The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics
for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and
many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the
'special functions' of physical science, cover an extended range of practical applications of complex variables,
and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration,
have been added.
Contains all the mathematical material likely to be needed for any undergraduate course in the physical sciences
Maintains the method and clarity of presentation that has been much praised in earlier editions
Over 800 exercises: half with complete solutions available; half suitable for unaided homework - the only book
at this level to have fully-worked solutions to ALL of its problems
Table of Contents
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
