Schaum's mathematical handbook of formulas and tables

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