This Video Will Change the Way You See Math - Complex Variables Unveiled!

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  • Опубліковано 13 січ 2025

КОМЕНТАРІ • 47

  • @martinhawrylkiewicz2025
    @martinhawrylkiewicz2025 3 місяці тому +13

    Great vid! I used this book in my Complex Variables class as a grad student. Aside from this book I also used Schaums Outlines book on Complex Variables to help me understand the topic.

  • @codework-vb6er
    @codework-vb6er 3 місяці тому +8

    1. To efficiently work with pencils, get two pencil cups, sharpen the entire box of pencils and place it in one pencil cup (sharp cup), while the used, dull pencils go into the other (dull cup). As a pencil become dull, put it into the dull cup and take new sharp pencil from the sharp cup. Evetually you must sharpen the batch of pencils to reset.
    2. To fix table instability, buttress two sides of table against two sides of room, such as a room corner.

    • @larryyonce
      @larryyonce 3 місяці тому +2

      That's exactly what I do with my set of pencils as well.

    • @aniksamiurrahman6365
      @aniksamiurrahman6365 3 місяці тому +1

      Why not use pen instead?

    • @Lolleka
      @Lolleka 3 місяці тому

      nice

    • @Lolleka
      @Lolleka 3 місяці тому

      I use a mechanical pencil tho

  • @douglasstrother6584
    @douglasstrother6584 3 місяці тому +5

    One can also start from the definition of the modulus: z*z = |z|^2 to show that 1/z = z*/|z|^2. It's good to go through the details once like MS did.

  • @cdkslakkend5742
    @cdkslakkend5742 3 місяці тому +5

    Oh my, you are triggering memories in me. My first math course in university called Algebra and Geometry, introduced the 3 dimensional plane and then later in the course, the complex plane. This is what hooked me. I remember the feeling of exhilaration I had learning complex numbers. That was many many years ago.

  • @Anduwaithe
    @Anduwaithe 3 місяці тому +5

    Awesome, I've been learning complex variables using this book, and it's really good in my opinion. Also, thanks for all your book review videos! I collected a small library of 8 math textbooks this summer for self-study and your recommendations helped me a lot in the process of selecting them.

  • @KevinFournier-xd3ub
    @KevinFournier-xd3ub 3 місяці тому +1

    Churchill/Brown is a classic text, I have an older copy I have used for reference many times. There are many good books on Complex Analysis. I like Gamelin's text, Saff/Snider is good as is Mathews. A really fun one is "Visual Complex Analysis" by Tristan Needham. That is a fantastic book which ties in some of the fun Geometric side of things. Complex Variables is such a cool subject that branches off into so many fascinating landscapes of Mathematics, PDE's, integration, Geometry, Algebra, etc.

  • @Saiphysics6626
    @Saiphysics6626 3 місяці тому +1

    MATH. I love these types of videos where you review the book and solve a few exercises. Thank You so much you are THE GREATEST.

  • @MathieuBoudreauPhD
    @MathieuBoudreauPhD 3 місяці тому +1

    Love this book - I had this exact version for my complex analysis class in my physics undergrad. Quite pleasant and approachable

  • @rodneycummings1456
    @rodneycummings1456 3 місяці тому +2

    I used this book in my undergrad Complex Variables class. It also has a student solution manual with odd worked out problems.

  • @Calcprof
    @Calcprof 3 місяці тому +2

    Churchill has been around for a long long time. I think this is a revision of the original Churchill. I had complex analysis from Nahari, more of less out of this book in an earlier edition.

  • @GoogleUser-ee8ro
    @GoogleUser-ee8ro 3 місяці тому

    it is a very good math book. I have the 9th ed. it is a very mathy, yet not too mathy, to the point being intimidating like some books. And the exercises in this book are excellent! if i have only one complaint, wish there were more examples. Or you can buy the solution book which is a great complement as well

  • @masterdistiller5173
    @masterdistiller5173 3 місяці тому +1

    More of these types of videos please!

  • @primeparagon
    @primeparagon 3 місяці тому

    Absolutely love this book.

  • @youshaahmed5999
    @youshaahmed5999 3 місяці тому

    I used the same book in my complex analysis course

  • @martinhawrylkiewicz2025
    @martinhawrylkiewicz2025 3 місяці тому

    Nice vid! I would do in a faster way. Let z = x + iy, and let w =1/z = 1/(x + iy).now multiply top and bottom by the conjugate of the denominator.

