
Schaum's Outline of Mathematical Handbook of Formulas and Tables, Fifth Edition
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Content
- Cover
- Title Page
- Copyright Page
- Preface
- 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
- 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
- Part B TABLES
- Section I Logarithmic, Trigonometric, Exponential Functions
- 1. Four Place Common Logarithms log10 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 loge x or ln x
- 8. Exponential Functions ex
- 9. Exponential Functions e-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 J0(x)
- 15. Bessel Functions J1(x)
- 16. Bessel Functions Y0(x)
- 17. Bessel Functions Y1(x)
- 18. Bessel Functions I0(x)
- 19. Bessel Functions I1(x)
- 20. Bessel Functions K0(x)
- 21. Bessel Functions K1(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 Pn(x)
- 28. Legendre Polynomials Pn(cos ?)
- 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)n
- 33. Present Value of an Amount: (1 + r)-n
- 34. Amount of an Annuity
- 35. Present Value of an Annuity
- Section VII Probability and Statistics
- 36. Areas Under the Standard Normal Curve from -8 to x
- 37. Ordinates of the Standard Normal Curve
- 38. Percentile Values (tp) for Student's t Distribution
- 39. Percentile Values () for ?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
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