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.
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... This 31st edition (published in 2003) is a big improvement over my 27th edition, in selection of material, in organization, and in appearance. The index is very thorough, and I was able to find the answers to my test questions almost immediately through the index. ... this book has an edge over the web in a couple of areas. One is statistics: unlike math, statistics does not a large presence on the web, and it’s hard to find answers to statistical methods questions there. The present book has 100 pages of useful statistical methods. The other area is for browsing for a useful result. When working on a math problem, it’s often valuable to look through handbooks for results or formulas that resemble the result you need and that you may be able to adapt to your needs. It’s very hard to do a web search for this purpose.
―Allen Stenger, MAA Reviews, May 2010
The 31st edition of the CRC Standard Mathematical Tables and Formulae is, without a doubt, the new and improved bible of mathematics. It is an outstanding reference book, containing more than 30 new sections, covering more than 3,000 items, and including tables, properties, etc. The index has been revamped to make it faster and easier to find results. Author Daniel Zwillinger has done an excellent job keeping the same successful format that has characterized earlier editions of the handbook. It won’t teach you math, but if you use math for any project, you will find what you need to know here. ... Mathematicians will find this handbook indispensable―an absolute must-have desk reference. The ready access of tables that may be needed in mathematical endeavors will make life much easier for engineers, scientists, mathematicians, or even for those who are in the process of studying these and related subjects.
―John Vacca, former computer security official for NASA’s space station program (Freedom), The Barnes & Noble Review
An excellent reference resource for all readership levels, this guide offers easy navigation through a browseable table of contents and an extensive index. It follows a natural progression for those studying the subject. It is logical, useful, and affordable. Summing up: Highly Recommended.
―CHOICE, September 2003
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
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