Schaum's Outline of Mathematical Handbook of Formulas and Tables

[micromass]

• Author: Seymour Lipschutz, Murray Spiegel, John Liu
• Title: Schaum's Outline of Mathematical Handbook of Formulas and Tables
• Amazon Link: https://www.amazon.com/dp/0071795375/?tag=pfamazon01-20
• Prerequisities: None

Table of Contents:

[LIST]
[*] Formulas
[LIST]
[*] Elementary Constants, Products, Formulas
[LIST]
[*] Greek Alphabet and Special Constants
[*] Special Products and Factors
[*] The Binomial Formula and Binomial Coefficients
[*] Complex Numbers
[*] Solutions of Algebraic Equations
[*] Conversion Factors
[/LIST]
[*] Geometry
[LIST]
[*] Geometric Formulas
[*] Formulas from Plane Analytic Geometry
[*] Special Plane Curves
[*] Formulas from Solid Analytic Geometry
[*] Special Moments of Inertia
[/LIST]
[*] Elementary Transcendental Functions
[LIST]
[*] Trigonometric Functions
[*] Exponential and Logarithmic Functions
[*] Hyperbolic Functions
[/LIST]
[*] Calculus
[LIST]
[*] Derivatives
[*] Indefinite Integrals
[*] Tables of Special Indefinite Integrals
[*] Definite Integrals
[/LIST]
[*] Differential Equations and Vector Analysis
[LIST]
[*] Basic Differential Equations and Solutions
[*] Formulas from Vector Analysis
[/LIST]
[*] Series
[LIST]
[*] Series of Constants
[*] Taylor Series
[*] Bernoulli and Euler Numbers
[*] Fourier Series
[/LIST]
[*] Special Functions and Polynomials
[LIST]
[*] The Gamma Function
[*] The Beta Function
[*] Bessel Functions
[*] Legendre and Associated Legendre Functions
[*] Hermite Polynomials
[*] Laguerre and Associated Laguerre Polynomials
[*] Chebyshev Polynomials
[*] Hypergeometric Functions
[/LIST]
[*] Laplace and Fourier Transforms
[LIST]
[*] Laplace Transforms
[*] Fourier Transforms
[/LIST]
[*] Elliptic and Miscellaneous Special Functions
[LIST]
[*] Elliptic Functions
[*] Miscellaneous and Riemann Zeta Functions
[/LIST]
[*] Inequalities and Infinite Products
[LIST]
[*] 
[*] Infinite Products
[/LIST]
[*] Probability and Statistics
[LIST]
[*] Descriptive Statistics
[*] Probability
[*] Random Variables
[/LIST]
[*] Numerical Methods
[LIST]
[*] Interpolation
[*] Quadrature
[*] Solution of Nonlinear Equations
[*] Numerical Methods for Ordinary Differential Equations
[*] Numerical Methods for Partial Differential Equations
[*] Iteration Methods for Linear Systems
[/LIST]
[/LIST]
[*] Tables
[LIST]
[*] Logarithmic, Trigonometric, Exponential Functions
[LIST]
[*] Four Place Common Logarithms log_{10}N or log N
[*] Sin x (x in degrees and minutes)
[*] Cos x (x in degrees and minutes)
[*] Tan x (x in degrees and minutes)
[*] Conversion of Radians to Degrees, Minutes, and Seconds or Fractions of Degrees
[*] Conversion of Degrees, Minutes, and Seconds to Radians
[*] Natural or Napierian Logarithms log_e x or ln x
[*] Exponential Functions  e^x
[*] Exponential Functions  e^{-x}
[*] Exponential, Sine, and Cosine Integrals
[/LIST]
[*] Factorial and Gamma Function, Binomial Coefficients
[LIST]
[*] Factorial n
[*] Gamma Function
[*] Binomial coefficients
[/LIST]
[*] Bessel Functions
[LIST]
[*] Bessel Functions J_0(x)
[*] Bessel Functions J_1(x)
[*] Bessel Functions Y_0(x)
[*] Bessel Functions Y_1(x)
[*] Bessel Functions I_0(x)
[*] Bessel Functions I_1(x)
[*] Bessel Functions K_0(x)
[*] Bessel Functions K_1(x)
[*] Bessel Functions Ber(x)
[*] Bessel Functions Bei(x)
[*] Bessel Functions Ker(x)
[*] Bessel Functions Kei(x)
[*] Values for Approximate Zeros of Bessel Functions
[/LIST]
[*] Legendre Polynomials
[LIST]
[*] Legendre Polynomials P_n(x)
[*] Legendre Polynomials P_n(cos(theta))
[/LIST]
[*] Elliptic Integrals
[LIST]
[*] Complete Elliptic Integrals of First and Second Kinds
[*] Incomplete Elliptic Integral of the First Kind
[*] Incomplete Elliptic Integral of the Second Kind
[/LIST]
[*] Financial Tables
[LIST]
[*] Compound amount: (1+r)^n
[*] Present Value of an Amount: (1+r)^{-n}
[*] Amount of an Annuity: \frac{(1+r)^n - 1}{r}
[*] Present Value of an Annuity: \frac{1-(1+r)^{-n}}{r}
[/LIST]
[*] Probability and Statistics
[LIST]
[*] Areas Under the Standard Normal Curve 
[*] Ordinates of the Standard Normal curve
[*] Percentile Values (t_p) for Student's t Distribution
[*] Percentile Values (\chi^2_p) for \chi^2 (Chi-Square) Distribution
[*] 95th Percentile Values for the F distribution
[*] 99th Percentile Values for the F distribution
[*] Random Numbers
[/LIST]
[/LIST]
[*] Index of Special Symbols and Notations
[*] Index
[/LIST]

 

[MexChemE]

Good reference. I mostly use it when I need analytical solutions of tricky differential equations.