lol. The ones I had were: - Single Variable Calculus: Early Transcendentals by Stewart - Vector Calculus by Colley - Linear Algebra and its Applications by McDonald - Linear Algebra Done Right by Axler - Discrete Mathematics and its Applications by Rosen - Elementary Differential Equations and Boundary Value Problems by Boyce - An Introduction to Partial Differential Equations by Pinchover - Principals of Mathematical Analysis by Rudin - Complex Variables and Applications by Brown - Fourier Analysis by Stien - Numerical Mathematics and Computing by Cheney - Mathematical Models by Haberman - Naive Set Theory by Halmos
i kept my astrophysics books 25 yrs before i was able to accept i am no longer interested in working at NASA - and gave them away to a used book store.... interesting story: we were required to take a third year math course - but, it was a prerequisite that you had to have 1st year computer science, and astro degrees don't require that so we got exempt...pissed off the math majors...
Can't find Elementary Linear Algebra and Matrices by Caron anywhere. Not only can't find the book on any store, but I can't even find a mention of it anywhere online (though it may just be drowned out because there are so many linear algebra books). Bit of a disappointment after it was given such a glowing recommendation.
At National Taiwan University, in the Calc I for the math majors, the math department uses Taiji Takagi's A Course on Analysis as the textbook, with Courant and John's Introduction to Calculus and Analysis I and II, and Protter and Morrey's A First Course in Real Analysis for references. By the end of the first week, the professor introduced the Fundamental Theorem of Calculus and derived the anti-derivatives of polynomials. Couple weeks later he introduced the metric space and the Heine-Borel Theorem. Already you can tell that they're taking a holistic approach to mathematics. BTW, for a pure math degree, a curriculum with no mathematical logic is questionable, with no set theory is unbelievable.
generally not a good idea to compare math majors in Asia to those in the US lol. You could become a math major in the US without taking super rigorous courses imo.
Great video! I think have never understood Jordan composition, so it's sad that the Caron & Salzmann textbook is out of print. Would you recommend another one please?
Hated physics with all my soul. I failed physics 2 during my second semester, had to retake it during summer and thank god I got the minimum passing grade.
I wasn't required to take statistics, which looking back was unfortunate. I also took topology early, I think I got a C, but it did help prepare me for the class on Real Analysis.
I think there were a lot of books missing. A lot of geometry was missing. Analytic geometry in 2D and 3D. Euclidean / synthethic geometry. Projective geometry, neutral geometry, non-euclidean geometry. Differential geometry. Also some metric-space topology, axiomatic set theory, logic and categories was missing.
I don’t see any geometry besides topology, not even differential geometry! Do you think that geometry is neglected for a lot of math programs? I believe my program only has pure math majors take differential geometry.
There's a choice here in subsidiaries, like five of them. Physics and statistics are most recommended but there's chemistry, economics, geology and geography. I took geography and physics. For physics I had physics by Halliday, both volumes.
So, what science classes do you take so you have a Bachelors of Science? Most of the folks doing the math degree with a secondary education minor took physics as their science, because most of physics, is just calculus.
Would be cool to see a Discrete Maths showdown and your opinions on Rosen vs Grimaldi vs Epp. This is somewhat of a debate in CS on which textbook is the better one for discrete maths
As an aerospace engineer, i have all those books too. I keep them on the shelf as a grim reminder of all the starry eyed dreamer friends i lost along the way.
But they're an inspiration to the next generation, like my daughter, who wants to go into the AE field, like you have. My son is heading more towards a CJ/JD route, but then he's only four, so he might change his mind. ;-)
Wow awesome
@Sonic Hedgehog : Son likes Criminal Justice / Juris Doctor. My daughter loves aerospace.
Mechanical Engineer here. I also still have many of the same book. Fond memories
‘Calculus - Early Transcendentals’, James Stewart, 8e... such a nice book.
In my country.
We take Thomas Calculus
For calculus
What country? I have an older copy of thomas calculus
@@TheMathSorcerer Pakistan
Im using 10th edition now during my Calculus 1 course
@@sithlordbinks same with me, 1st sem calculus 1 and second calculus 2
Maybe I will change my major after watching this video. I am currently a Math Major as a non-traditional older student. I am also a disabled veteran. So far I am doing pretty good in college. My GPA is just over 3.9, but I am just a part-time student.
