An Introduction to Mathematical Reasoning

An Introduction to Mathematical Reasoning Numbers, Sets and Functions

Paperback (11 Dec 1997)

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Publisher's Synopsis

The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. This is achieved by exploring set theory, combinatorics and number theory, topics which include many fundamental ideas which are part of the tool kit of any mathematician. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. Over 250 problems include questions to interest and challenge the most able student as well as plenty of routine exercises to help familiarize the reader with the basic ideas.

Book information

ISBN: 9780521597180
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
DEWEY: 511.3
DEWEY edition: 21
Language: English
Number of pages: 350
Weight: 524g
Height: 227mm
Width: 152mm
Spine width: 14mm