An Introduction to Mathematical Reasoning

Numbers, Sets and Functions

Peter J. Eccles (University of Manchester)

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Hardback

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English

Cambridge University Press
09 February 1998

Mathematical foundations

This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. 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 developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems 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.

By: Peter J. Eccles (University of Manchester)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 157mm, Spine: 24mm
Weight: 705g
ISBN: 9780521592697
ISBN 10: 0521592690
Pages: 364
Publication Date: 09 February 1998
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

Reviews for An Introduction to Mathematical Reasoning: Numbers, Sets and Functions

'The book is written with understanding of the needs of students ...' European Mathematical Society A student planning to study advanced mathematics would be well served by first mastering the material in this book...a rigorous study of sevearl fundamental topics pervasive in mathematics, including sets, functions, cardinality, combinatorics, and modular arithmetic. D.S. Larson, Choice