内容

目次

Prefaces; 1. Preliminary algebra; 2. Preliminary calculus; 3. Complexnumbers and hyperbolic functions; 4. Series and limits; 5. Partialdifferentiation; 6. Multiple integrals; 7. Vector algebra; 8. Matrices andvector spaces; 9. Normal modes; 10. Vector calculus; 11. Line, surface andvolume integrals; 12. Fourier series; 13. Integral transforms; 14.First-order ordinary differential equations; 15. Higher-order ordinarydifferential equations; 16. Series solutions of ordinary differentialequations; 17. Eigenfunction methods for differential equations; 18. Specialfunctions; 19. Quantum operators; 20. Partial differential equations: generaland 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.