Older non-traditional student. Believe it or not I am 68-years-old. I'll be 69 in August. As a disabled veteran, I have had to deal with traumatic brain injuries (TBI). It does cause short term memory problems at times.
As long as my grades stay above 3.0, I will continue on as a Math Major.
Wow! I admire your passion to study!
Sometimes I beat myself up about not being a perfect student, especially with coronavirus and online learning now, thinking I'm gonna have to settle for a fast food career, so it's really reassuring to hear you in one scene talk about having to drop a course cause it's too hard, and in the next scene talk about teaching math in college.
Ya it's a struggle for everyone
Don't give up and keep an open mind.
For me it's less about the fear of online learning and more about the lack of internships right now during coronavirus :/
I love how serway and Jewett write their books. It’s physics almost in story form
👍
As a highschooler this was very helpful and insightful. Currently I'm at the end of sophomore year but I've already completed my school's AP AB calc course at the top of the relatively small class (I would have gone for BC if they had it). Next year I'll be taking AP stats at the highschool and they won't have anything left for me come senior year. As a student math is the subject I would never want to stagnate in even for a month or two. I'm having to take part time college classes to avoid it by next year. This definitely helps out for deciding which direction and order I should move in math. My academic/intellectual life goal is to learn, understand, and fully or nearly fully comprehend all branches of mathematics I could have access to.
"C's get degrees."
What about the GPA ?
+
D stands for diploma!!
That’s my favorite saying for Integrals!
Then you get rejected outta grad school and go unemployed :(
To see books in video above, just click on time in blue highlight. Please correct me if I made any error below.
0:29 Calculus by James Stewart
1:23 Physics for Scientists and Engineers by Serway Jewett
2:13 Modern Physics by Paul A Tiplex and Ralph A Llewllyn
2:35 Logic and Proof by Norman, Sherwood and Bar
3:00 A Introduction to Abstract Mathematics by Robert J Bond and William J. keane
3:26 Mathematical Statistics with Applications by Dennis D Wackerly, William Mendenhall III, Richard L. Scheaffer
4:50 Fundamentals of Differential Equations and Boundary Value Problems by Nagle, Saff and Snider
5:32 Discrete Combinatorial Mathematics by Ralph P. Grimaldi and Frank L. Salemann
6:25 Elementary Linear Algebra and Matrices by Richard M. Caron and Frank L. Salemann
7:22 Linear Algebra by Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Sphence
8:26 Partial Differential Equations, An Introduction by Walter A. Strauss
8:55 Fundamentals of Complex Analysis by E. B. Saff and A. D. Snider
10:20 Abstract Algebra, A First Course by Dan Saracino
10:58 Advanced Calculus, A Couse in Mathematical Analysis by Patrick M Fitzpatrick
11:59 Elements of Point Set Topology by John D. Baum.
Thank you!
6:25 Salzmann not Salemann
I absolutely loved Friedberg’s Linear Algebra, I used it for self study for a first course in Linear Algebra and I remember having so much fun with it. I found it incredibly intuitive and challenging, the proofs become progressively more complex so I never really struggled with any. Furthermore, together with Herstein’s Abstract Algebra these were by far the books that prepared the most for, and made me good at, proof writing which later made my study of Analysis very enjoyable and easy going. An excellent recommendation for anyone wanting to learn what Linear Algebra is really about.
awesome!
I was thinking about learning linear algebra as my preparation for a uni before i finish highschool. Thx for recommendation, I was struggling to find a good literature on internet.
@@gamingisfun534563 years later, and I wonder how all that went
I feel like getting smarter just by watching this video
Haha awesome
You know you're a math person when you have multiple books on a subject, e.g. more than one calc book, more than one LA book, more than one DiffEQ book. Much of my personal library is math, languages, physics, chems, bio, biochem, crafting, music, cooking, and baking. And it's dwarfed by my sister's larger-than-some-public-libraries collections on a broader range of scholastic and non-scholastic topics.
