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Mathematical methods for physics and engineering : a comprehensive guide / K. F. Riley, M. P. Hobson, S. J. Bence

Main Author Riley, Kenneth Franklin, 1936- Coauthor Hobson, Michael Paul, 1967-
Bence, Stephen John, 1972-
Country Reino Unido. Publication Cambridge : Cambridge University Press, cop. 1998 Description XIX, 1008 p. ; 25 cm ISBN 0-521-55529-9 CDU 517
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Enhanced descriptions from Syndetics:

All physical scientists and engineers need mathematical tools in their everyday work. This book presents mathematics in a form appropriate for undergraduate courses. The material covered is comprehensive, and 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 advanced students and active researchers in physics, engineering, chemistry, applied mathematics and earth science. Throughout the text, the physical 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. Students will find the book friendly and approachable, and graduate students and researchers will find it an invaluable reference.

Table of contents provided by Syndetics

  • Preface
  • 1 Preliminary calculus
  • 2 Complex numbers and hyperbolic functions
  • 3 Series and limits
  • 4 Partial differentiation
  • 5 Multiple integrals
  • 6 Vector algebra
  • 7 Matrices and vector spaces
  • 8 Vector calculus
  • 9 Line, surface and volume integrals
  • 10 Fourier series
  • 11 Integral transforms
  • 12 First order ODEs
  • 13 Higher order ODEs
  • 14 Series solutions of ordinary differential equations
  • 15 Eigenfunction methods for differential equations
  • 16 PDEs: general and particular solutions
  • 17 PDEs: separation of variables and other methods
  • 18 Complex variables
  • 19 Tensors
  • 20 Calculus of variations
  • 21 Integral equations
  • 22 Group theory
  • 23 Representation theory
  • 24 Probability
  • 25 Numerical methods
  • Appendix 1 Special functions
  • Index

Reviews provided by Syndetics


Riley (senior tutor, Clare College, Cambridge), Hobson (Director of Studies in Natural Science, Trinity Hall), and Bence (research associate, Cavendish Laboratory) have prepared this book on mathematical methods for students of physics and engineering. Topics include differential and integral calculus, differential equations, complex variables, tensors, the calculus of variations, integral equations, group theory, probability and statistics, and numerical methods. The book covers a very broad range of topics but provides little depth of coverage. The authors typically state important theorems, provide a few worked examples, and then move on to the next topic. Subtle mathematical issues such as uniform convergence and the existence of limits are often ignored. The authors make very little reference to graphing calculators and software packages for symbolic computation. The pedagogical style is completely different from that now in vogue in the US. This book may be compared with Deborah Hughes-Hallett, Andrew M. Gleason, et al., Calculus (1994), which makes use of the "rule of three," presenting each topic in graphical, numerical, and symbolic form. Undergraduates. B. Borchers New Mexico Institute of Mining and Technology

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