CRC Standard Mathematical Tables and Formulae, 31st Edition

Daniel Zwillinger (Herausgeber)

Buch | Hardcover

928 Seiten

2002 | 31st New edition
Chapman & Hall/CRC (Verlag)
978-1-58488-291-6 (ISBN)

Infos

Features Game theory and voting power, Heuristic search techniques, Quadratic fields, Reliability, and Risk analysis and decision rules. This book also features a table of solutions to Pell's equation, a table of irreducible polynomials in Z2[x], an interpretation of powers of 10, and a collection of 'proofs without words'.

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A perennial bestseller, the 30th edition of CRC Standard Mathematical Tables and Formulae was the first "modern" edition of the handbook - adapted to be useful in the era of personal computers and powerful handheld devices. Now this version will quickly establish itself as the "user-friendly" edition. With a detailed table of contents and an extensive index listing over 6,000 entries, the 31st edition of this hugely successful handbook makes information even easier to locate.

New in the 31st edition:

Game theory and voting power
Heuristic search techniques
Quadratic fields
Reliability
Risk analysis and decision rules
A table of solutions to Pell's equation
A table of irreducible polynomials in Z2[x]
An interpretation of powers of 10
A collection of "proofs without words"
Representations of groups of small order
Counting principles
Tesselations and tilings
…and much more!

An indispensable, up-to-date resource, CRC Standard Mathematical Tables and Formulae, 31st Edition makes it effortless to find the equations, tables, and formulae you need most often.

Inhalt

Analysis
Constants
Special numbers
Series and products
Fourier series
Complex analysis
Interval analysis
Real analysis
Generalized Functions

Algebra
Proofs without words
Elementary algebra
Polynomials
Number theory
Vector algebra
Linear and matrix algebra
Abstract algebra

Discrete Mathematics
Symbolic logic
Set theory
Combinatorics
Graphs
Combinatorial design theory
Communication theory
Difference equations
Discrete Dynamical Systems and Chaos
Game theory
Operations research

Geometry
Coordinate systems in the plane
Plane symmetries or isometries
Other transformations of the plane
Lines
Polygons
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
Surfaces of revolution: the torus
Quadrics
Spherical geometry & trigonometry
Differential geometry
Knots up to eight crossings
Angle conversion

Continuous Mathematics
Differential calculus
Differential forms
Integration
Table of Indefinite Integrals
Table of definite integrals
Ordinary differential equations
Partial differential equations
Eigenvalues
Integral equations
Tensor analysis
Orthogonal coordinate systems
Control theory

Special Functions
Trigonometric or circular functions
Circular functions and planar triangles
Inverse circular functions
Ceiling and floor functions
Exponential function
Logarithmic 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
Hilbert transform
Z-Transform
Tables of transforms

Probability and Statistics
Probability theory
Classic probability problems
Probability distributions
Queuing theory
Markov chains
Random number generation
Control charts and reliability
Risk analysis and decision rules
Statistics
Confidence intervals
Tests of hypotheses
Linear regression
Analysis of variance (ANOVA)
Probability tables
Signal processing

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

Financial Analysis
Financial formulae
Financial tables

Miscellaneous
Units
Interpretations of powers of 10
Calendar computations
AMS classification scheme
Fields medals
Greek alphabet
Computer languages
Professional Mathematical Organizations
Electronic mathematical resources
Biographies of mathematicians

List of references
List of figures
List of notation
Index

Produkt-Details

• Erscheint lt. Verlag: 25.11.2002
• Reihe/Serie: Advances in Applied Mathematics
• Zusatzinfo: 184 Illustrations, black and white
• Sprache: englisch
• Maße: 156 x 235 mm
• Gewicht: 1406 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• ISBN-10: 1-58488-291-3 / 1584882913
• ISBN-13: 978-1-58488-291-6 / 9781584882916
• Zustand: Neuware