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The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs

          
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About the Book

This book leads readers through a progressive explanation of what mathematical proofs are, why they are important, and how they work, along with a presentation of basic techniques used to construct proofs. The Second Edition presents more examples, more exercises, a more complete treatment of mathematical induction and set theory, and it incorporates suggestions from students and colleagues. Since the mathematical concepts used are relatively elementary, the book can be used as a supplement in any post-calculus course. This title has been successfully class-tested for years. There is an index for easier reference, a more extensive list of definitions and concepts, and an updated bibliography. An extensive collection of exercises with complete answers are provided, enabling students to practice on their own. Additionally, there is a set of problems without solutions to make it easier for instructors to prepare homework assignments. 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 About the Author Antonella Cupillari is an associate professor of mathematics at Pennsylvania State Erie in Behrend College. She received her Laurea in Mathematics in Italy, and her M.A. and Ph.D. at the State University of New York at Albany. She has been a participant in the Mathematical Association of America/National Science Foundation Institute on the "History of Mathematics and Its Use in Teaching." Cupillari is the author of several papers in analysis, mathematics education, and the history of mathematics. She is also the author of the first edition of The Nuts and Bolts of Proofs.


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Product Details
  • ISBN-13: 9780121994518
  • Publisher: Academic Press Inc
  • Binding: Paperback
  • Height: 229 mm
  • No of Pages: 168
  • Width: 146 mm
  • ISBN-10: 0121994511
  • Publisher Date: 05 Mar 2001
  • Edition: 2
  • Language: English
  • Weight: 281 gr


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