Cover image for How to read and do proofs : an introduction to mathematical thought processes
Title:
How to read and do proofs : an introduction to mathematical thought processes
Author:
Solow, Daniel.
Personal Author:
Edition:
Third edition.
Publication Information:
New York : Wiley, [2002]

©2002
Physical Description:
xviii, 202 pages : illustrations ; 24 cm
Language:
English
Electronic Access:
Table of Contents http://www.loc.gov/catdir/toc/onix06/2001026941.html
ISBN:
9780471406471
Format :
Book

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Library
Call Number
Material Type
Home Location
Status
Central Library QA9.54 .S65 2002 Adult Non-Fiction Central Closed Stacks
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Summary

Summary

This book categorizes, identifies and explains the various techniques that are used repeatedly in all proofs and explains how to read proofs that arise in mathematical literature by understanding which techniques are used and how they are applied.


Table of Contents

Forewordp. ix
Preface to the Studentp. xi
Preface to the Instructorp. xiii
Acknowledgmentsp. xvii
1 Chapter 1: The Truth of It Allp. 1
2 Chapter 2: The Forward-Backward Methodp. 9
3 Chapter 3: On Definitions and Mathematical Terminologyp. 23
4 Chapter 4: Quantifiers I: The Construction Methodp. 35
5 Chapter 5: Quantifiers II: The Choose Methodp. 45
6 Chapter 6: Quantifiers III: Specializationp. 59
7 Chapter 7: Quantifiers IV: Nested Quantifiersp. 69
8 Chapter 8: The Contradiction Methodp. 79
9 Chapter 9: The Contrapositive Methodp. 91
10 Chapter 10: Nots of Nots Lead to Knotsp. 99
11 Chapter 11: Uniqueness Methods and Inductionp. 105
12 Chapter 12: Either/Or and Max/Min Methodsp. 121
13 Chapter 13: Summaryp. 133
Appendix A Putting It All Together: Part Ip. 145
Appendix B Putting It All Together: Part IIp. 153
Solutions to Selected Exercisesp. 161
Glossaryp. 193
Referencesp. 199
Indexp. 201

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