Prefaces; 1. Preliminary algebra; 2. Preliminary calculus; 3. Complex numbers and hyperbolic functions; 4. Series and limits; 5. Partial differentiation; 6. Multiple integrals; 7. Vector algebra; 8. Matrices and vector spaces; 9. Normal modes; 10. Vector calculus; 11. Line, surface and volume integrals; 12. Fourier series; 13. Integral transforms; 14. First-order ordinary differential equations; 15. Higher-order ordinary differential equations; 16. Series solutions of ordinary differential equations; 17. Eigenfunction methods for differential equations; 18. Special functions; 19. Quantum operators; 20. Partial differential equations: general and particular; 21. Partial differential equations: separation of variables; 22. Calculus of variations; 23. Integral equations; 24. Complex variables; 25. Application of complex variables; 26. Tensors; 27. Numerical methods; 28. Group theory; 29. Representation theory; 30. Probability; 31. Statistics; Index.
This highly acclaimed undergraduate textbook teaches all the mathematics for undergraduate courses in the physical sciences.
From reviews of previous editions: '…a great scientific textbook.
It is a tour de force … to write mathematical sections that are
both complete and at an appropriate academic level. The authors
have clearly succeeded in this challenge, making this a remarkable
pedagogical book … The choice of exercises is excellent and
possibly the best feature of the book. In summary, this textbook is
a great reference at undergraduate levels, particularly for those
who like to teach or learn using lots of examples and exercises.'
R. Botet, European Journal of Physics
'… 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 … and value for money. It
contains a thousand pages, there are plenty of exercises with each
chapter.' 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
'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
'This is a very comprehensive textbook suitable for most students
enrolling on undergraduate degree courses in engineering. It
contains 31 stand-alone chapters of mathematical methods which
enable the students to understand the principles of the basic
mathematical techniques and the authors have produced a clear,
thorough and straightforward explanation of each subject. … finding
a single textbook which covers the engineering student's need
throughout their entire course is by no means an easy task. I
believe the authors have achieved it … complete fully worked
solutions … which I think is a useful asset for both students and
lecturers.' Civil Engineering
' ... this highly acclaimed undergraduate textbook is suitable for
teaching all the mathematics ever likely to be needed for an
undergraduate course in any of the physical sciences. As well as
lucid descriptions of all the topics covered and many worked
examples, it contains more than 800 exercises.' L'enseignement
mathematique
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