Mathematica Books on Mathematical Proofs and Theory

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A user seeks recommendations for a book that covers mathematical proofs and equations, particularly to strengthen their understanding of logical progression in proofs. They are currently completing multivariable calculus and will soon study differential equations, aiming for a resource that starts with simple algebraic proofs and progresses to more complex calculus-based proofs. Another user recommends "Reading, Writing and Proving" by Ulrich Daepp and Pamela Gorkin, noting its effectiveness in teaching rigorous mathematical proofs, although they express a desire for more time to engage with the exercises.
Lyuokdea
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I'm looking for a book that gives you many equations and goes through proofs etc. One of my weaknesses mathematically tends to be logically getting from one point to another when I'm not solving problems numerically and remembering what are and what are not legal steps to prove something. I'm currently in finishing multivariable calculus and am doing differential equations next quarter when I plan to be going through this stuff. However, I would like a book which kind of starts at the beginning with simple proofs that can be done algebraically and then moves through to more difficult calculus based proofs.

All suggestions are appreciated.

~Lyuokdea
 
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I picked up "Reading, Writing and Proving", by Ulrich Daepp and Pamela Gorkin. I have read about a third of the book and wish I had the time to get back to the exercises. I too have had much trouble in learing how to do rigorous mathematical proofs (the only course I flunked at the university). It looks pretty good so far.
 
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