The extensive additions, and the inclusion of a new chapter, has made this classic work by Jeffrey, now joined by co-author Dr. H.H. Dai, an even more essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relationships between functions, and mathematical techniques that range from matrix theory and integrals of commonly occurring functions to vector calculus, ordinary and partial differential equations, special functions, Fourier series, orthogonal polynomials, and Laplace and Fourier transforms. During the preparation of this edition full advantage was taken of the recently updated seventh edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and other important reference works. Suggestions from users of the third edition of the Handbook have resulted in the expansion of many sections, and because of the relevance to boundary value problems for the Laplace equation in the plane, a new chapter on conformal mapping, has been added, complete with an atlas of useful mappings.

All disc-based content for this title is now available on the Web.

- Comprehensive coverage in reference form of the branches of mathematics used in science and engineering

- Organized to make results involving integrals and functions easy to locate

- Results illustrated by worked examples

All disc-based content for this title is now available on the Web.

REVISED CONTENTS LIST FOURTH EDITION

Quick Reference List of Frequently Used Data, Useful Identities, Trigonometric Identities, Hyperbolic Identities, Complex Relationships, Derivatives of Elementary functions, Rules of Differentiation and Integration, Standard Integrals, Standard Series, Geometry

Numerical, Algebraic, and Analytical Results for Series and Calculus

Functions and Identities

Derivatives of Elementary Functions

Indefinite Integrals of Algebraic Functions

Indefinite Integrals of Exponential Functions

Indefinite Integrals of Logarithmic Functions

Indefinite Integrals of Hyperbolic Functions

Indefinite Integrals Involving Inverse Hyperbolic Functions

Indefinite Integrals of Trigonometric Functions

Indefinite Integrals of Inverse Trigonometric Functions

(Chapter 11 has been enlarged) The Gamma, Beta,Pi, and Psi Functions and Incomplete Gamma Functions

Elliptic Integrals and Functions

Probability Integrals and the Error Function

Fresnel Integrals, Sine and Cosine Integrals

Definite Integrals

Different Forms of Fourier Series

Bessel Functions

(Sections 18.2.8, 18.2.9, 18.4.6 and 18.5.7 ? 18.5.10 are New)

Orthogonal Polynomials,(Sections 18.2.8 and 18.2.9 added on Legendre polynomials)

Laplace Transformation

Fourier Transform

Numerical Integration

Solutions of Standard Ordinary Differential Equations

Vector Analysis

Systems of Orthogonal Coordinates

Partial Differential Equations and Special Functions

Qualitative Properties of the Heat and Laplace Equations

Solutions of Elliptic, Parabolic, and Hyperbolic Equations

The z-Transform

Numerical Approximation

(Chapter 30 is a new and fairly large chapter

Conformal Mapping and Boundary Value Problems

Jeffrey, Alan

Dai, Hui Hui