How to prove it: a structured approach

By:

Velleman, Daniel J

Publication details: Cambridge University Press, 2019. Cambridge,Edition: 3rd edDescription: xii, 458 p. : ill. ; pb, 23 cmISBN:

9781108439534

Subject(s):

DDC classification:

511.3 VEL

Summary: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This book will prepare students for such courses by teaching them techniques for writing and reading proofs. No background beyond high school mathematics is assumed. The book begins with logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. This understanding of the language of mathematics serves as the basis for a detailed discussion of the most important techniques used in proofs, when and how to use them, and how they are combined to produce complex proofs. Material on the natural numbers, relations, functions, and infinite sets provides practice in writing and reading proofs, as well as supplying background that will be valuable in most theoretical mathematics courses.

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	511.3 VEL (Browse shelf(Opens below))	1	Available		030204

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Previous	511.3 PUD Logical foundations of mathematics and computational complexity: a gentle introduction	511.3 TOU Lectures in logic and set theory: mathematical Logic , Vol.1	511.3 TOU Lectures in logic and set theory: set theory, Vol. 2	511.3 VEL How to prove it: a structured approach	511.3 WIG Mathematics and computation: a theory revolutionizing technology and science	511.32 BEL Toposes and local set theories: an introduction	511.32 PLO Hausdorff on ordered sets	Next

Includes bibliographical references and index.

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This book will prepare students for such courses by teaching them techniques for writing and reading proofs. No background beyond high school mathematics is assumed. The book begins with logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. This understanding of the language of mathematics serves as the basis for a detailed discussion of the most important techniques used in proofs, when and how to use them, and how they are combined to produce complex proofs. Material on the natural numbers, relations, functions, and infinite sets provides practice in writing and reading proofs, as well as supplying background that will be valuable in most theoretical mathematics courses.

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