Handbook of mathematical formulas and integrals
/ Alan Jeffrey
- 3rd ed.
- California : Academic Press, 2005
- xxvi, 453 p.
1. Quick reference list of frequently used data 2. Numerical, algebraic and analytical results for series and calculus 3. Functions and identities 4. Derivatives of elementary functions 5. Indefinite integrals of algebraic functions 6. Indefinite integrals of exponential functions 7. Indefinite integrals of logarithmic functions 8. Indefinite integrals of hyperbolic functions 9. Indefinite integrals involving inverse hyperbolic functions 10. Indefinite integrals of trigonometric functions 11. Indefinite integrals of inverse trigonometric functions 12. The gamms, beta, pi and psi functions 13. Elliptic integrals and functions 14. Probability integrals and the error function 15. Fresnel integrals, sine and cosine integrals 16. Definite integrals 17. Different forms of fourier series 18. Bessel functions 19. Orithogonal polynomials 20. Laplace transformation 21. Fourier transforms 22. Numerical integration 23. Solutions of standard ordinary differential equations 24. Vector analysis 25. Systems of orthogonal coordinates 26. Partial differential equations and special functions 27. The z-transform 28. Numerical approximation 29. Solutions of elliptic, parabolic and hyperbolic equations 30. Qualitative properties of the heat and laplace equation