Slide rules. Abacuses. Cards. Dice. You name it. All a tiny fraction of my world, but one in which I choose to show my children. And my daughter LOVES math! It's her favorite subject, and she's in second grade!
😀
"Principles of Mathematical Analysis - Walter Rudin" enteres chat.
First semester student: Confused screeching.
I received my B.A. and M.S. in math over 50 years ago. After working in private industry for a few decades I taught math at the community college level from 2000 to 2020. Now that I'm retired I can speak freely. I've observed that the publishing of elementary math textbooks (elementary meaning everything up to and including calculus) is a shameless racket. Every year they come out with new editions that are sold at outrageous prices and are not improvements of previous editions and of course students are always expected to buy the newest edition. In 1968 I bought the 4th edition of Thomas' Calculus for $19.95 and used it for three semesters. It covers more material than current editions that cost over $200 and best of all it has the answers to all the problems, not just the odd-numbered ones, so it is ideal for self study. My advice to anybody interested in learning math is to hunt thru used book stores for texts that are at least 30 years old.
I'm impressed you took a physics specialized book as a math major but also surprised no real/numerical analysis, number theory, differential geometry or any kind of geometry classes?
Edit: just finished watching the video and at least Real Analysis was covered in the "Advanced Calculus" course (the one in which Fitzpatrick book was used, shown in vey end). Still intrigued about Numerical Analysis and Number Theory though
Well observed! I've always thought Real Analysis was an essential course for a mathematician, but it seems not be the case. I imagine, in their curriculum, the topics usually covered in Real Analysis must have been covered in the Complex Analysis and Topology courses, with nothing really being left out, while the proof skills must have been included in the second Linear Algebra course
I know this is old but I find it odd too- I teach HS maths and they recently took geometry out of our highest level maths course... not sure why. Maybe some international conspiracy against geometry haha. Just thought it was an interesting coincidence.
I just took numerical analysis 1 in this semester and real analysis in the last. I think I took differential geometry in my sophomore year. I think I'm about to take numerical analysis 2 and number theory in my next semester. Also, I think probability is something that is a must for Math majors as well, which he sorta left out in this video.
Stewart is one of the best math authors. His textbook problems are really exotics. One year left to finish my math bachelor.
Very nice !! Yeah I am going to get some of his other books soon!!
And then there's me, who feels like a beast when I've solved for X
hahaha you are still a BEAST my friend!!! Crush it, solve for X!!!!!
You’re not alone! I feel like a super beast/alpha when I solve X without a calculator
@@TheMathSorcerer thank you 😂😂😂
For some problems that can actually be challenging.
I’m a meteorology major and so many people don’t realize how much of a math and physics intense field atmospheric science is. You essentially are applying the laws of physics and math to the atmosphere. Very interesting!
The engineers had a leg up on you in the complex numbers class. EEs use complex numbers/analysis by the end of their sophomore year in circuit analysis. The material on the first test was probably a review of work they had already done in their engineering courses.
Ahh that would make sense , it was so hard lol
@@TheMathSorcerer Complex numbers are why EE majors like DC more than AC. It's also why one of my profs a decade ago had to recommend a specific calculator model. Turns out the list of calculators that can solve a system of linear equations containing complex numbers while not having programmability or onboard storage is quite short.
“This is like the most popular book in the entire world”
*the bible enters chat*
haha, should have said, "the most popular Calculus book in the entire world" hehehehe
@@TheMathSorcerer Actually, euclid's books are the second most studied books in the world. The most studied being the bible. thought that might be interesting.
Decisions, decisions: Yes, doing nothing is an option, but there are other elder care options for calculus texts: 1) have the book rebound by a local or regional printing firm, 2) remove the cover boards, punch binder holes in the pages, and store them in a three (ore more) ring binder, perhaps with a zip-to-close cover, 3) divide the book into per-chapter segments, and store them in manila folders together with worked solutions in adjacent manila folders in hanging folders in a filing cabinet, 4) recognize the image of Darth Vader's helmet in the cover, then erect a cremation pyre, and hold a math friends funeral party to dance around the burning pyre while chanting and singing. (Watching Star Wars 4-5-6 in advance is recommended.)
