Pocket Book of Integrals and Mathematical Formulas, Third Edition: (Advances in Applied Mathematics)

Pocket Book of Integrals and Mathematical Formulas, a revision of a very successful pocket book, provides a handy desk-top reference for engineers and scientists seeking essential formulas, concepts, and definitions. Topics range from pre-calculus to vector analysis and from Fourier transforms to statistics. This third edition contains: A new chapter on business and financial mathematics - providing information on progressions, especially geometric progressions, which is the basis for many formulas related to annuities, growth of funds, and interest payments Additional topics in statistics - including sample size calculations for testing differences and proportions Featuring numerical tables of probability distributions, the book also includes Discussions on formula listings and differential equations Fourier series Laplace and z-transforms Vector analysis Orthogonal polynomials Many other handbooks go too far in their attempts, essentially mimicking larger comprehensive texts they try to summarize. The result is a reference less detailed than the full texts and too big to be conveniently portable. Most scientists do not carry them. Through a careful selection of topics and detail, Pocket Book of Integrals and Mathematical Formulas truly meets the needs of engineers and scientists - a convenient, usable supplementary text providing worked examples where most necessary. Its comprehensive information and convenient arrangement of tables makes it an essential and easy to use reference.

Table of Contents:
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