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

  1. Analysis

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

  2. Algebra

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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. Scientific computing

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

  9. Financial analysis

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

  10. 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