Alternatively, one could donate the item to a local book pound, and adopt a newer, younger book with similar material as a companion for a longer life.
The elements entered the chat...
Oh wow
The Stewart book is especially good for math majors. It is decent enough to learning calculus but it’s specialty is a bock of review and reference.
Not a math major, but currently taking complex analysis and integral transformations plus P.D.E and fourier series. One of the best courses!
How can you enjoy PDE's ?
"this is what a math degree looks like" *sees cardboard box used as a bedside table* epic.
Hahahaha
I love these videos where you go through a stack or shelf of mathematics books. So many I haven't known about and it is great to get introduced to them.
It would be great to see a perfectionalized version, that is, a set of best books (according to you) for a close to perfect curriculum. How would you put together a full math major reading list?
Thanks!!! This helps me a lot, I can’t afford(time) to start an undergraduate degree in mathematics but I’m definitely willing to learn by myself.
This will be a great guide.
Cheers!
I was a math major from 1965-1969 and pretty well took all the same courses in Canada.
Wow
William Keane, who wrote Intro to Abstract Mathematics, was my professor for that class at Boston College. I was lucky enough to take the last class he taught 2 years ago before he retired. Funny thing is, he didn't require his students to get his textbook, and he actually said it would be somewhat of a waste of money because he wrote class notes. He even told me that if I really wanted to get it, I could probably find it floating around online somewhere for free!
I love this pile of math books. Mine was very similar. The day I walked into my schools graduate math library and saw rows and rows and rows of math books did I realize my math degree education was nothing but a whiff of the subject. I was sampling a drop from a vast ocean created before my time. Humbling!
I used Linear Algebra Done Right (Axler), Advanced Linear Algebra (Roman) and if you want to do proofs the easy way then use Serge Langs Linear Algebra and have fun with determinants.
sheldon axler provides his book free online.
I took topology before doing multivariable calculus, and I think it was absolutely the right move. Topology might have been a bit easier to do after or at the same time as, but multivariable calculus is so hard on its own that any advantage is well worth it.
Oh wow interesting!!
do you remember which book you used?
@@Stinkbug08 yes, we used Munkers topology
I found it the other way around, but as long as it worked for you, yay!!!
Is multivariable calculus really that hard? I honestly don't remember; but my course was a loooooong time ago. I don't remember it being especially hard; it just seemed like an obvious extension of single-variable calculus. But that could just be faulty memory.
"This is the class that makes math majors reconsider their major" this hit home. I honestly only passed because of a curve. I remember going into to the final and answered 0.75/10 questions. First question was a "recite the definition of a partition" and I basically just froze there and wasted about an hour staring at my page. Had another question where I probably just wrote down "By the Bolzano-Weirestrass theorem, this is true"
Ya it's such a rough class! Good you made it💪
That is some amazing curve
@@MusicalInquisit yes, now determine if its integrable on its domain.
Basically, you're a math major if you survive real analysis lol
I lived off campus in a house that was closer than the dorms to the math building. The landlord was Dr. Edward Pease and he wrote the Calculus text I used for Cal I,II and III. First semester freshman year it was a new book just written and published. I supplemented it with Schaum's Outlines. Plenty of questions in it. Back in '67 no digital devices. I lived every minute of math in HS, college and grad school.
I really can't wait to learn all of these bad boys!!! Wish me luck!!!
And bad girls?!?!?! 😝 😁
Haha
@@TheMathSorcerer lmao🤣🤣🤣
When you said calculus based statistics my mouth dropped to the floor that sounds like so much fun!!
haha awesome
Yeah hopefully I get to take it! Also, hopefully this doesn’t sound weird but do you know how writing is generally used in math related fields? It’s for an English project and I am considering becoming a Mathematician for NASA.
Writing is super important for all types of jobs. Any job where you have to communicate with people in any way being able to write is important!!
Ok thank you for responding! And would you say grammar is still important in math related jobs or no? (Last question I promise😅)
Yes thankfully we have spell checkers but yes it is important.
