Mathematical handbook of formulas and tables
(Book)

pt. A. Formulas -- section I. Elementary constants, products, formulas -- 1. Greek alphabet and special constants -- 2. Special products and factors -- 3. The binomial formula and binomial coefficients -- 4. Complex numbers -- 5. Solutions of algebraic equations -- 6. Conversion factors -- section II. Geometry -- 7. Geometric formulas -- 8. Formulas from plane analytic geometry -- 9. Special plane curves -- 10. Formulas from solid analytic geometry -- 11. Special moments of inertia -- section III. Elementary transcendental functions -- 12. Trigonometric functions -- 13. Exponential and logarithmic functions -- 14. Hyperbolic functions -- section IV. Calculus -- 15. Derivatives -- 16. Indefinite integrals -- 17. Tables of special indefinite integrals -- 18. Definite integrals -- section V. Differential equations and vector analysis -- 19. Basic differential equations and solutions -- 20. Formulas from vector analysis -- section VI. Series -- 21. Series of constants -- 22. Taylor series -- 23. Bernoulli and Euler numbers -- 24. Fourier series -- section VII. Special functions and polynomials -- 25. The Gamma function -- 26. The Beta function -- 27. Bessel functions -- 28. Legendre and associated Legendre functions -- 29. Hermite polynomials -- 30. Laguerre and associated Laguerre polynomials -- 31. Chebyshev polynomials -- 32. Hypergeometric functions -- section VIII. Laplace and Fourier transforms -- 33. Laplace transforms -- 34. Fourier transforms -- section IX. Elliptic and miscellaneous special functions -- 35. Elliptic functions -- 36. Miscellaneous and Riemann Zeta functions -- section X. Inequalities and infinite products -- 37. Inequalities -- 38. Infinite products -- section XI. Probability and statistics -- 39. Descriptive statistics -- 40. Probability -- 41. Random variables -- section XII. Numerical methods -- 42. Interpolation -- 43. Quadrature -- 44. Solution of nonlinear equations -- 45. Numerical methods for ordinary differential equations -- 46. Numerical methods for partial differential equations -- 47. Iteration methods for linear systems --

pt. B. Tables

section I. Logarithmic, trigonometric, exponential functions

section II. Factorial and gamma function, binomial coefficients

section III. Bessel functions

section IV. Legendre polynomials

section V. Elliptic integrals

section VI. Financial tables

section VII. Probability and statistics

Index of special symbols and notations.