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# How to Prove It: A Structured Approach

Geared to preparing students to make the transition from solving problems to proving theorems, this text teaches them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step brea
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Paperback, 2nd Edition, 384 pages

Published
March 1st 2006
by Cambridge University Press
(first published November 25th 1994)

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## Community Reviews

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И к сожалению, этой книги почему-то нет на русском.

P. S.: еще жаль, что в универе я не знала про сайт http://www.tricki.org/ %)

This book is very accessible and demands from the student little in the way of prerequisite math knowledge.

Author does not expect much from the reader and begins with very basic concepts and slowly progresses towards quantifiers, then set theory, relation and functions, mathematical induction and finally, infinite sets.

Inside introduction, author gives proof of few theorems in an intuitive way. Later when armed with all the proofing techniques all of those proofs were revisited and reader can clearly se ...more

If you do the exercises, you'll have found that what initially seemed like an arbitrary set of rules have become a set of tools that feel completely natural. Also note that there is no shortage of exercises -- you can do as ma ...more

* describes basic concepts in Logic

* gives common proof strategies, with plenty of examples

* dives into more set theory, defining functions, etc

He does all this assuming the reader is NOT a mathematician–in fact, he does an excellent job of explaining a mathematician’s thought process when trying to prove something.

I highly recommend this book if you feel uncomfortable reading and/or writing proofs, since ...more

The only downside is that, like other non-text books, there are only selected answers to the many exercises throughout the book.

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