A Cascade of Numbers: An Introduction to Number Theory (A Hodder Arnold Publication)

Burn, Bob,Chetwynd, Amanda

ISBN 10: 0340652519 / ISBN 13: 9780340652510

Published by Hodder Education Publishers, 1995

About this Item

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Bibliographic Details

• Title: A Cascade of Numbers: An Introduction to Number Theory (A Hodder Arnold Publication)
• Publisher: Hodder Education Publishers
• Publication Date: 1995
• Language: English
• ISBN 10: 0340652519
• ISBN 13: 9780340652510
• Binding: paperback
• Condition: Very Good

About this title

Synopsis

This practical textbook introduces classical number theory using a variety of mathematical puzzles, problems and exercises, which lead the reader to rigorous proofs. Based on courses at both Exeter and Lancaster universities, the text adopts a lively, practical approach to the subject for students of number theory. The book is divided into 53 sections, arranged in three parts, each section consisting of two halves. The first half is raw material, encouraging student activity leading to pattern recognition and conjecture. In the second half, formal structures are identified and proofs are constructed, with comments and solutions. The aim is to provide an innovative approach to number theory which encourages a participatory style of learning, rather than a traditional system based on lectures. Students are encouraged to expand their understanding of the subject through active participation in solving the puzzles. No prior knowledge of the subject is required, but the contents of the book should be useful to student mathematicians, engineers and applied scientists.

About the Author

Bob Burn, University of Manchester. Amanda Chetwynd, University of Lancaster.