How do mathematicians approach a problem, explore the possibilities, and develop an understanding of a whole area around it? The issue is not simply about obtaining 'the answer'; rather, Beardon explains that a mathematical problem is just one of many related ones that should be simultaneously investigated and discussed at various levels, and that understanding this is a crucial step in becoming a creative mathematician. The book begins with some good advice about procedure, presentation, and organisation that will benefit every mathematician, budding, teaching or practised. In the rest of the book, Beardon presents a series of simple problems, then, through discussion, consideration of special cases, computer experiments, and so on, the reader is taken through these same problems, but at an increasing level of sophistication and generality. Mathematics is rarely a closed book, and seemingly innocent problems, when examined and explored, can lead to results of significance.

This book explains how to think like a mathematician, and provides good advice on how to become one.

About the Author
Alan F. Beardon studied at London University and Harvard University, and obtained his Ph.D. from Imperial College, London in 1964. He taught at the University of Maryland (USA) and the University of Kent (UK) before moving to the University of Cambridge in 1968. He is the author of 6 mathematical texts and numerous research papers.

Reviews
"This is an inspiring book." Paul J. Campbell, Mathematics Magazine



Book Information
ISBN 9780521130592
Author Alan F. Beardon
Format Paperback
Page Count 122
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 160g
Dimensions(mm) 215mm * 142mm * 10mm