How to Read and Do Proofs: An Introduction to Mathematical Thought Processes 5th Edition

I think this is the only book you should consider first when looking at how mathematical proofs are constructed and read. It is very clearly and fluently written. At the inner covers the various proof technique's main points are illustrated for quick reference, which comes very handy when you want to look up a proof techique without going into its details. This book contains all the important proof techniques you may require in your life as a student.The main point of this book, of course, is to teach you how to write proofs by yourself by showing you how to construct and to disentangle dense written proofs. It is not enough to learn to write a proof, it also essential to know how to approach dense, compact wirtten proofs in order to learn from them. This one is the essential guide to mathematical proofs out there. I hope you enjoy it

I'm an Electronic and Computer Systems Engineer, but in my spare time I like to do Mathematics, specially Real & Functional Analysis, I didn't go to any formal courses, but thanx to this book I had the possibility to learn these abstract subjects, now the part that I like most is to analyze proofs in any other subject of Mathematics dissecting their steps using what is taught in this book. I have, I thing, all the other books that talk about proofs, but for me this is the best.P.S.:This book works for Mathematicians too.Recomendation:Now you can have a Real Analysis Book that use the Dr. Solow Method of analyzing proofs, its name is: Introduction to Real Analysis by Michael J. Schramm

Since my daughter is a Math major, she learn so much about Proofs, will definitely recommend to anyone who is Major in MAth, arrive on time

Excellent book!

Excellently written for a student who is just beginning to learn proofs. I do wish however that there were more advanced proofs included in the text.

This book could contain more explanations for the proofs than it includes, but it has still been very helpful for my course.