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Schaum's Mathematical Handbook of Formulas and Tables

by: Liu, John M.

ISBN: 9780070382039 | 0070382034

Edition: 2nd
Format: Paperback
Publisher: McGraw-Hill
Pub. Date: 10/31/1998

Newer Edition Available

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Summary Table of Contents

This outline supplies a collection of mathematical formulas and numerical tables used by students of mathematics, physics, engineering, and other sciences. The book covers elementary concepts in algebra, geometry, etc. and more advanced concepts in differential equations and vector analysis. This revision will eliminate unnecessary tables (which provide values that are easily obtained on graphing calculators) and will provide important formulas in Numerical Analysis, a required course for juniors and seniors majoring in mathematics.

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Schaum's Mathematical Handbook of Formulas and Tables

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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.

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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