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I did math in undergrad and struggled with proofs at first. I learned a lot from working through An Infinite Descent into Pure Mathematics by Clive Newstead. I
by jstrieb 4y ago
I did math in undergrad and struggled with proofs at first.
I learned a lot from working through An Infinite Descent into Pure Mathematics by Clive Newstead. It's designed to get someone with minimal math background started with the basics of pure math. Becoming comfortable with proofs happens along the way.
https://infinitedescent.xyz/ https://infinitedescent.xyz/
Lately, I have also really enjoyed 99 Variations on a Proof by Philip Ording, which is not a textbook. Rather it is an Exercises in Style type book that explores many different ways to express a mathematical proof of the same simple fact. Some of the proofs are whimsical, and others offer genuine insight. If you're looking for something lighter than a textbook that is still interesting and somewhat useful, this book is more approachable.
https://www.amazon.com/99-Variations-Proof-Philip-Ording/dp/0691158835 https://www.amazon.com/99-Variations-Proof-Philip-Ording/dp/...
- sva_ 4y ago> 99 Variations on a Proof Thank you, I really enjoyed this so far. Probably going to read one per day or so and then think about it.