I can't recommend this book enough. We didn't have a proof writing type course when I was doing my undergrad 20 years ago, and our first intro to proof writing was basically our first upper division math class, and this book was always the recommended supplement to the normal textbook in the syllabus. This is the book I learned how to do proofs from.
The book is accompanied with a set of lectures given by Danny Solow. Access URL is given in the book. It is well worth watching the lectures first and then following up on each chapter of the book. Solow points out common mistakes and explains everything in detail in the video's. The book and the video's form a very good course in proof reading and writing.
The lectures are also linked from the book's page on the Wiley website. Just go there, then follow the link to "Related Resources" and then the link to "Visit Student Companion Site" and they are under the "Browse by Resource" dropdown.
Great book! I used this book when I began my math journey more than 20 years ago. I am now a high school math instructor and share this book often with my students who are a similar path in mathematics. It is a very easy read. Thanks for sharing it.
The timing of this video is spooky! I just came across a copy of this book yesterday and bought it. Mine has no edition number, so I think it’s a first ed., paperback, 1982. Thanks for the review.
hi. green tea extract=adhd meds. i can learn 2-6 hours math per day now, without side effects. when i was younger i thought 10-14h per day. i don't think much anymore, my productivity did increase a lot. best regards ch and thanks for your support. me and my 3 twins meet this week as it seems.
Hello Sir. I really like math. And I want to ask you to introduce us with the best book about the history of mathematics?. Which books are the best for that line, if I want to know more about the history of math. Thanks you sir I always see your video it is amazing actually. With best regards.
As a first year engineering student what is the best book regarding calculus (1-3)? I know it's kinda a broad question but watching your reviews for calculus books like spivak's book and george thomas and others made me want to get all of them but unfortunately I can't afford all of them. Even half of them :) So I would appreciate your advice on that. 🙏
Hello sir, recently Google has launched alpha geometry which could solve 25/30 rigorous and tough international mathematics Olympiad. So will AI replace mathematicians. Can AI do maths better than humans.
I don't think so, for creativity, humans are better than AI. However, the power of geometry seems to be underestimated nowadays, Sir Newton mentioned the importance of geometry in the very beginning of The Principia.
@@Physicist123 I got this conclusion from the applied math perspective, the ability to abstract a real-world problem into mathematical language and solve it is way more important than just "doing math".and this is a creative process.
I am trying to learn how to do proofs but no matter what I can’t just don’t understand how I get ideas to proof it like how do you get the idea can you recommend how to do study myself. I am quite good at math despite proofing or geometry and physics. So how to learn it cause I am trying to win national math Olympiad and get into IMO
@@entjbadass Try looking for a book in your native language. Math is precise and subtle misunderstandings of English could make this a hopeless task, at least until you understand the precise meaning of mathematical terms in English.
@@pswinslow Thank you. I actually study IGSCE math and I am trying to learn more Olympiad math but well it’s been hard to me. Thank for the help anyways
Professors (or teaching fellows, more likely) make the mistake of doing proofs on the blackboard in entry-level 101 economics and math classes. This is a waste of time and a sure way to turn the students off to the subject at hand.
A collection of objects is a valid definition of a set. Just ‘cause you can’t define object? Definitions aren’t turtles all the way down. The foundation is obsessive definition. You point to it and you say “that.”
An overrated text with deficiencies such as lacking providing the reader developmental understanding of predicate calculus. The title, along with the equally inferior Vellman's text, are the default first choice both in search results and selection. There exists better, newer texts including Cummings discussed on this very channel. My preferred, superior alternative is Ronald Morash's Bridge to Abstract Mathematics.
I can't recommend this book enough. We didn't have a proof writing type course when I was doing my undergrad 20 years ago, and our first intro to proof writing was basically our first upper division math class, and this book was always the recommended supplement to the normal textbook in the syllabus. This is the book I learned how to do proofs from.
The book is accompanied with a set of lectures given by Danny Solow. Access URL is given in the book. It is well worth watching the lectures first and then following up on each chapter of the book. Solow points out common mistakes and explains everything in detail in the video's. The book and the video's form a very good course in proof reading and writing.
The lectures are also linked from the book's page on the Wiley website. Just go there, then follow the link to "Related Resources" and then the link to "Visit Student Companion Site" and they are under the "Browse by Resource" dropdown.
Great book! I used this book when I began my math journey more than 20 years ago. I am now a high school math instructor and share this book often with my students who are a similar path in mathematics. It is a very easy read. Thanks for sharing it.
