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  • Spiegel, Murray R.
     
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  • Spiegel, Murray R.
     
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  • Mathematics -- Tables.
     
     
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    Mathematical handbook of formulas and tables / Murray R. Spiegel, PhD, Former Professor and Chairman, Mathematics Department, Rensselaer Polytechnic Institute, Hartford Graduate Center, Seymour Lipschutz, PhD, Mathematics Department, Temple University, John Liu, PhD, Mathematics Department, University of Maryland.
    by Spiegel, Murray R.
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    Call #:510 S755m
    Subjects
  • Mathematics
  •  
  • Mathematics -- Tables.
  • Series
  • Schaum's outline series.
  • ISBN: 
    9781260010534 (pbk.)
    Alternate title: 
    Schaum's outlines : Mathematical handbook of formulas and tables
    Edition: 
    5th ed.
    Description: 
    x, 309 p. : ill. ; 28 cm.
    Notes: 
    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 -- section XIII. Turing machines -- 48. Basic definitions, expressions -- 49. Pictures -- 50. Quintuple, turing machine -- 51. Computing with a turing machine -- 52. Examples -- section XIV. Mathematical finance -- 53. Basic probability -- 54. Interest rates -- 55. Arbitrage theorem and options -- 56. Arbitrage theorem -- 57. Black-scholes formula -- 58. The Delta hedging arbitrage strategy.
    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.
    Summary: 
    Contains over 2,400 mathematical formulas and tables, covering topics from elementary to advanced mathematics.
    Other authors: 
    Lipschutz, Seymour
    Liu, John (Professor of mathematics)
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