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

ISBN-10: 0471680583
ISBN-13: 9780471680581
Edition: 4th 2005 (Revised)
Authors: Daniel Solow
List price: $73.95
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Description: 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  More...

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Book details

List price: $73.95
Edition: 4th
Copyright year: 2005
Publisher: John Wiley & Sons, Incorporated
Publication date: 10/25/2004
Binding: Paperback
Pages: 288
Size: 6.00" wide x 9.25" long x 0.50" tall
Weight: 0.814
Language: English

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.

Foreword
Preface to the Student
Preface to the Instructor
Acknowledgments
Chapter 1: The Truth of It All
Chapter 2: The Forward-Backward Method
Chapter 3: On Definitions and Mathematical Terminology
Chapter 4: Quantifiers I: The Construction Method
Chapter 5: Quantifiers II: The Choose Method
Chapter 6: Quantifiers III: Specialization
Chapter 7: Quantifiers IV: Nested Quantifiers
Chapter 8: The Contradiction Method
Chapter 9: The Contrapositive Method
Chapter 10: Nots of Nots Lead to Knots
Chapter 11: Uniqueness Methods and Induction
Chapter 12: Either/Or and Max/Min Methods
Chapter 13: Summary
Putting It All Together: Part I
Putting It All Together: Part II
Solutions to Selected Exercises
Glossary
References
Index

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