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by Murray R. Ed. Spiegel and John M. Ed. Liu

Cover type: PaperbackEdition: 2ND 99

Copyright: 1999

Publisher: McGraw-Hill Publishing Company

Published: 1999

International: No

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Students and research workers in mathematics, physics, engineering and other sciences will find this compilation of more than 2000 mathematical formulas and tables [__include exact number?_____] invaluable. They will see quickly why half a million copies were sold of the first edition! All the information included is practical -- rarely used results are excluded. Topics range from elementary to advanced-from algebra, trigonometry and calculus to vector analysis, Bessel functions, Legendre polynomials and elliptic integrals. Great care has been taken to present all results concisely and clearly. Excellent to keep as a handy reference!

**Speigel, Murray : **

Murray Speigel, Ph.D., was Former Professor and Chairman of the Mathematics Department at Rensselaer Polytechnic Institute, Hartford Graduate Center.

**Section I: Elementary Constants, Products, Formulas.**

Greek Alphabet and Special Constants.

Special Products and Factors.

The Binomial Formula and Binomial Coefficients.

Complex Numbers.

Solutions of Algebraic Equations.

Conversion Factors.

**Section II: Geometry.**

Geometric Formulas.

Formulas from Plane Analytic Geometry.

Special Plane Curves.

Formulas from Solid Analytical Geometry.

Special Moments of Inertia.

**Section III: Elementary Transcendental Functions.**

Trigonometric Functions.

Exponential and Logarithmic Functions.

Hyperbolic Functions.

**Section IV: Calculus.**

Derivatives.

Indefinite Integrals.

Tables of Special Indefinite Integrals.

Definite Integrals.

Section V: Differential Equations and Vector Analysis.

Basic Differential Equations and Solutions.

Formulas from Vector Analysis.

**Section VI: Series.**

Series of Constants.

Taylor Series.

Bernoulli and Euler Numbers.

Fourier Series.

**Section VII: Special Functions and Polynomials.**

The Gamma Function.

The Beta Function.

Bessel Functions.

Legendre and Associated Legendre Functions.

Hermite Polynomials.

Laguerre and Associated Laguerre Polynomials.

Chebyshev Polynomials.

Hypergeometric Functions.

**Section VIII: Laplace and Fourier Transforms.**

Laplace Transforms.

Fourier Transforms.

Section IX: Elliptic and Miscellaneous Special Functions.

Elliptic Functions.

Miscellaneous and Riemann Zeta Functions.

Section X: Inequalities and Infinite Products.

Inequalities.

Infinite Products.

**Section XI: Probability and Statistics.**

Descriptive Statistics.

Random Variables.

Probability Distributions.

**Section XII: Numerical Methods.**

Interpolation.

Quadrature.

Solution of Nonlinear Equations.

Numerical Methods for Ordinary Differential Equations.

Numerical Methods for Partial Differential Equations.

Iteration Methods for Linear Systems.

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Summary

Students and research workers in mathematics, physics, engineering and other sciences will find this compilation of more than 2000 mathematical formulas and tables [__include exact number?_____] invaluable. They will see quickly why half a million copies were sold of the first edition! All the information included is practical -- rarely used results are excluded. Topics range from elementary to advanced-from algebra, trigonometry and calculus to vector analysis, Bessel functions, Legendre polynomials and elliptic integrals. Great care has been taken to present all results concisely and clearly. Excellent to keep as a handy reference!

Author Bio

**Speigel, Murray : **

Murray Speigel, Ph.D., was Former Professor and Chairman of the Mathematics Department at Rensselaer Polytechnic Institute, Hartford Graduate Center.

Table of Contents

**Section I: Elementary Constants, Products, Formulas.**

Greek Alphabet and Special Constants.

Special Products and Factors.

The Binomial Formula and Binomial Coefficients.

Complex Numbers.

Solutions of Algebraic Equations.

Conversion Factors.

**Section II: Geometry.**

Geometric Formulas.

Formulas from Plane Analytic Geometry.