Just got a B+ in discrete, not happy about it, but hearing you say that you did the same is reassuring
awesome! i'm in 7th grade and i'd love to take physics and chemistry, these book's is indeed interesting to read! (i'm doing an advance learning btw :))
If you get through Calc 3, Physics becomes a trivial class. You'll love it even more, and that'll lead you to Chem, Orgo, and eventually PChem and BioChem (w/Bio on the way).
Take this book if you like advance stuff, quantum field theory and advance topics of condense matter, have fun, I had this courses this semester and this is some cool stuff to learn, I'm a physics major specialized in superconductors
Thanks for the video, rare to see sources similar to this one despite it being so important.
Yeah I think it's good for people to know this stuff:)
I study math in the Czech republic, so I thought I’d just explain how our curriculum works, for comparison. The standard bachelor’s program is called general mathematics, but technically only the first two years are general, in the third year students choose courses based on what master’s program they want to pursue. We rarely use textbooks, most of the material is provided by the lecturer.
First year:
Discrete mathematics, Linear algebra 1 and 2, Real analysis 1 and 2, Programming 1 and 2, and one more course out of a number of options (I chose a physics course).
Second year:
Algebra 1 and 2, Real analysis 3 and 4, Measure theory, Numerical mathematics, Geometry, Introduction to probability and mathematical statistics.
Third year:
Complex analysis (only course mandatory for everyone)
I wanted to do master’s in probability or statistics, so my third year also included the following:
Probability theory 1, Mathematical statistics 1 and 2, Stochastic processes 1, Mathematics in finance, Introduction to optimization, Functional analysis, Analysis of matrix calculations
We also have a mandatory swimming exam, mandatory English exam and four semesters of mandatory sports classes.
No calculus? Straight into real analysis?
@@raymondxiao2716 Indeed. We have to slowly and rigorously define and prove calculus before we actually get to use it. It's considered the hardest class in the first two semesters.
"This book is okay, it's better than ok, it's pretty good"
hahahaha
Mate, I love your videos. This channel is one of my favorite channels!
Serway was pretty good. I used Howard Anton for Calculus and it is my favorite book in the world!!
Nice I should check that one out!!
I’m in the last year of my math degree and I’ve taken most of these classes, but because of my actuarial science minor I’ve taken a math course on interest theory, one on financial derivatives, and one on actuarial models instead of topology, complex analysis, and discrete math. But yea I completely agree with you on how difficult the mathematical statistics and real analysis sequences are, by far the hardest classes I’ve taken
Ya they are tough, interesting to hear that you also thought the statistical theory was tough!!
I am self studying advance math Thank so much this was really helpful
I remember that calculas book back in hs.
cool
I've used the same book for a complex analysis course, the last math course I've taken and the only one I've gotten a D in. The course was not required for math majors. I'd also taken:
- multivariable calculus (required for both math B.S. and B.A., A, textbook: Calculus, Multivariable: Early Transcendental Functions by Smith & Minton)
- intro to differential equations (required for both math B.S. and B.A., A, textbook: An Introduction to Differential Equations and Their Applications by Farlow)
- intro to linear algebra (required for both math B.S. and B.A., A, textbook: Linear Algebra and Its Applications by Lay)
- discrete structures (not required but recommended as a prerequisite to analysis i, A, textbook: forgot)
- intro to mathematical analysis i (required for both math B.S. and B.A., C, textbook: Introduction to Real Analysis by Bartle & Sherbert)
- intro to partial differential equations (not required, B, textbook: Solution Techniques for Elementary Partial Differential Equations by Constanda)
- intro to mathematical analysis ii (required for math B.S., B, textbook: Elementary Classical Analysis by Marsden & Hoffman)
- intro to modern algebra & number theory (not required, C, textbook: Abstract Algebra by Beachy & Blair)
- intro to probability theory (not required, B, textbook: Introduction to Mathematical Statistics by Hogg, Craig, & McKean)
- geometry (not required, C, textbook: forgot)
- intro to mathematical statistics (not required, A, textbook: same as the one for probability)
- linear algebra (not required, B, textbook: Linear Algebra Done Right by Axler)
I've also taken many physics courses because until my last year of university I was a math & physics double major:
