Mathematical handbook of formulas and tables Book

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.

InfiniteProducts.

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.