Antonella Cupillari The Nuts and Bolts of Proofs

# The Nuts and Bolts of Proofs

## Antonella Cupillari

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The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It also includes the negation statement, and/or. It examines various theorems, such as the if and only-if, or equivalence theorems, the existence theorems, and the uniqueness theorems. In addition, use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are covered in this chapter. The book also provides mathematical topics for practicing proof techniques. Included here are the Cartesian products, indexed families, functions, and relations. The last chapter of the book provides review exercises on various topics. Undergraduate students in engineering and physical science will find this book invaluable. * Jumps right in with the needed vocabulary-gets students thinking like mathematicians from the beginning* Offers a large variety of examples and problems with solutions for students to work through on their own* Includes a collection of exercises without solutions to help instructors prepare assignments* Contains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics

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Product Description:

The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic mechanics of proofs are provided for a methodical approach in gaining an understanding of the fundamentals to help students reach different results. A variety of fundamental proofs demonstrate the basic steps in the construction of a proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. * Jumps right in with the needed vocabulary-gets students thinking like mathematicians from the beginning* Offers a large variety of examples and problems with solutions for students to work through on their own* Includes a collection of exercises without solutions to help instructors prepare assignments* Contains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics

Review:

"It is written with great accuracy and a level of enthusiasm necessary for the Herculean task of launching mathematical handle-turners into the world of mathematical thinking.for those required to teach 'transition courses', I recommend perusal of this book as a possible course text."--MAA online, December 3, 2013

## 1.The Nuts and Bolts of Proofs

ISBN 10: 0123822173 ISBN 13: 9780123822178
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Book Description Academic Press, 2012. Paperback. Book Condition: NEW. 9780123822178 296pp., Paperback, This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0892873

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## 2.THE NUTS AND BOLTS OF PROOFS, AN INTRODUCTION TO MATHEMATICAL PROOFS, 4/e, PB "N E W"

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## 3.The Nuts and Bolts of Proofs, Fourth Edition: An Introduction to Mathematical Proofs

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## 4.The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs

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Book Description Academic Press, 2012. Paperback. Book Condition: Brand New. 4th edition. 283 pages. 8.75x7.25x0.75 inches. In Stock. Bookseller Inventory # zk0123822173

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## 5.The Nuts and Bolts of Proofs, Fourth Edition: An Introduction to Mathematical Proofs

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## 6.Nuts & Bolts Of Proofs 4th Edition An Introduction to Mathematical Proofs

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## 7.The Nuts and Bolts of Proofs, Fourth Edition: An Introduction to Mathematical Proofs

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## 8.The Nuts and Bolts of Proofs, An Introduction to Mathematical Proofs, 4th Edition

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Book Description Academic Press 01/05/2012, 2012. Read atributes on the page. Book Condition: New. Dust Jacket Condition: Nuevo. Nuevo. Enviamos a todo el mundo. Bookseller Inventory # Joao001216

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## 9.The Nuts and Bolts of Proofs, Fourth Edition: An Introduction to Mathematical Proofs

ISBN 10: 0123822173 ISBN 13: 9780123822178
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Book Description Academic Press, 2012. Paperback. Book Condition: New. Bookseller Inventory # P110123822173

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## 10.The Nuts and Bolts of Proofs, Fourth Edition: An Introduction to Mathematical Proofs

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Book Description Academic Press, 2012. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: "It is written with great accuracy and a level of enthusiasm necessary for the Herculean task of launching mathematical handle-turners into the world of mathematical thinking.for those required to teach 'transition courses', I recommend perusal of this book as a possible course text."-- MAA online, December 3, 2013. Bookseller Inventory # ABE_book_new_0123822173