- intro physics i (required for math B.S. and for both physics major and minor, C, textbook: forgot)
- honors intro physics ii (required for math B.S. and for both physics major and minor, A, textbook: forgot)
- intro physics laboratory (required for physics major, B)
- intro physics iii (required for both physics major and minor, C, textbook: Vibrations and Waves by French)
- intro to computational physics (required for physics major, B)
- modern physics (required for physics major, B, textbook: forgot)
- thermal & statistical physics (required for physics major, B, textbook: An Introduction to Thermal Physics by Schroeder)
- electromagnetic theory (required for physics major, A, textbook: Introduction to Electrodynamics by Griffiths)
- electronics for scientists (required for physics major, C, textbook: forgot)
- intermediate mechanics (required for physics major, C, textbook: Classical Mechanics by Taylor)
- optics laboratory (required for physics major, C)
- relativistic physics (not required, C, textbook: Gravity: An Introduction to Einstein's General Relativity by Hartle)
I feel cheated, all those books are less than what I had to read in a single course in my major. We were asked to read 1000 pages every single week per course, so at the end of the semester, we had to give an exam on around 60,000 pages. The hardest exam I took was a final oral exam that took about 6 hours, the required reading list for that course was about 8 pages long, so it took me an entire summer reading 18 hours every single day to sit for that exam, I put every book on top of each other as I finished reading them and at the end that pile was bigger than me (from the floor almost to the ceiling of my room). I did get an A+ on that exam, but they asked about every single book on that list and, when the list was over, they continued with books that weren't on the list (which I was lucky to have read as well since I do a lot of research beyond what is expected on any course).
Wow
Holy
What major?
The difficulty of a set of material and the volume of material tend to be inversely proportional to each other.
You are my favorite math teacher.
👍
GOD real analysis. I aced it but only because my prof was absurdly generous with grading. I took it literally two semesters ago, much of the class failed because they copy-pasted answers on the take home final off of Chegg and their copy-pasted answers were incorrect.
Lol yeah the struggle!!
Real Analysis was a relief. Finally a course which depended on a little understanding rather than memorization of techniques.
@@zapazap I think it is very class dependent. I really liked my proofs class for the same reason you describe, but my real analysis felt like a lot of memorization (it is entirely possible I am biased here, though - I really prefer studying discrete math and it has been my focus whenever I have been able to choose a focus).
My high school uses the exact same book. Physics for Scientists and Engineers and Calculus Early transcendentals. Pretty cool
Thank you for putting the links to the books in the description! Appreciate it.
👍
Thank you Sir! English is not my mother tongue but I got you! Really appreciate all your effort! New subsciptor from South America!
That you so much for this. This is exactly what I need. Out of college for a few years and I have some free time so I'm going to self study the math right. Once Im done I'm planning to dive into string theory.
My biggest regret of collage was real analysis always conflicted with some core physics class so I couldn't double. I always knew I really needed to for theory.
Seeing that Mathematical Statistics Book gave me cold shivers. I'm taking a course in Mathematical Statistics and Data Analysis this year, and it makes me want to cry.
Please upload more math book collection I love it :)
ok:)
Excellent bibliography
Hi Math Sorcerer, I’ve been following/ watching your videos. I realized solid geometry/ mensuration topics books was never discussed. It may be good subject to discuss geometry books nowadays does not go in depth in this subject. Solid Mensuration by Kells, Kern and Bland is a well known obsolete book might be a good addition to your collection to discuss.
Great vid! I used Purcell's for Calculus and it's a pretty decent book for me.
Btw in my uni, i need to take geometry classes (Analytical Geometry, Transformational Geometry) and i struggle the most at it
10:20 same here. Abstract algebra was thé best class I've taken. At first, i thought thé best class I'd taken was calculus (probably because i loved Prof Herbert Gross's lecture séries available here on youtube) Then I thought, "no, linear algebra is thé best!" Again, probably because of some online lectures I found on LA by Prof. Gilbert Strang. Now, i think abstract algebra is the best.
👍👍👍
Really great video idea! Would you ever do one for grads students in mathematics?
Possibly! good idea!!!!!!!
