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

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Book Title
How to Read and Do Proofs: An Introduction to Mathematical Though
Publication Date
2004-10-25
Edition Number
4
Pages
288
ISBN
0471680583
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
Wiley & Sons, Incorporated, John
ISBN-10
0471680583
ISBN-13
9780471680581
eBay Product ID (ePID)
30899390

Product Key Features

Number of Pages
288 Pages
Publication Name
How to Read and Do Proofs : an Introduction to Mathematical Thought Processes
Language
English
Publication Year
2004
Subject
Logic
Features
Revised
Type
Textbook
Author
Daniel Solow
Subject Area
Mathematics
Format
Trade Paperback

Dimensions

Item Height
0.4 in
Item Weight
11.7 Oz
Item Length
9.4 in
Item Width
6.2 in

Additional Product Features

Edition Number
4
Intended Audience
College Audience
LCCN
2004-058651
Reviews
"I think that Solow has written an excellent text that I will highly recommend as a supplementary text for several upper division mathematics courses including abstract algebra and mathematical analysis." (Phillip Bean, Mercer University) "His already fine book becomes more usable by having the four subject-targeted appendices." (Richard Delaware, UMKC) "The book covers all the basic proof techniques in a very readable, concise way without overwhelming the student. The organization is great. I like the short chapters highlighting only one concept at a time." (Josephine Hamer, Western Connecticut State University) "Very clear, rigorous, extremely thorough, almost unique in what it tries to do, reaches out to weaker students." (Michael Thaddeus, Columbia University)
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
511.3/6
Table Of Content
Foreword.Preface to the Student.Preface to the Instructor.Acknowledgments.1. The Truth of It All.2. The Forward-Backward Method.3. On Definitions and Mathematical Terminology.4. Quantifiers I: The Construction Method.5. Quantifiers II: The Choose Method.6. Quantifiers III: Specialization.7. Quantifiers IV: Nested Quantifiers.8. Nots of Nots Lead to Knots.9. The Contradiction Method.10. The Contrapositive Method.11. Uniqueness Methods and Induction.12. Either/or and Max/Min Methods.13. Summary.Appendix A: Examples of Proofs from Discrete Mathematics.Appendix B: Examples of Proofs from Linear Algebra.Appendix C: Examples of Proofs from Modern Algebra.Appendix D: Examples of Proofs from Real Analysis.Solutions to Select Exercises.Glossary.References.Index.
Edition Description
Revised edition
Synopsis
An easy-to-use guide that shows how to read, understand, and do proofs. Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis., An essential reference for anyone grappling with advanced mathematics, this Fourth Edition help readers master the basic techniques that are used in all proofs, regardless of the mathematical subject matter in which the proof arises.
LC Classification Number
QA9.54.S65 2005

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