Mathematical Methods for Physics and Engineering: A Comprehensive Guide / Edition 3

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All physical scientists and engineers need mathematical tools in their everyday work. This book takes the student from the level of starting college or university to the end of the most mathematical of science courses. It also provides a valuable reference for active researchers in physics, engineering, chemistry, applied mathematics and earth science.Throughout the text, the ph ysical relevance of the mathematics is constantly reinforced, and numerous physical worked examples are included. In this way, it provides scientists who need to use the tools of mathematics for practical purposes with a single, comprehensive textbook.
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Editorial Reviews

From The Critics
A textbook for undergraduate students of science or engineering with a background in science and mathematics at the junior level in the US and A-level in Britain. It begins by showing how familiar mathematical methods can be applied to science problems, then moves into problems that require learning new methods. The second edition takes account of comments on the 1998 first. Annotation c. Book News, Inc., Portland, OR
From the Publisher
"...the book provides scientists who need to use the tool of mathematics for practical purposes with a single, comprehensive book." Optik

"This textbook is a well-written, modern, comprehensive, and complete collection of topics in mathematical methods ranging from a review of differential and integral calculus to group and representation theory, probability, the calculus of variations, and tensors." Science Books and Films

"The second edition of Mathematical Methods for Physics and Engineering by Riley et al is a great scientific textbook." European Journal of Physics

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Product Details

  • ISBN-13: 9780521679718
  • Publisher: Cambridge University Press
  • Publication date: 2/28/2006
  • Edition description: Revised Edition
  • Edition number: 3
  • Pages: 1362
  • Sales rank: 998,886
  • Product dimensions: 6.85 (w) x 9.76 (h) x 2.20 (d)

Meet the Author

Ken Riley read Mathematics at the University of Cambridge and proceeded to a Ph.D. there in theoretical and experimental nuclear physics. He became a Research Associate in elementary particle physics at Brookhaven, and then, having taken up a lectureship at the Cavendish Laboratory, Cambridge, continued this research at the Rutherford Laboratory and Stanford; in particular he was involved in the experimental discovery of a number of the early baryonic resonances. As well as having been Senior Tutor at Clare College, where he has taught physics and mathematics for nearly forty years, he has served on many committees concerned with teaching and examining of these subjects at all levels of tertiary and undergraduate education. He is also one of the authors of 200 Puzzling Physics Problems.

Michael Hobson read Natural Sciences at the University of Cambridge, specialising in theoretical physics, and remained at the Cavendish Laboratory to complete a Ph.D. in the physics of star-formation. As a Research Fellow at Trinity Hall, Cambridge, and subsequently an Advanced Fellow of the Particle Physics and Astronomy Research Council, he developed an interest in cosmology, and in particular in the study of fluctuations in the cosmic microwave background. He was involved in the first detection of these fluctuations using a ground-based interferometer. He is currently a University Lecturer at the Cavendish Laboratory and his research interests include both theoretical and observational aspects of cosmology. He is also a Director of Studies in Natural Sciences at Trinity Hall and enjoys an active role in the teaching of undergraduate physics and mathematics.

Stephen Bence obtained both his undergraduate degree in Natural Sciences and his Ph.D. in Astrophysics from the University of Cambridge. He then became a Research Associate with a special interest in star-formation processes and the structure of star-forming regions. In particular his research has concentrated on the physics of jets and outflows from young stars. He has had considerable experience of teaching mathematics and physics to undergraduate and pre-university students.

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Table of Contents

1 Preliminary algebra 1
2 Preliminary calculus 41
3 Complex numbers and hyperbolic functions 83
4 Series and limits 115
5 Partial differentiation 151
6 Multiple integrals 187
7 Vector algebra 212
8 Matrices and vector spaces 241
9 Normal modes 316
10 Vector calculus 334
11 Line, surface and volume integrals 377
12 Fourier series 415
13 Integral transforms 433
14 First-order ordinary differential equations 468
15 Higher-order ordinary differential equations 490
16 Series solutions of ordinary differential equations 531
17 Eigenfunction methods for differential equations 554
18 Special functions 577
19 Quantum operators 648
20 Partial differential equations : general and particular solutions 675
21 Partial differential equations : separation of variables and other methods 713
22 Calculus of variations 775
23 Integral equations 803
24 Complex variables 824
25 Applications of complex variables 871
26 Tensors 927
27 Numerical methods 984
28 Group theory 1041
29 Representation theory 1076
30 Probability 1119
31 Statistics 1221
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