No Geometry? I heard that traditionally everyone in college had to study Euclid's "Elements."
yeah maybe in the past, typically only math education majors do it now, many programs no longer require geometry
I am at UMD where Fitzpatrick teaches (I opted for a different professor for scheduling reasons.). Naturally, we use his book for real analysis. It's a great resource---packed to the gills with material---but definitely not the "gentlest" of introductions to the topic. Let's just say the on-ramp is short and he jumps into the calculus quicker than some other texts.
For a more thorough treatment of the fundamentals and other prerequisite knowledge, I like Tao's Analysis I & II or Abbott's Understanding Analysis.
I have the Linear Algebra 5th edition by the same author. I also have the Fundamentals of Complex Analysis book.
Nice !!
I went from James stewart calculus to top apostle mathematics analysis in my junior college
Nice
Interesting to see Calculus by Stewart on there. We went straight into Calculus by Spivak. Haven’t seen Friedberg et al Linear Algebra in years though! Also our first Linear Algebra class! lol Loved that book!
Yeah, that's about right, but throw in Real Analysis, Complex Analysis, Numerical Analysis (non-CompSci), and your choice of Number Theory, Advanced Probability & Statistics, and maybe Group Theory. I had Combinatorics and Graph Theory as separate courses, but loved both of them. Small, dense textbooks, however.
Great videos. Still waiting for Ahlfors vs Papa Rudin.
👍
You can tell it's a Dover book by the artwork on the cover and the title font. Classic.
It amazes me how much math there is. It is immense! Probably just as much depth and complexity as say physics and chemistry. You have covered some very esoteric topics in the past. Combinatorics, topology, and other stuff like that. What are your thoughts on differential geometry and tensor calculus?
I never studied those formally in a classroom but I've seen them!! I have a few books on each(not many):)
I have some really weird books, I should do reviews on those!! strange topics:)
@@TheMathSorcerer That would be pretty cool if you did. Do you know the applications of combinatorics? It just seemed to me like one of those esoteric topics like onomatology(the study of names.)
edit: If this is not too personal, what exactly do you do for a living?
Its very likely to be deeper than the depths of physics and chemistry. Physics etc. Have a hard time with infinities. As for Math, well you see ..... ♾
@@starshipx1282 Well Putin my fellow comrade, Math definitely is very dense and deep. Like philosophy. Which makes sense. Math is a branch of philosophy called epistemology, which is the branch of philosophy dealing with how we acquire knowledge.
'All you have to take' is calc 1, 2, 3 and differential equations to take complex analysis.... EEK!
Lol
7:25 Can confirm. Maybe the best math book I own as an undergraduate.
I studied topology before I took my first real analysis course. The grader of that course hated me! (I would do my assignments in terms of 'open covering's and the like.)
Hahahahaha
I could see the grader being frustrated rofl
@@TheMathSorcerer : He eventually stopped grading my assignments. I did them anyway and just kept them. Showed them to my prof at the end of term. He just glanced through them and counted them all good. :)
He was an excellent prof -- one of my favourites. He was (East) Indian and listened to Indian classical music. Playing some for me he said 'What she is doing is creating a continuous function with her voice'.
Mathematical Stats II was my capstone.
Congras for 100k subscribers !!
Thank you!!
was very informative, thanks!
You're welcome!
I'm only taking intro to stats why am I watching this
Sir, don't short-change yourself. Intro to stats will put you WAY ahead of the gawking rabble.
This video scared the hell out of me , thanks lol.
Lol well remember it takes years to go through all of this stuff heheheh
O my! It took me way more math classes and thus going over more math books than what you have to get my BS in pure math. Those are just half of the math books I have. 🤯
haha wow
Hey man I love your videos, would you consider make a video similar to this one, taking a bunch of popular majors like physics, economics, engineering, etc and listing the math classes that those majors take, please? Kind of the other side of the coin.
Great presentation!
Thank you kindly!
