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Pocket Book of Integrals and Mathematical Formulas, Third Edition

Pocket Book of Integrals and Mathematical Formulas, Third Edition by Ronald J. Tallarida
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Elementary Algebra and Geometry
Fundamental Properties (Real Numbers)
Exponents
Fractional Exponents
Irrational Exponents
Logarithms
Factorials
Binomial Theorem
Factors and Expansion
Progressions
Complex Numbers
Polar Form
Permutations
Combinations
Algebraic Equations
Geometry
Determinants, Matrices, and Systems of Equations
Determinants
Evaluation by Cofactors
Properties of Determinants
Matrices
Operations
Properties
Transpose
Identity Matrix
Adjoint
Inverse Matrix
Systems of Linear Equations
Matrix Solution
Trigonometry
Triangles
Trigonometric Functions of an Angle
Trigonometric Identities
Inverse Trigonometric Functions
Analytic Geometry
Rectangular Coordinates
Distance between Two Points; Slope
Equations of Straight Lines
Distance from a Point to a Line
Circle
Parabola
Ellipse
Hyperbola
Changes of Axes
General Equation of Degree Two
Polar Coordinates
Curves and Equations
Series
Bernoulli and Euler Numbers
Series of Functions
Error Function
Differential Calculus
Notation
Slope of a Curve
Angle of Intersection of Two Curves
Radius of Curvature
Relative Maxima and Minima
Points of Inflection of a Curve
Taylor's Formula
Indeterminant Forms
Numerical Methods
Functions of Two Variables
Partial Derivatives
Integral Calculus
Indefinite Integral
Definite Integral
Properties
Common Applications of the Definite Integral
Cylindrical and Spherical Coordinates
Double Integration
Surface Area and Volume by Double Integration
Centroid
Vector Analysis
Vectors
Vector Differentiation
Divergence Theorem
Stokes' Theorem
Planar Motion in Polar Coordinates
Special Functions
Hyperbolic Functions
Gamma Functions
Laplace Transforms
z-transform
Fourier Series
Functions with Period Other than 2¿
Bessel Functions
Legendre Polynomials
Laguerre Polynomials
Hermite Polynomials
Orthogonality
Differential Equations
First Order-First Degree Equations
Second Order Linear Equations (with Constant Coefficients)
Statistics
Arithmetic Mean
Median
Mode
Geometric Mean
Harmonic Mean
Variance
Standard Deviation
Coefficient of Variation
Probability
Binomial Distribution
Mean of Binomially Distributed Variable
Normal Distribution
Poisson Distribution
Empirical Distributions
Estimation
Hypotheses Testing
t-Distribution
Hypotheses Testing with t- and Normal Distributions
Chi-Square Distribution
Least Squares Regression
The F-Distribution (Analysis of Variance)
Summary of Probability Distributions
Financial Mathematics
Table of Derivatives
Table of Integrals
Appendix
A.1: Areas under the Standard Normal Curve
A.2: Poisson Distribution
A.3: t-Distribution
A.4: Chi-Square Distribution
A.5: Variance Ratio
Index
CRC Press; July 1999
290 pages; ISBN 9781420063998
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Title: Pocket Book of Integrals and Mathematical Formulas, Third Edition
Author: Ronald J. Tallarida
 
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