Thanks for anything you do...
I watch you from iraq 🇮🇶 ❤
The timing of this video is spooky! I just came across a copy of this book yesterday and bought it. Mine has no edition number, so I think it’s a first ed., paperback, 1982. Thanks for the review.
You love your proofs !! They frighten the life out of me
One of the best textbooks on formal proofs.
Make video on explaining both branches of mathamatics Core and Applied .
Great recommendation
I would love a video comparing some selected proof books with pros and cons and such. 😊
Proofs when introduced into my highschool math made me hate math having dyslexia.
hi. green tea extract=adhd meds. i can learn 2-6 hours math per day now, without side effects. when i was younger i thought 10-14h per day. i don't think much anymore, my productivity did increase a lot. best regards ch and thanks for your support. me and my 3 twins meet this week as it seems.
Hello Sir.
I really like math.
And I want to ask you to introduce us with the best book about the history of mathematics?.
Which books are the best for that line, if I want to know more about the history of math.
Thanks you sir I always see your video it is amazing actually.
With best regards.
Hello math sorcerer can you recommend a book for geometrical proofs
Problems and Solutions in Euclidean Geometry, by M.N.Aref, William Wernick. Very nice book, and very affordable as well
@@MathwithMing thank you. Very much
Math sorcer please make more videos about talent,effort,disability,and being average.
We hold these proofs to be self referential, that all men are equally created...
As a first year engineering student what is the best book regarding calculus (1-3)?
I know it's kinda a broad question but watching your reviews for calculus books like spivak's book and george thomas and others made me want to get all of them but unfortunately I can't afford all of them. Even half of them :)
So I would appreciate your advice on that. 🙏
Anna's library has free download books pdf
I recommend Strang's Calculus books. It is a good middle between Spivak and the plug -n chug style books.
Silverman's calculus book is also good! And since it's a Dover book, it's pretty affordable!
Hello sir, recently Google has launched alpha geometry which could solve 25/30 rigorous and tough international mathematics Olympiad. So will AI replace mathematicians. Can AI do maths better than humans.
I don't think so, for creativity, humans are better than AI. However, the power of geometry seems to be underestimated nowadays, Sir Newton mentioned the importance of geometry in the very beginning of The Principia.
@@CanadaElonBut those problems were also creative and rigorous still AI could solve it
you don’t understand anything about life or creativity or mathematics
@@hl8138it is true that AI alphageometry has solved 25/30 tough geometry problems. What can you say about this
@@Physicist123 I got this conclusion from the applied math perspective, the ability to abstract a real-world problem into mathematical language and solve it is way more important than just "doing math".and this is a creative process.
I am trying to learn how to do proofs but no matter what I can’t just don’t understand how I get ideas to proof it like how do you get the idea can you recommend how to do study myself. I am quite good at math despite proofing or geometry and physics. So how to learn it cause I am trying to win national math Olympiad and get into IMO
So anything to recommend
Did you watch the video? It's a recommendation of a proof-writing book for beginners to help you learn exactly what you said you want to learn.
@@pswinslow yes yes I watched it but well I am reading the book right and I just can’t seem to get the idea of how to make it work in any problems.
@@entjbadass Try looking for a book in your native language. Math is precise and subtle misunderstandings of English could make this a hopeless task, at least until you understand the precise meaning of mathematical terms in English.
@@pswinslow Thank you. I actually study IGSCE math and I am trying to learn more Olympiad math but well it’s been hard to me. Thank for the help anyways
How geting help from tutors or anyone is good and not a sign of weakness.How important it is to help.How being Arrogant or not helping is bad.
A superb book. A great review and introduction.
But how you handle the poor book is more painful to me than a toothache ...
Professors (or teaching fellows, more likely) make the mistake of doing proofs on the blackboard in entry-level 101 economics and math classes. This is a waste of time and a sure way to turn the students off to the subject at hand.
A collection of objects is a valid definition of a set. Just ‘cause you can’t define object? Definitions aren’t turtles all the way down. The foundation is obsessive definition. You point to it and you say “that.”
An overrated text with deficiencies such as lacking providing the reader developmental understanding of predicate calculus.
The title, along with the equally inferior Vellman's text, are the default first choice both in search results and selection.
There exists better, newer texts including Cummings discussed on this very channel.
My preferred, superior alternative is Ronald Morash's Bridge to Abstract Mathematics.