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.
A wide-ranging and comprehensive textbook for physical scientists who need to use the tools of mathematics for practical purposes.
'… the book provides scientists who need to use the tool of
mathematics for practical purposes with a single, comprehensive
book. I recommend this book not only to students in physics and
engineering sciences, but also to students in other fields of
natural sciences.' P. Steward, Optik
'… suitable as a textbook for undergraduate use … this is a book
that in view of its content and its modest softcover price, will
find its way on to many bookshelves.' Nigel Steele, The Times
Higher Education Supplement
'Riley et al. has clear, thorough and straightforward explanations
of the subjects treated. It rigorously adopts a three-stage
approach throughout the book: first a heuristic, intuitive
introduction, then a formal treatment, and finally one or two
examples. This consistent presentation, the layout, and the print
quality make the book most attractive … clearness of presentation,
comprehensiveness and value for money. It contains a thousand
pages, there are plenty of excercises with each chapter, and … the
layout and print quality are very good.' J. M. Thijssen, European
Journal of Physics
This is a valuable book with great potential use in present-day
university physics courses. Furthermore, the book will be useful
for graduate too, and researchers will find it useful for looking
up material which they have forgotten since their undergraduate
days.' J. M. Thijssen, European Journal of Physics
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