CRC Standard Mathematical Tables and Formulae, 32nd Edition / Edition 32

CRC Standard Mathematical Tables and Formulae, 32nd Edition / Edition 32

by Daniel Zwillinger
     
 

ISBN-10: 1439835489

ISBN-13: 9781439835487

Pub. Date: 07/22/2011

Publisher: Taylor & Francis

With over 6,000 entries, CRC Standard Mathematical Tables and Formulae, 32nd Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and

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Overview

With over 6,000 entries, CRC Standard Mathematical Tables and Formulae, 32nd Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and illustrates how mathematical information is interpreted. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material.

New to the 32nd Edition

  • A new chapter on Mathematical Formulae from the Sciences that contains the most important formulae from a variety of fields, including acoustics, astrophysics, epidemiology, finance, statistical mechanics, and thermodynamics
  • New material on contingency tables, estimators, process capability, runs test, and sample sizes
  • New material on cellular automata, knot theory, music, quaternions, and rational trigonometry
  • Updated and more streamlined tables

Retaining the successful format of previous editions, this comprehensive handbook remains an invaluable reference for professionals and students in mathematical and scientific fields.

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Product Details

ISBN-13:
9781439835487
Publisher:
Taylor & Francis
Publication date:
07/22/2011
Series:
Advances in Applied Mathematics Series, #67
Edition description:
New Edition
Pages:
833
Sales rank:
414,816
Product dimensions:
6.50(w) x 9.30(h) x 1.70(d)

Table of Contents

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

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