Worked Examples in Mathematics for Scientists and Engineers

by G. Stephenson

Overview

This rich collection of fully worked problems in many areas of mathematics covers all the important subjects students are likely to encounter in their courses, from introductory to final-year undergraduate classes. Because lecture courses tend to focus on theory rather than examples, these exercises offer a valuable complement to classroom teachings, promoting the understanding of mathematical techniques and helping students prepare for exams. They will prove useful to undergraduates in mathematics; students in engineering, physics, and chemistry; and postgraduate scientists looking for a way to refresh their skills in specific topics.
The problems can supplement lecture notes and any conventional text. Starting with functions, inequalities, limits, differentiation, and integration, topics encompass integral inequalities, power series and convergence, complex variables, hyperbolic function, vector and matrix algebra, Laplace transforms, Fourier series, vector calculus, and many other subjects.

Product Details

ISBN-13:	9780486844619
Publisher:	Dover Publications
Publication date:	09/15/2019
Series:	Dover Books on Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	256
File size:	22 MB
Note:	This product may take a few minutes to download.

About the Author

Geoffrey Stephenson (1927–2018) was Reader in the Department of Mathematics at the Imperial College of Science and Technology, London. He was the author of several mathematical texts, including Dover's An Introduction to Matrices, Sets and Groups.

Read an Excerpt

PREFACE

It is widely accepted that worked examples have an important part to play in the teaching of mathematics, and that they lead to a greater understanding of essential mathematical ideas. Lecture courses usually tend to concentrate, if for no other reason than shortage of time, on the theory rather than examples. This collection of fully worked problems covers most of the topics met in ancillary mathematics courses, and used with a set of lecture notes or conventional textbook should greatly facilitate the understanding of mathematical techniques. It should also provide an effective means of revision for examinations.

The book is especially written for students in scientific disciplines who require mathematical skills, particularly engineers, physicists and chemists. Mathematics students studying mathematical methods as part of their Honours course should, however, find many of these problems of interest, and postgraduate scientists wishing to recall their knowledge of particular topics could well find this book a useful aid.

Most of the examples in this book have been taken from problem sheets I have set for students studying various disciplines at Imperial College. The origins of many of these problems are impossible to identify, and I am therefore grateful to any of my colleagues, past and present, who may have contributed at some time or other to their formulation. Other problems have been chosen from examination papers set for ancillary courses at Imperial College (London University) and have therefore been referred to by (L.U.) in the text. I am grateful to the University for permission to use these problems.; the solutions are, of course, my own responsibility.

I am grateful to Dr. Noel Baker and Norman Froment for reading the manuscript and making a number of valuable comments, and also to my many students who have attempted these problems and shown me more clearly where their difficulties occurred.

Finally it is a pleasure to thank the staff at Longman for their continued friendly cooperation and encouragement.

Imperial College, 1984.

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Excerpted from "Worked Examples in Mathematics for Scientists & Engineers"
by .
Copyright © 1985 G. Stephenson.
Excerpted by permission of Dover Publications, Inc..
All rights reserved. No part of this excerpt may be reproduced or reprinted without permission in writing from the publisher.
Excerpts are provided by Dial-A-Book Inc. solely for the personal use of visitors to this web site.

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Table of Contents

Contents

Preface
1. Functions
2. Inequalities
3. Limits
4. Differentiation
5. Integration
6. Integral inequalities
7. Power series and convergence
8. Complex variables
9. Hyperbolic functions
10. Partial differentiation
11. Stationary values of functions of two variables
12. Determinants and difference equations
13.Vector algebra
14. Matrix algebra
15, Line and double integrals
16. Ordinary differential equations
17. Special functions
18. Laplace transform
19. Fourier series
20. Vector calculus
21. Partial differential equations
22. Functions of matrices
23. Contour integration
24. Fourier transforms
25. Calculus of variations
26. Suffix notation
Index