  • @firstname4337
    @firstname4337 3 місяці тому +1

    that's a lot of work for one problem -- and teachers always assign 10 problems that each have a part a, part b, part c ...
    so you end up doing 40 different math problems

  • @biswaranjan17
    @biswaranjan17 3 місяці тому +2

    Make a video on Gödel's incompleteness theorems

  • @BigKokRomi69
    @BigKokRomi69 3 місяці тому +1

    Hi Math Sorcerer! I'm in my 2nd year of math major and I was wondering, is it normal to learn from solutions? Especially proof based questions? I feel like I've lost the enthusiasm i used to have while solving sums on my own. Proofs have not been easy for me. Is there a way to be better at writing proof based questions?

    • @KevinFournier-xd3ub
      @KevinFournier-xd3ub 3 місяці тому +1

      Yes, of course it is normal to learn from solutions. After taking a stab at a proof or solution, it is very helpful to look at a solution. How else would you learn to write and understand the grammar of Mathematics without examples. Imagine trying to learn to write and speak if you never read a book or talked to anyone. As a second year, you have so much to learn, so be easy on yourself, as there is an amazing journey ahead of you. Be sure to read and try to understand proofs from your texts, and make sure to use your professors as a resource to ask questions, that is what they are there for. And as time goes on, you will gain experience and grow.

  • @argo3571
    @argo3571 3 місяці тому +1

    Great video, I wanted to ask,if possible could you review Zorich analysis 1? It's a russian real analysis book, Vladimir Arnold defined it as the best analysis book.

  • @angelaarizona3375
    @angelaarizona3375 3 місяці тому

    Almost 1 million subscribers! Thank you for these videos

  • @birthcontrolraccoon9785
    @birthcontrolraccoon9785 3 місяці тому

    I have a copy of this book. It is well written.

  • @cowhidemusic8904
    @cowhidemusic8904 3 місяці тому

    That book gives me nightmares. I was a Ph.D. student in chemistry way back in 2002 and the last elective course I took was complex analysis. We used that book. I was so done with course work. I think I managed a B-.

  • @worldnotworld
    @worldnotworld 3 місяці тому +4

    Math would be nothing without that sensuous tension of stylus upon surface, be it stick on sand or pencil on paper...

    • @zimpitt5253
      @zimpitt5253 3 місяці тому +1

      I could not agree more with their majestic quote, you are a poet my friend

  • @Mananextra-p1n
    @Mananextra-p1n 3 місяці тому

    Review on the path to combinatorics for undergraduates by titu andreescu pheraps?

  • @naveenkumarl-cu1rw
    @naveenkumarl-cu1rw 3 місяці тому

    Currently I am studying UG physics. CAN I USE IAN NAISMITH SNEDDON book of elements of partial differential equations

  • @TheAAZSD
    @TheAAZSD 3 місяці тому

    Great book.

  • @willthecat3861
    @willthecat3861 3 місяці тому

    I don't see anymore than what we did in high school? (I didn't know arithmetic on complex numbers was complex analysis.)

  • @AdminAdminilka
    @AdminAdminilka 3 місяці тому

    1 year ago l was good at math ( l am still good at) and l didn't know anything about informatics and l chose İT as a profession and l really regret it ,l wish l had't chosen it

  • @johnbirkenhauer4061
    @johnbirkenhauer4061 3 місяці тому

    Haven't finished watching video (seems informed, interested, and interesting, so we'll done), but:
    Get to the ER to have your ADHD meds checked, cause...DAMN!

  • @f3nox_ff
    @f3nox_ff 3 місяці тому +1

    Sir I cannot Start Or Not getting Motivation to Start Maths I only do procrastination pls guide me love from India

    • @TempoAbe-c6z
      @TempoAbe-c6z 3 місяці тому +1

      I started with pre algebra, then moved on to algebra 1 then algebra 2 and hope to move on to calculus next. It's going good so far.

    • @rmayr2075
      @rmayr2075 3 місяці тому +1

      Try and try again. If you want it understand that you will never stop, never give up and one day you will do it. If you scroll more than 2 hours a day, start there. Math is hard and was only doable when I cut down on some of the instant gratification in life.

    • @waqarhaider2226
      @waqarhaider2226 3 місяці тому

      Turn off the internet on your phone and keep it away from you while you study

    • @waqarhaider2226
      @waqarhaider2226 3 місяці тому

      Turn off the internet on your phone and keep it away from you while you study

    • @seemashrimali4555
      @seemashrimali4555 3 місяці тому +1

      Learn mathematics for its beauty not just for studying it

  • @timthompson468
    @timthompson468 2 місяці тому

    No big deal?

  • @waldoarriagada3180
    @waldoarriagada3180 3 місяці тому

    that book is not for beginners