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.
* Successfully class-tested over a number of years
* Index for easy reference
* Extensive list of definitions and concepts
* Updated biblography
"synopsis" may belong to another edition of this title.
This simple, updated guidebook shows how to read, understand and construct proofsFrom 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 this title" may belong to another edition of this title.
Book Description Academic Press, 2001. Paperback. Book Condition: New. book. Bookseller Inventory # 0121994511
Book Description Academic Press, 2001. Paperback. Book Condition: New. 2. Bookseller Inventory # DADAX0121994511
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