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.
About Peter J. Eccles
fm.author_biographical_note1Details Book
Author  :  Peter J. Eccles 
Publisher  :  Cambridge University Press 
Data Published  :  11 December 1997 
ISBN  :  0521597188 
EAN  :  9780521597180 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  362 pages 
Age +  :  18 years 
Language  :  English 
Rating  : 
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