Mathematical Methods for Mathematicians, Physical Scientists and Engineers

Author: Dunning-Davies   Jeremy  

Publisher: Elsevier Science‎

Publication year: 2003

E-ISBN: 9780857099563

P-ISBN(Paperback): 9781904275107

P-ISBN(Hardback):  9781904275107

Subject: O17 Mathematical Analysis

Language: ENG

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Description

This practical introduction encapsulates the entire content of teaching material for UK honours degree courses in mathematics, physics, chemistry and engineering, and is also appropriate for post-graduate study. It imparts the necessary mathematics for use of the techniques, with subject-related worked examples throughout. The text is supported by challenging problem exercises (and answers) to test student comprehension. Index notation used in the text simplifies manipulations in the sections on vectors and tensors. Partial differential equations are discussed, and special functions introduced as solutions. The book will serve for postgraduate reference worldwide, with variation for USA.

  • Imparts the necessary mathematics for use of the techniques, with subject-related worked examples throughout
  • Encapsulates the entire context of teaching material for UK honours degree courses in mathematics, physics, chemistry and engineering, and is also appropriate for post-graduate study

Chapter

Front Cover

pp.:  1 – 4

ABOUT THE AUTHOR

pp.:  3 – 12

Copyright Page

pp.:  5 – 6

Table of Contents

pp.:  6 – 3

Author's Preface

pp.:  12 – 14

Chapter 2. Complex Numbers

pp.:  38 – 59

Chapter 3. Integration

pp.:  59 – 97

Chapter 4. Infinite Series

pp.:  97 – 116

Chapter 5. Matrices and Determinants

pp.:  116 – 155

Chapter 6. Vector Algebra

pp.:  155 – 199

Chapter 7. Functions of Several Variables

pp.:  199 – 213

Chapter 8. Ordinary Differential Equations

pp.:  213 – 249

Chapter 9. Line, Surface and Volume Integrals

pp.:  249 – 267

Chapter 10. Vector Analysis

pp.:  267 – 291

Chapter 11. Fourier Series

pp.:  291 – 302

Chapter 12. Partial Differential Equations

pp.:  302 – 328

Chapter 13. Some Special Functions

pp.:  328 – 364

Chapter 14. Functions of a Complex Variable

pp.:  364 – 391

Chapter 15. Tensors

pp.:  391 – 403

Answers to Exercises

pp.:  403 – 413

Bibliography

pp.:  413 – 414

Index

pp.:  414 – 418

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