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Synopsis
The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems.
* The "List of Symbols" has been extended.
* Set Theory section has been strengthened with more examples and exercises.
* Addition of "A Collection of Proofs"
"synopsis" may belong to another edition of this title.
Book Description
This simple, updated guidebook shows how to read, understand and construct proofs
From the Back Cover
Well-regarded in its first edition, The Nuts and Bolts of Proofs leads readers through an explanation of mathematical proofs, the basic rules of logic that makes them work and basic techniques used to construct them.
The Nuts and Bolts of Proofs can be used to supplement upper-level mathematics courses. It can also be used effectively for self-learning. The mathematical concepts are elementary, the presentation is accessible and exercises with solutions are included.
This second edition presents more examples, more exercises and a more complete treatment of mathematical induction and set theory. This book has been class tested with success for many years.
"I particularly like the 'Warning' given just before the solutions. This provides excellent instructions on how to work at the writing of a proof."
--Patricia R. Allaire, Queensborough Community College
"The author puts a lot of care into explaining the components and logic of mathematical proofs. The style allowed a slow yet methodical reading of the various explanations and examples."
--Joel Zinn, Texas A&M University
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- PublisherAcademic Press
- Publication date2005
- ISBN 10 0120885093
- ISBN 13 9780120885091
- BindingPaperback
- Edition number3
- Number of pages192
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