Jeffrey, Alan

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


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Mathematics

510 / J46