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How to prove it : = a structured app...

Velleman, Daniel J.

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How to prove it : = a structured approach /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	How to prove it :/ Daniel J. Velleman (Amherst College, Massachusetts)
其他題名:	a structured approach /
作者:	Velleman, Daniel J.
出版者:	Cambridge ;Cambridge University Press, : c2019.,
面頁冊數:	xii, 458 p. :ill. ;23 cm.
附註:	Previous edition: 2006.
內容註:	Introduction -- Sentential logic -- Quantificational logic -- Proofs -- Relations -- Functions -- Mathematical induction -- Number theory -- Infinite sets -- Appendix.
標題:	Logic, Symbolic and mathematical - Textbooks. -
ISBN:	9781108439534

How to prove it : = a structured approach /
Velleman, Daniel J.

How to prove it :a structured approach /Daniel J. Velleman (Amherst College, Massachusetts) - 3rd ed. - Cambridge ;Cambridge University Press,c2019. - xii, 458 p. :ill. ;23 cm.

Previous edition: 2006.

Includes bibliographical references (p. 451-452) and index.

Introduction -- Sentential logic -- Quantificational logic -- Proofs -- Relations -- Functions -- Mathematical induction -- Number theory -- Infinite sets -- Appendix.

"Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of 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 an analysis of techniques that can be used to build up complex proofs step by step, using detailed 'scratch work' sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians."--

ISBN: 9781108439534GBP29.99

LCCN: 2019013488Subjects--Topical Terms:

631783
Logic, Symbolic and mathematical
--Textbooks.

LC Class. No.: QA9 / .V38 2019

Dewey Class. No.: 511.3

How to prove it : = a structured approach /
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300 $a xii, 458 p. : $b ill. ; $c 23 cm.
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520 # $a "Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of 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 an analysis of techniques that can be used to build up complex proofs step by step, using detailed 'scratch work' sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians."-- $c Amazon.com
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