How to Prove It: A Structured Approach, 2nd Edition

4.18 avg rating
( 494 ratings by GoodReads )
 
9780521675994: How to Prove It: A Structured Approach, 2nd Edition

Geared to preparing students to make the transition from solving problems to proving theorems, this text teaches them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

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

Book Description:

Beginning with the basic concepts of logic and set theory, this book teaches the language of mathematics and how it is interpreted. The author uses these concepts as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. He shows how complex proofs are built up from these smaller steps, using detailed "scratch work" sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.

About the Author:

Daniel J. Velleman received his BA at Dartmouth College in 1976 summa cum laude, the highest distinction in mathematics. He received his PhD from the University of Wisconsin, Madison, in 1980 and was an instructor at the University of Texas, Austin, from 1980 to 1983. His other books include Which Way Did the Bicycle Go? (with Stan Wagon and Joe Konhauser, 1996) and Philosophies of Mathematics (with Alexander George, 2002). Among his awards and distinctions are the Lester R. Ford Award for the paper 'Versatile Coins' (with Istvan Szalkai, 1994), and the Carl B. Allendoerfer Award for the paper 'Permutations and Combination Locks' (with Greg Call, 1996). He has been a member of the editorial board for American Mathematical Monthly since 1997 and was Editor of Dolciani Mathematical Expositions from 1999 to 2004. He published papers in the Journal of Symbolic Logic, Annals of Pure and Applied Logic, Transactions of the American Mathematical Society, Proceedings of the American Mathematical Society, American Mathematical Monthly, the Mathematics Magazine, the Mathematical Intelligencer, the Philosophical Review, and the American Journal of Physics.

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

Top Search Results from the AbeBooks Marketplace

1.

Daniel J. Velleman
Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2006)
ISBN 10: 0521675995 ISBN 13: 9780521675994
New Paperback Quantity Available: 10
Seller
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2006. Paperback. Book Condition: New. 2nd Revised edition. 228 x 152 mm. Language: English . Brand New Book. Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman s successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed scratch work sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians. Bookseller Inventory # AAA9780521675994

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 30.04
Convert Currency

Add to Basket

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

2.

Daniel J. Velleman
Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2006)
ISBN 10: 0521675995 ISBN 13: 9780521675994
New Paperback Quantity Available: 10
Seller
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2006. Paperback. Book Condition: New. 2nd Revised edition. 228 x 152 mm. Language: English . Brand New Book. Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman s successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed scratch work sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians. Bookseller Inventory # AAA9780521675994

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 33.87
Convert Currency

Add to Basket

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

3.

Daniel J. Velleman
Published by Cambridge University Press
ISBN 10: 0521675995 ISBN 13: 9780521675994
New Paperback Quantity Available: > 20
Seller
THE SAINT BOOKSTORE
(Southport, United Kingdom)
Rating
[?]

Book Description Cambridge University Press. Paperback. Book Condition: new. BRAND NEW, How to Prove it: A Structured Approach (2nd Revised edition), Daniel J. Velleman, Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians. Bookseller Inventory # B9780521675994

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 26.29
Convert Currency

Add to Basket

Shipping: US$ 7.62
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Daniel J. Velleman
ISBN 10: 0521675995 ISBN 13: 9780521675994
New Quantity Available: 2
Seller
BWB
(Valley Stream, NY, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Depending on your location, this item may ship from the US or UK. Bookseller Inventory # 97805216759940000000

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 35.03
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

5.

Daniel J. Velleman
Published by Cambridge University Press 2006-01-16, Cambridge (2006)
ISBN 10: 0521675995 ISBN 13: 9780521675994
New paperback Quantity Available: > 20
Seller
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Cambridge University Press 2006-01-16, Cambridge, 2006. paperback. Book Condition: New. Bookseller Inventory # 9780521675994

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 29.41
Convert Currency

Add to Basket

Shipping: US$ 5.77
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Velleman, Daniel J.
Published by Cambridge University Press (2006)
ISBN 10: 0521675995 ISBN 13: 9780521675994
New Quantity Available: > 20
Seller
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Cambridge University Press, 2006. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # FM-9780521675994

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 24.75
Convert Currency

Add to Basket

Shipping: US$ 11.54
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Daniel J. Velleman
Published by Cambridge University Press (2006)
ISBN 10: 0521675995 ISBN 13: 9780521675994
New Softcover Quantity Available: 2
Seller
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Cambridge University Press, 2006. Book Condition: New. book. Bookseller Inventory # ria9780521675994_rkm

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 32.46
Convert Currency

Add to Basket

Shipping: US$ 4.26
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

Daniel J. Velleman
ISBN 10: 0521675995 ISBN 13: 9780521675994
New Quantity Available: 2
Seller
Speedy Hen LLC
(Sunrise, FL, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Bookseller Inventory # ST0521675995. Bookseller Inventory # ST0521675995

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 37.96
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

9.

Velleman, Daniel J.
ISBN 10: 0521675995 ISBN 13: 9780521675994
New Quantity Available: > 20
Seller
Paperbackshop-US
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description 2006. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # VM-9780521675994

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 36.58
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

10.

Velleman, Daniel J.
ISBN 10: 0521675995 ISBN 13: 9780521675994
New Softcover Quantity Available: 15
Seller
VNHM SHOP
(Pompano Beach, FL, U.S.A.)
Rating
[?]

Book Description Softcover. Book Condition: New. Geared to preparing students to make the transition from solving problems to proving theorems, this text teaches them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5. Bookseller Inventory # 113714500

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 40.83
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book