Special Plane Curves.

Formulas from Solid Analytical Geometry.

Special Moments of Inertia.

**Section III: Elementary Transcendental Functions.**

Trigonometric Functions.

Exponential and Logarithmic Functions.

Hyperbolic Functions.

**Section IV: Calculus.**

Derivatives.

Indefinite Integrals.

Tables of Special Indefinite Integrals.

Definite Integrals.

Section V: Differential Equations and Vector Analysis.

Basic Differential Equations and Solutions.

Formulas from Vector Analysis.

**Section VI: Series.**

Series of Constants.

Taylor Series.

Bernoulli and Euler Numbers.

Fourier Series.

**Section VII: Special Functions and Polynomials.**

The Gamma Function.

The Beta Function.

Bessel Functions.

Legendre and Associated Legendre Functions.

Hermite Polynomials.

Laguerre and Associated Laguerre Polynomials.

Chebyshev Polynomials.

Hypergeometric Functions.

**Section VIII: Laplace and Fourier Transforms.**

Laplace Transforms.

Fourier Transforms.

Section IX: Elliptic and Miscellaneous Special Functions.

Elliptic Functions.

Miscellaneous and Riemann Zeta Functions.

Section X: Inequalities and Infinite Products.

Inequalities.

Infinite Products.

**Section XI: Probability and Statistics.**

Descriptive Statistics.

Random Variables.

Probability Distributions.

**Section XII: Numerical Methods.**

Interpolation.

Quadrature.

Solution of Nonlinear Equations.

Numerical Methods for Ordinary Differential Equations.

Numerical Methods for Partial Differential Equations.

Iteration Methods for Linear Systems.

Publisher Info

Publisher: McGraw-Hill Publishing Company

Published: 1999

International: No

Published: 1999

International: No

**Speigel, Murray : **

Murray Speigel, Ph.D., was Former Professor and Chairman of the Mathematics Department at Rensselaer Polytechnic Institute, Hartford Graduate Center.

**Section I: Elementary Constants, Products, Formulas.**

Greek Alphabet and Special Constants.

Special Products and Factors.

The Binomial Formula and Binomial Coefficients.

Complex Numbers.

Solutions of Algebraic Equations.

Conversion Factors.

**Section II: Geometry.**

Geometric Formulas.

Formulas from Plane Analytic Geometry.

Special Plane Curves.

Formulas from Solid Analytical Geometry.

Special Moments of Inertia.

**Section III: Elementary Transcendental Functions.**

Trigonometric Functions.

Exponential and Logarithmic Functions.

Hyperbolic Functions.

**Section IV: Calculus.**

Derivatives.

Indefinite Integrals.

Tables of Special Indefinite Integrals.

Definite Integrals.

Section V: Differential Equations and Vector Analysis.

Basic Differential Equations and Solutions.

Formulas from Vector Analysis.

**Section VI: Series.**

Series of Constants.

Taylor Series.

Bernoulli and Euler Numbers.

Fourier Series.

**Section VII: Special Functions and Polynomials.**

The Gamma Function.

The Beta Function.

Bessel Functions.

Legendre and Associated Legendre Functions.

Hermite Polynomials.

Laguerre and Associated Laguerre Polynomials.

Chebyshev Polynomials.

Hypergeometric Functions.

**Section VIII: Laplace and Fourier Transforms.**

Laplace Transforms.

Fourier Transforms.

Section IX: Elliptic and Miscellaneous Special Functions.

Elliptic Functions.

Miscellaneous and Riemann Zeta Functions.

Section X: Inequalities and Infinite Products.

Inequalities.

Infinite Products.

**Section XI: Probability and Statistics.**

Descriptive Statistics.

Random Variables.

Probability Distributions.

**Section XII: Numerical Methods.**

Interpolation.

Quadrature.

Solution of Nonlinear Equations.

Numerical Methods for Ordinary Differential Equations.

Numerical Methods for Partial Differential Equations.

Iteration Methods for Linear Systems.