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

Name: How to Read and Do Proofs An Introduction to Mathematical Thought Processes
Price: 8.52 USD
Availability: InStock
ISBN: 9780471680581

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 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.

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: 6.24" wide x 9.37" long x 0.38" tall
Weight: 0.814



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