A MATHEMATICAL BRIDGE

This book is an alternative and highly engaging introduction to the highlights of a typical undergraduate mathematics course. Building on very simple principles, it develops these mathematical highlights, known to every well-rounded mathematician, in an intuitive and entertaining way. The aim of the book is to motivate and inspire the reader to discover and understand some of these truly amazing mathematical structures and ideas which are frequently not fully grasped, pass unnoticed or simply swamped in an undergraduate mathematics course. For the experienced mathematician the book offers refreshing, often enlightening, hindsight. For the novice it is an exciting intellectual journey.

Contents:

Numbers
Analysis
Algebra
Calculus and Differential Equations
Probability
Theoretical Physics
Appendices:
- Exercises for the Reader
- Further Reading
- Basic Mathematical Background
- Dictionary of Symbols

Readership: Mathematics students and teachers.

“This nicely written book invites the reader to an interesting journey into the challenging, difficult, but exciting world of undergraduate mathematics … It has a wide selection of exercises for each chapter, suggestions for further reading, and appendices with useful background material. Reading this passionately written text shall be very helpful for those who mistakenly believe that higher mathematics is a dull and hard to understand subject.”

Zentralblatt MATH

“As a teacher of undergraduate mathematics I found this book to be a valuable resource … the material is presented in an uncluttered clear style that will enable undergraduates to use the book for reinforcement and/or alternative viewpoints on the mathematics they are learning. The exercises for the reader are about at the right level for an undergraduate and the mathematics covered is not just pure mathematics but essential topics in mathematical physics and probability theory.”

Mathematical Reviews

“This book is written in a way that is suitable not only for the student looking forward and the graduate in reflective mode, but also for schoolteachers seeking material on which to base their accounts of mathematics … The book concludes with a substantial body of exercises that aims to reinforce and extend the material.”

Times Higher Education

548pp		Pub. date: Aug 2003
ISBN: 978-981-238-554-3 981-238-554-1		US$110 / £87

548pp		Pub. date: Aug 2003
ISBN: 978-981-238-555-0(pbk) 981-238-555-X(pbk)		US$58 / £43

Imperial College Press \| Global Publishing \| Asia-Pacific Biotech News \| Innovation Magazine Labcreations Co \| Meeting Matters \| National Academies Press Copyright © 2010 World Scientific Publishing Co. All rights reserved. Updated on 9 February 2010