The Handbook of Integration

In performing mathematical analysis, analytic evaluation of integrals is often required. Other times, an approximate integration may be more informative than a representation of the exact answer. (The exact representation could, for example, be in the form of an infinite series.) Lastly, a numerical approximation to an integral may be all that is required in some applications. This book is therefore divided into five sections: • Applications of Integration which shows how integration is used in differential equations, geometry, probability and performing summations; • Concepts and Definitions which defines several different types of integrals and operations on them; • Exact Techniques which indicates several ways in which integrals may be evaluated exactly; • Approximate Techniques which indicates several ways in which integrals may be evaluated approximately; and • Numerical Techniques which indicates several ways in which integrals may be evaluated numerically. This handbook has been designed as a reference book. Many of the techniques in this book are standard in an advanced course in mathematical methods. Each technique is accompanied by several current references. This book is a compilation of the most important and widely applicable methods for evaluating and approximating integrals. It is an indispensable time saver for engineers and scientists needing to evaluate integrals in their work. From the table of contents: - Applications of Integration - Concepts and Definitions - Exact Analytical Methods - Approximate Analytical Methods - Numerical Methods: Concepts - Numerical Methods: Techniques This book is a compilation of the most important and widely applicable methods for evaluating and approximating integrals. As a reference book, it provides convenient access to these methods and contains examples showing their use. Daniel Zwillinger. Includes Bibliographical References And Index.