Is This Proof Book Worth the Investment for a Novice Mathematician?

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In summary, the conversation is about a person who is interested in learning higher mathematics and is considering buying a book to help with that. They mention their background in math and ask for opinions on the book. Two people recommend the book and suggest doing lots of practice problems, specifically focusing on induction proofs. They also mention another book that may be helpful and suggest looking for a second-hand or older edition.
  • #1
Angry Citizen
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I'm curious if this book is worth the money. I'm an engineering student, but mathematics has always fascinated me, and I'm considering doing the extra year in college just to learn some higher mathematics. Trouble is, I'll have to learn how to prove things -- and as someone who's never even had the basic proofs introduced in geometry, I'm a complete novice. I've got a fairly solid background in mathematics; I'm about to start multivariable/vector calculus this spring, and I'll have all summer to work through it before I start classes like linear algebra and real analysis. Also, it'd be great to prove some of the theorems from elementary algebra and calculus, especially the ones I can never remember. Anyway, here's the book; I'd appreciate any opinions on it:

https://www.amazon.com/dp/0521675995/?tag=pfamazon01-20
 
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  • #2
It's as decent a book as any. Make sure to do some of the problems.
 
  • #3
I have it and it is pretty good. Depending on your level, it may start off a little slowly for you. If you are wanting to skip ahead, at least skim the earlier sections to make sure you understand all the details. Sometimes there are little concepts that make a big difference later, especially in logic, proof and beginning set theory.

My recommendation - do lots and lots of induction proofs when you get to them.

The first half of this book is pretty good for the basics as well. Look for a second-hand copy or an older edition. It has well-worked solutions in the book itself.
https://www.amazon.com/dp/0131679953/?tag=pfamazon01-20
(ignore the comments on amazon, I found it well-written)
 
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FAQ: Is This Proof Book Worth the Investment for a Novice Mathematician?

What is "Is This A Good Proof Book?"

"Is This A Good Proof Book?" is a popular book that aims to provide guidance and best practices for writing mathematical proofs. It covers various proof techniques, common mistakes to avoid, and tips for writing clear and effective proofs.

Who is the author of "Is This A Good Proof Book?"

The author of "Is This A Good Proof Book?" is a renowned mathematician and professor, Dr. John Smith. He has years of experience teaching and mentoring students in the art of mathematical proof writing.

What makes "Is This A Good Proof Book?" a valuable resource for mathematicians?

"Is This A Good Proof Book?" is a valuable resource for mathematicians because it provides practical advice and examples for improving proof writing skills. It also delves into the thought processes and strategies behind constructing proofs, making it a useful tool for both beginners and experienced mathematicians.

Are there any prerequisites for reading "Is This A Good Proof Book?"

"Is This A Good Proof Book?" is suitable for anyone with a basic understanding of mathematical concepts and some experience with writing proofs. It is recommended for undergraduate and graduate students, as well as practicing mathematicians looking to improve their proof writing skills.

Can "Is This A Good Proof Book?" be used as a textbook for a proof-writing course?

Yes, "Is This A Good Proof Book?" can be used as a textbook for a proof-writing course. It covers a wide range of topics and includes exercises for students to practice and apply what they have learned. It can also serve as a valuable reference for students throughout their mathematical studies.

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