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How to Read and Do Proofs : An Introduction to Mathematical Thought Processes by Daniel Solow (2004, Trade Paperback)

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About this product

Product Identifiers

PublisherWiley & Sons, Incorporated, John

ISBN-100471680583

ISBN-139780471680581

eBay Product ID (ePID)30899390

Product Key Features

Number of Pages288 Pages

Publication NameHow to Read and Do Proofs : an Introduction to Mathematical Thought Processes

LanguageEnglish

Publication Year2004

SubjectLogic

FeaturesRevised

TypeTextbook

AuthorDaniel Solow

Subject AreaMathematics

FormatTrade Paperback

Dimensions

Item Height0.4 in

Item Weight11.7 Oz

Item Length9.4 in

Item Width6.2 in

Additional Product Features

Edition Number4

Intended AudienceCollege Audience

LCCN2004-058651

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 Edition22

IllustratedYes

Dewey Decimal511.3/6

Table Of ContentForeword.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 DescriptionRevised edition

SynopsisAn 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 NumberQA9.54.S65 2005