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

ISBN-10: 0470392169

ISBN-13: 9780470392164

Pub. Date: 12/08/2009

Publisher: Wiley

Danieli solow's new fifth edition of How to Read and Do Proofs will help you master the basic techniques that are used in all proofs, regardless of the mathematical subject matter in which the proof arises. Once you have a firm grasp of the techniques, you'll be better equipped to read understand and actuary do proofs. You'll learn when each technique is likely to

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## Overview

Danieli solow's new fifth edition of How to Read and Do Proofs will help you master the basic techniques that are used in all proofs, regardless of the mathematical subject matter in which the proof arises. Once you have a firm grasp of the techniques, you'll be better equipped to read understand and actuary do proofs. You'll learn when each technique is likely to be successful, based on keywords that appear in the theorem.

This Fifth Edition features a complete revision and expansion of the exercises in the main body of the text. Other changes include replacing the previous Chapters 11 and 12 with new Chapters 11-14 new discussions in Chapters 1, 3 and 5 expanding on previous content and covering new material; and the inclusion of several, unitying examples at the conclusion of the text.

## Product Details

ISBN-13:
9780470392164
Publisher:
Wiley
Publication date:
12/08/2009
Pages:
320
Product dimensions:
5.90(w) x 8.90(h) x 0.50(d)

 1 The truth of it all 1 2 The forward-backward method 9 3 On definitions and mathematical terminology 23 4 Quantifiers I : the construction method 35 5 Quantifiers II : the choose method 45 6 Quantifiers III : specialization 59 7 Quantifiers IV : nested quantifiers 69 8 Nots of nots lead to knots 79 9 The contradiction method 87 10 The contrapositive method 99 11 Uniqueness methods and induction 107 12 Either/or and max/min methods 123 13 Summary 135 App. A Examples of proofs from discrete mathematics 143 App. B Examples of proofs from linear algebra 157 App. C Examples of proofs from modern algebra 175 App. D Examples of proofs from real analysis 193