How to Read and Do Proofs
An Introduction to Mathematical Thought Processes 5E
Published on 12. January 2010
Book
Paperback/Softback
320 pages
978-0-470-39216-4 (ISBN)
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.
More details
Language
English
Place of publication
Chichester
United Kingdom
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Dimensions
Height: 226 mm
Width: 152 mm
Thickness: 13 mm
ISBN-13
978-0-470-39216-4 (9780470392164)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Book
09/2013
6th Edition
Wiley
€100.50
Shipment within 15-20 days
Content
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. The Uniqueness Methods 12. Induction. 13. The Either/Or Methods. 14. The Max/Min Methods. 15. 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 Selected Exercises. Glossary. References. Index.