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How to Prove It : A Structured Approach by Daniel J. Velleman (2006, Perfect)
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521675995
ISBN-139780521675994
eBay Product ID (ePID)48651661
Product Key Features
Number of Pages398 Pages
Publication NameHow to Prove It : a Structured Approach
LanguageEnglish
Publication Year2006
SubjectProgramming / General, General, Logic
FeaturesRevised
TypeTextbook
AuthorDaniel J. Velleman
Subject AreaMathematics, Computers
FormatPerfect
Dimensions
Item Height0.9 in
Item Weight18.8 Oz
Item Length9 in
Item Width6 in
Additional Product Features
Edition Number2
Intended AudienceCollege Audience
LCCN2005-029447
Reviews"The book provides a valuable introduction to the nuts and bolts of mathematical proofs in general." William M. McGovern, University of Washington, SIAM Reviews, "The prose is clear and cogent ... the exercises are plentiful and are pitched at the right level.... I recommend this book very highly!" MAA Reviews, "This is a good book, and an exceptionally good mathematics book. Thorough and clear explanations, examples, and (especially) exercised with complete solutions all contribute to make this an excellent choice for teaching yourself, or a class, about writing proofs." Brent Smith, SIGACT News, "The prose is clear and cogent ... the exercises are plentiful and are pitched at the right level.... I recommend this book very highly!" The Mathematical Association of America, "The book provides a valuable introduction to the nuts and bolts of mathematical proofs in general." SIAM Review, 'The book begins with the basic concepts of logic and theory ... These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. No background standard in high scholl mathematics is assumed.' L'enseignement mathematique
Dewey Edition22
IllustratedYes
Dewey Decimal511.3
Table Of Content1. Sentential logic; 2. Quantificational logic; 3. Proofs; 4. Relations; 5. Functions; 6. Mathematical induction; 7. Infinite sets.
Edition DescriptionRevised edition
SynopsisGeared 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, 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., This new edition of Dan Velleman's successful textbook contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software., Daniel J. Velleman's lively text prepares students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. This new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.
LC Classification NumberQA9.V38 2006
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Ratings and Reviews
Most relevant reviews
- Jan 17, 2022
One of the best math proofs out there!
By far the best math proofs book I've read. If I've known this book for high school geometry, I've would've actually understood the proofs and be able to analyze why they're true, rather than blindly memorizing them. (I'm a comp sci & science major). The author writes with such lucid explanations & examples to show how proofs are constructed, which is not only useful for those wanting to understand proofs but crucial for areas of computer science and those (planning) to conduct research in hard science. Now when I look at math problems, instead of seeing them as weird, foreign symbols and logic I have to put hours to decipher & items to memorize, I know how to systematically break them into their appropriate structures & logic to get why it's true/false. If you want to learn to write your own proofs, you'll be glad to know he teaches that too. It's thicker than other proofs books, but especially handy to fill in explanations when dealing with intricacies of complex proofs. Anyways, great book!Verified purchase: YesCondition: Pre-owned
