CRC Standard Mathematical Tables and Formulae / Edition 31

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Overview

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.

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 powerHeuristic search techniquesQuadratic fieldsReliabilityRisk analysis and decision rulesA table of solutions to Pell's equationA table of irreducible polynomials in Z2[x]An interpretation of powers of 10A collection of "proofs without words"Representations of groups of small orderCounting principlesTesselations 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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Editorial Reviews

From Barnes & Noble
The Barnes & Noble Review
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. For example, Chapter 1 begins with an analysis of numbers and then combines them into series and products. Chapter 2 covers the different types of algebra studied: elementary, linear, and abstract. Chapter 3 covers traditional discrete topics such as combinatorics, graph theory, coding theory, information theory, operations search, and game theory. Then, Chapter 4 covers all aspects of geometry, from points, lines, planes, and surfaces to polyhedra, coordinate systems, and differential geometry.

Chapter 5 covers calculus material: differentiation, integration, differential and integral equations, and tensor analysis. Chapter 6 contains a sequence of functions -- starting with the trigonometric, exponential, and hyperbolic functions and leading to many of the common functions encountered in applications. Chapter 7 begins with basic probability information and leads to common statistical needs. Then, Chapter 8 explores numerical solutions of linear and nonlinear algebraic systems, numerical algorithms for linear algebra, and numerical solutions of ordinary and partial differential equations. Chapter 9 contains the formulae needed to determine the return on an investment and explains how to determine annuity. Finally, Chapter 10 provides an area for miscellaneous information, including biographies of famous mathematicians.

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

John Vacca, the former computer security official (CSO) for NASA's space station program (Freedom), has written 38 books about advanced storage, computer security, and aerospace technology.

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Product Details

  • ISBN-13: 9781584882916
  • Publisher: Taylor & Francis
  • Publication date: 11/28/2002
  • Series: Discrete Mathematics and Its Applications Series
  • Edition description: Thirty First Edition
  • Edition number: 31
  • Pages: 928
  • Product dimensions: 6.46 (w) x 9.44 (h) x 2.13 (d)

Table of Contents

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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