Reader in Mathematics
Department of Mathematical Sciences
The University of Liverpool

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First published in print format 2005

ISBN-13 978-0-511-11393-2 eBook (Adobe Reader)
ISBN-10 0-511-11393-5 eBook (Adobe Reader)
ISBN-13 978-0-521-83828-3 hardback

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MATLAB is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does not warrant the accuracy of the text or exercises in this book. This book s use or discussion of MATLAB software or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB software.

Dedication

Dedicated to
Zhuang and Leo Ling Yi and the loving memories of my late parents Wan-Qing and Wen-Fang

The Cambridge Monographs on Applied and Computational Mathematics reflects the crucial role of...