How to Read and Do Proofs An Introduction to Mathematical Thought Processes
Edition: 4th 2005 (Revised)
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.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $73.95
Copyright year: 2005
Publisher: John Wiley & Sons, Incorporated
Publication date: 10/25/2004
Size: 6.00" wide x 9.25" long x 0.50" tall
|Preface to the Student|
|Preface to the Instructor|
|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|