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

## Antonella Cupillari

3.4 avg rating
( 15 ratings by Goodreads )

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

"synopsis" may belong to another edition of this title.

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.

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

"About this title" may belong to another edition of this title.

Buy New View Book
£ 34.74

Shipping: FREE
From United Kingdom to U.S.A.

Destination, Rates & Speeds

## 1.The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs (Paperback)

Published by Elsevier Science Publishing Co Inc, United States (2012)
ISBN 10: 0123822173 ISBN 13: 9780123822178
New Paperback Quantity Available: 10
Seller:
Book Depository hard to find
(London, United Kingdom)
Rating

Book Description Elsevier Science Publishing Co Inc, United States, 2012. Paperback. Book Condition: New. 4th edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Bookseller Inventory # EOD9780123822178

£ 34.74
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 2.The Nuts and Bolts of Proofs

ISBN 10: 0123822173 ISBN 13: 9780123822178
New Paperback Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating

Book Description Academic Press, 2012. Paperback. Book Condition: NEW. 9780123822178 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE01192920

£ 31
Convert Currency
Shipping: £ 8
From United Kingdom to U.S.A.
Destination, Rates & Speeds

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

ISBN 10: 0123822173 ISBN 13: 9780123822178
New Paperback Quantity Available: 1
Seller:
SUPERSTORE
(New Delhi, India)
Rating

Book Description Elsevier, 2012. Paperback. Book Condition: New. BRAND NEW, ORIGINAL US EDITION, CUSTOMER SATISFACTION IS OUR FIRST PRIORITY, SHIPS TO US, CANADA, UK, GERMANY, SOUTH KOREA, AUSTRALIA, JAPAN, CHINA, ITALY, FRANCE BY DHL AND DELIVERED IN 3-5 DAYS. Bookseller Inventory # ELS-39

£ 39.04
Convert Currency
Shipping: £ 4.47
From India to U.S.A.
Destination, Rates & Speeds

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

ISBN 10: 0123822173 ISBN 13: 9780123822178
New Paperback Quantity Available: 1
Seller:
Revaluation Books
(Exeter, United Kingdom)
Rating

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

£ 52.55
Convert Currency
Shipping: £ 6
From United Kingdom to U.S.A.
Destination, Rates & Speeds

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

ISBN 10: 0123822173 ISBN 13: 9780123822178
New Paperback Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating

Book Description Academic Press, 2012. Paperback. Book Condition: New. 4. Bookseller Inventory # DADAX0123822173

£ 55.68
Convert Currency
Shipping: £ 3.02
Within U.S.A.
Destination, Rates & Speeds

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

ISBN 10: 0123822173 ISBN 13: 9780123822178
New Paperback Quantity Available: 2
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating

Book Description Academic Press, 2012. Paperback. Book Condition: New. Never used!. Bookseller Inventory # P110123822173