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An introduction to mathematical reasoning: numbers, sets, and functions

An introduction to mathematical reasoning: numbers, sets, and functions

Eccles, Peter J., 1945-

Paperback, Book. English.
Published Cambridge: Cambridge University Press, 1997
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Details

Statement of responsibility: Peter J. Eccles
ISBN: 0521597188, 9780521597180
Note: Includes indexes.
Note: The purpose of this book is to introduce the basic ideas of mathematical proof to students emabarking 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, combintronics 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 all time great classic proofs. The book presents mathematics as a continually devleoping subject. Material meeting the needs of readers froma wide range of backgrounds is included. There are over 250 problems which include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
Physical Description: xii, 350p. : ill. ; 23cm.
Subject: Proof theory.