# Table of Contents Standard Mathematical Tables and Formulae (30th edition) (by Zwillinger)

## Analysis

1. Constants
2. Special numbers
3. Series and Products
4. Fourier series
5. Complex analysis
6. Real analysis
7. Generalized functions

## Algebra

1. Elementary Algebra
2. Polynomials
3. Number Theory
4. Vector Algebra
5. Linear and Matrix Algebra
6. Abstract algebra

## Discrete mathematics

1. Set theory
2. Combinatorics
3. Graphs
4. Partially ordered sets
5. Combinatorial design theory
6. Inclusion/exclusion
7. Communication theory
8. Costas arrays
9. Difference equations
10. Discrete dynamical systems
11. Operations research

## Geometry

1. Coordinate systems in the plane
2. Plane symmetries or isometries
3. Other transformations of the plane
4. Lines
5. Polygons
6. Circles
7. Conics
8. Special plane curves
9. Coordinate systems in space
10. Space symmetries or isometries
11. Other transformations of space
12. Direction angles and direction cosines
13. Planes
14. Lines
15. Polyhedra
16. Cylinders
17. Cones
18. Spheres
19. Surfaces of revolution: The torus
20. Quadrics
21. Knots up to eight crossings
22. Differential geometry
23. Angle conversion

## Continuous mathematics

1. Differential calculus
2. Differential forms
3. Integration
4. Tables of indefinite Integrals
5. Tables of definite Integrals
6. Ordinary differential equations
7. Partial differential equations
8. Eigenvalues
9. Integral Equations
10. Tensor Analysis
11. Orthogonal coordinate systems
12. Control theory

## Special functions

1. Trigonometric or circular functions
2. Circular functions and planar triangles
3. Inverse circular functions
4. Spherical geometry and trigonometry
5. Exponential Function
6. Logarithmic Functions
7. Hyperbolic functions
8. Inverse hyperbolic functions
9. Gudermannian function
10. Orthogonal Polynomials
11. Gamma Function
12. Beta Function
13. Error functions and Fresnel integrals
14. Sine, cosine, and exponential integrals
15. Polylogarithms
16. Hypergeometric functions
17. Legendre functions
18. Bessel functions
19. Elliptic integrals
20. Clebsch-Gordan coefficients
21. Integral Transforms: Preliminaries
22. Fourier integral transform
23. Discrete Fourier transform (DFT)
24. Fast Fourier transform (FFT)
25. Multidimensional Fourier transforms
26. Laplace Transform
27. Z-Transform
28. Hilbert transform
29. Hankel transform
30. Tables of transforms

## Probability and statistics

1. Probability theory
2. Probability distributions
3. Queuing theory
4. Markov chains
5. Random number generation
6. Control charts
7. Statistics
8. Confidence intervals
9. Tests of hypotheses
10. Linear regression
11. Analysis of variance (ANOVA)
12. Probability tables
13. Signal processing

## Scientific computing

1. Basic numerical analysis
2. Numerical linear algebra
3. Numerical integration and differentiation
4. Programming techniques

## Financial analysis

1. Financial formulae
2. Financial tables
3. Option pricing

## Misellaneous

1. Units
2. Calender computations
3. AMS classification scheme
4. Greek alphabet
5. Professional mathematical organizations
6. Electronic mathematical resources
7. Computer languages
8. Fields medals
9. Biographies of mathematicians
10. ASCII character codes
• List of Notations
• Index