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Schaum's Outline of Mathematical Handbook of Formulas and Tables, Fifth Edition features:
- More than 2,400 formulas and tables
- Clear explanations for all mathematical formulas and procedures
- Formulas and tables for elementary to advanced topics
- A complete index to all topics
- Access to revised Schaums.com website and new app
Author(s): Seymour Lipschutz; Murray R. Spiegel; John Liu
Edition: 5
Publisher: McGraw-Hill Companies
Year: 2017
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 log 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 Distribution
39. Percentile Values (X2p) for X2(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
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
