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

ISBN-10: 0470392169

ISBN-13: 9780470392164

Edition: 5th 2009

Authors: Daniel Solow

List price: $108.99
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Description:

When engineers, computer scientists, and economists need to learn how to read, think about, and create proofs, they turn to Solow. In order to make the material more relevant, the exercises in each chapter have been revised and expanded. New and more complete discussions are included on how to use a previously-proved proposition in both the forward and backward processes. The fifth edition also presents new, self-contained chapters on uniqueness, induction, either/or, and max/min methods. Several final examples of how to read and do proofs are included in the final chapter to reinforce the reader's knowledge of the various proof techniques.
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Book details

List price: $108.99
Edition: 5th
Copyright year: 2009
Publisher: John Wiley & Sons, Incorporated
Publication date: 11/30/2009
Binding: Paperback
Pages: 320
Size: 5.98" wide x 8.88" long x 0.52" tall
Weight: 0.748
Language: English

Foreword
Preface to the Student
Preface to the Instructor
Acknowledgments
The Truth of It All
The Forward-Backward Method
On Definitions and Mathematical Terminology
Quantifiers I: The Construction Method
Quantifiers II: The Choose Method
Quantifiers III: Specialization
Quantifiers IV: Nested Quantifiers
Nots of Nots Lead to Knots
The Contradiction Method
The Contrapositive Method
The Uniqueness Methods
Induction
The Either/Or Methods
The Max/Min Methods
Summary
Examples of Proofs from Discrete Mathematics
Examples of Proofs from Linear Algebra
Examples of Proofs from Modern Algebra
Examples of Proofs from Real Analysis
Solutions to Selected Exercises
Glossary
References
Index
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