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Title:
Mathematical handbook of formulas and tables
Author:
Spiegel, Murray R.
ISBN:
9780071795371
Edition:
Fourth edition.
Publication Information:
New York : McGraw-Hill, [2013]
Physical Description:
x, 293 pages : illustrations ; 28 cm.
Series:
Schaum's outline series
General Note:
Includes index.
Contents:
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.
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