CRC Standard Mathematical Tables and Formulae, 32nd Edition

Daniel Zwillinger has more than 25 years of proven technical expertise in numerous areas of engineering and the physical sciences. He earned a Ph.D. in applied mathematics from the California Institute of Technology.

Numbers and Elementary Mathematics
Proofs without words
Constants
Special numbers
Number theory
Series and products





Algebra
Elementary algebra
Polynomials
Vector algebra
Linear and matrix algebra
Abstract algebra





Discrete Mathematics
Set theory
Combinatorics
Graphs
Combinatorial design theory
Difference equations





Geometry
Euclidean geometry
Coordinate systems in the plane
Plane symmetries or isometries
Other transformations of the plane
Lines
Polygons
Surfaces of revolution: the torus
Quadrics
Spherical geometry and trigonometry
Conics
Special plane curves
Coordinate systems in space
Space symmetries or isometries
Other transformations of space
Direction angles and direction cosines
Planes
Lines in space
Polyhedra
Cylinders
Cones
Differential geometry





Analysis
Differential calculus
Differential forms
Integration
Table of indefinite integrals
Table of definite integrals
Ordinary differential equations
Partial differential equations
Integral equations
Tensor analysis
Orthogonal coordinate systems
Interval analysis
Real analysis
Generalized functions
Complex analysis





Special Functions
Ceiling and floor functions
Exponentiation
Logarithmic functions
Exponential function
Trigonometric functions
Circular functions and planar triangles
Tables of trigonometric functions
Angle conversion
Inverse circular functions
Hyperbolic functions
Inverse hyperbolic functions
Gudermannian function
Orthogonal polynomials
Gamma function
Beta function
Error functions
Fresnel integrals
Sine, cosine, and exponential integrals
Polylogarithms
Hypergeometric functions
Legendre functions
Bessel functions
Elliptic integrals
Jacobian elliptic functions
Clebsch–Gordan coefficients
Integral transforms: Preliminaries
Fourier integral transform
Discrete Fourier transform (DFT)
Fast Fourier transform (FFT)
Multidimensional Fourier transforms
Laplace transform
Hankel transform
Hartley transform
Mellin transform
Hilbert transform
Z-Transform
Tables of transforms





Probability and Statistics
Probability theory
Classical probability problems
Probability distributions
Queuing theory
Markov chains
Random number generation
Control charts and reliability
Statistics
Confidence intervals
Tests of hypotheses
Linear regression
Analysis of variance (ANOVA)
Sample size
Contingency tables
Probability tables





Scientific Computing
Basic numerical analysis
Numerical linear algebra
Numerical integration and differentiation





Mathematical Formulae from the Sciences
Acoustics
Astrophysics
Atmospheric physics
Atomic physics
Basic mechanics
Beam dynamics
Classical mechanics
Coordinate systems – Astronomical
Coordinate systems – Terrestrial
Earthquake engineering
Electromagnetic transmission
Electrostatics and magnetism
Electronic circuits
Epidemiology
Finance
Fluid mechanics
Fuzzy logic
Human body
Image processing matrices
Macroeconomics
Modeling physical systems
Optics
Population genetics
Quantum mechanics
Quaternions
Relativistic mechanics
Solid mechanics
Statistical mechanics
Thermodynamics





Miscellaneous
Calendar computations
Cellular automata
Communication theory
Control theory
Computer languages
Cryptography
Discrete dynamical systems and chaos
Electronic resources
Elliptic curves
Financial formulae
Game theory
Knot theory
Lattices
Moments of inertia
Music
Operations research
Recreational mathematics
Risk analysis and decision rules
Signal processing
Symbolic logic
Units
Voting power
Greek alphabet
Braille code
Morse code





List of References


List of Figures


List of Notation


Index