As someone who also has a bachelors in mathematics, I actually had a 99% completely different set of textbooks lol. The ones I had were:
- Single Variable Calculus: Early Transcendentals by Stewart
- Vector Calculus by Colley
- Linear Algebra and its Applications by McDonald
- Linear Algebra Done Right by Axler
- Discrete Mathematics and its Applications by Rosen
- Elementary Differential Equations and Boundary Value Problems by Boyce
- An Introduction to Partial Differential Equations by Pinchover
- Principals of Mathematical Analysis by Rudin
- Complex Variables and Applications by Brown
- Fourier Analysis by Stien
- Numerical Mathematics and Computing by Cheney
- Mathematical Models by Haberman
- Naive Set Theory by Halmos
Nice !! Some are very similar to mine but it does look like we took some different classes
i kept my astrophysics books 25 yrs before i was able to accept i am no longer interested in working at NASA - and gave them away to a used book store....
interesting story: we were required to take a third year math course - but, it was a prerequisite that you had to have 1st year computer science, and astro degrees don't require that so we got exempt...pissed off the math majors...
Can't find Elementary Linear Algebra and Matrices by Caron anywhere. Not only can't find the book on any store, but I can't even find a mention of it anywhere online (though it may just be drowned out because there are so many linear algebra books). Bit of a disappointment after it was given such a glowing recommendation.
Review Scott Steiner Math on youtube , i think he should be a math mathematician
Ok so I searched, and just watched that video with the wrestling guy, LOL!
At National Taiwan University, in the Calc I for the math majors, the math department uses Taiji Takagi's A Course on Analysis as the textbook, with Courant and John's Introduction to Calculus and Analysis I and II, and Protter and Morrey's A First Course in Real Analysis for references. By the end of the first week, the professor introduced the Fundamental Theorem of Calculus and derived the anti-derivatives of polynomials. Couple weeks later he introduced the metric space and the Heine-Borel Theorem. Already you can tell that they're taking a holistic approach to mathematics.
BTW, for a pure math degree, a curriculum with no mathematical logic is questionable, with no set theory is unbelievable.
generally not a good idea to compare math majors in Asia to those in the US lol. You could become a math major in the US without taking super rigorous courses imo.
Great video! I think have never understood Jordan composition, so it's sad that the Caron & Salzmann textbook is out of print. Would you recommend another one please?
Hated physics with all my soul. I failed physics 2 during my second semester, had to retake it during summer and thank god I got the minimum passing grade.
Ya it's hard!
I wasn't required to take statistics, which looking back was unfortunate.
I also took topology early, I think I got a C, but it did help prepare me for the class on Real Analysis.
Awesome video!!! I'd like my teacher in university could give me that information!
I think there were a lot of books missing.
A lot of geometry was missing.
Analytic geometry in 2D and 3D.
Euclidean / synthethic geometry.
Projective geometry, neutral geometry, non-euclidean geometry.
Differential geometry.
Also some metric-space topology, axiomatic set theory, logic and categories was missing.
Ya these are just the ones I took. Actually geometry is typically not required at least in most US math programs.
I don’t see any geometry besides topology, not even differential geometry! Do you think that geometry is neglected for a lot of math programs? I believe my program only has pure math majors take differential geometry.
yeah it definitely is neglected, not sure why! Yup you are right, ZERO geometry!!
linear algebra is the closest resemblance of actual math
There's a choice here in subsidiaries, like five of them. Physics and statistics are most recommended but there's chemistry, economics, geology and geography. I took geography and physics. For physics I had physics by Halliday, both volumes.
Very interesting, ty for sharing this! I’m on a teaching path so it seems physics is not on my requirements
Wonderful!
So, what science classes do you take so you have a Bachelors of Science? Most of the folks doing the math degree with a secondary education minor took physics as their science, because most of physics, is just calculus.
Iam a physics student and ive take almost all of these courses too
Wow nice!
@@TheMathSorcerer Thank u sir !
When I was studying Engineering (Information Technology), We had to study applied mathematics (1,2,3) and Discrete mathematics.
❤❤❤ thankuh friend ..
Excellent video. Please do another one like this from an applied math perspective.
Would be cool to see a Discrete Maths showdown and your opinions on Rosen vs Grimaldi vs Epp. This is somewhat of a debate in CS on which textbook is the better one for discrete maths
Interesting video!
Thank you!!!