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CITATION

Lipschutz, Seymour; Spiegel, Murray; and Liu, John. Schaum's Outline of Mathematical Handbook of Formulas and Tables, 4th Edition. US: McGraw-Hill, 2012.

Schaum's Outline of Mathematical Handbook of Formulas and Tables, 4th Edition

Authors: Seymour Lipschutz, Murray Spiegel and John Liu

Published:  November 2012

eISBN: 9780071795388 0071795383 | ISBN: 9780071795371
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  • Cover
  • Title Page
  • Copyright Page
  • Contents
  • Part 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
  • Part B: Tables
  • Section I: Logarithmic, Trigonometric, Exponential Functions
  • 1. Four Place Common Logarithms log[sub(10)] N or log N
  • 2. Sin x (x in degrees and minutes)
  • 3. Cos x (x in degrees and minutes)
  • 4. Tan x (x in degrees and minutes)
  • 5. Conversion of Radians to Degrees, Minutes, and Seconds or Fractions of Degrees
  • 6. Conversion of Degrees, Minutes, and Seconds to Radians
  • 7. Natural or Napierian Logarithms log[sub(e)] x or ln x
  • 8. Exponential Functions e[sup(x)]
  • 9. Exponential Functions e[sup(-x)]
  • 10. Exponential, Sine, and Cosine Integrals
  • Section II: Factorial and Gamma Function, Binomial Coefficients
  • 11. Factorial n
  • 12. Gamma Function
  • 13. Binomial coefficients
  • Section III: Bessel Functions
  • 14. Bessel Functions J[sub(0)](x)
  • 15. Bessel Functions J[sub(1)](x)
  • 16. Bessel Functions Y[sub(0)](x)
  • 17. Bessel Functions Y[sub(1)](x)
  • 18. Bessel Functions I[sub(0)](x)
  • 19. Bessel Functions I[sub(1)](x)
  • 20. Bessel Functions K[sub(0)](x)
  • 21. Bessel Functions K[sub(1)](x)
  • 22. Bessel Functions Ber(x)
  • 23. Bessel Functions Bei(x)
  • 24. Bessel Functions Ker(x)
  • 25. Bessel Functions Kei(x)
  • 26. Values for Approximate Zeros of Bessel Functions
  • Section IV: Legendre Polynomials
  • 27. Legendre Polynomials P[sub(n)](x)
  • 28. Legendre Polynomials P[sub(n)] (cos θ)
  • Section V: Elliptic Integrals
  • 29. Complete Elliptic Integrals of First and Second Kinds
  • 30. Incomplete Elliptic Integral of the First Kind
  • 31. Incomplete Elliptic Integral of the Second Kind
  • Section VI: Financial Tables
  • 32. Compound amount: (1 + r)[sup(n)]
  • 33. Present Value of an Amount: (1 + r)[sup(-n)]
  • 34. Amount of an Annuity: (omitted)
  • 35. Present Value of an Annuity: (omitted)
  • Section VII: Probability and Statistics
  • 36. Areas Under the Standard Normal Curve
  • 37. Ordinates of the Standard Normal curve
  • 38. Percentile Values (t[sub(p)]) for Student's t Distribution
  • 39. Percentile Values (x[sup(2)][sub(p)]) for x[sup(2)] (Chi-Square) Distribution
  • 40. 95th Percentile Values for the F distribution
  • 41. 99th Percentile Values for the F distribution
  • 42. Random Numbers
  • Index of Special Symbols and Notations
  • Index