Book Titles Integral Evaluations using the Gamma and Beta Functions and Elliptic Integrals in Engineering



Softcover
     Integral Evaluations Using the Gamma and Beta Functions and Elliptic Integrals in Engineering: A Self-Study Approach
C.C. Maican, P. Eng. Ontario
ISBN: 1-57146-158-2
Year Published: 2005
Pages: 315 pages
Binding: Softcover
Price: $50.00

Description:

For the evaluation of many integrals, the Euler's gamma and beta functions and the complete elliptic integrals are among the most useful functions in engineering, physics and probability. The gamma and beta functions are also used for the generalization of many integrals and in the definition of other special functions, such as the Bessel, Legendre, and hypergeometric functions.

This book illustrates how the properties of these functions may be used for integral evaluation. In addition, it demonstrates how these functions may be used to eliminate the long and tedious traditional methods of integral evaluation for many integrals.

The methods presented are especially valuable because many integrals cannot be evaluated in terms of the elementary functions, but can be evaluated in terms of the gamma function or in terms of the complete elliptic integrals.

This book can be used as a self-study book, textbook, supplemental textbook or reference book. In a step-by-step format, it shows how to use the gamma and beta functions and complete elliptic integrals to evaluate, easily and with a high degree of accuracy, many integrals used in engineering work.

"This book will fill a gap that has existed for many years in engineering and science fields."
- K.D. Srivastava, University of British Columbia

Contents:

  • View complete Table of Contents as PDF file
    • Foreword
    • Symbols, Notations and Formulas
    • Introduction
    • Chapter 1: THE GAMMA AND BETA FUNCTIONS
    • Chapter 2: APPLICATIONS OF THE GAMMA AND BETA FUNCTIONS
    • Chapter 3: COMPLETE ELLIPTIC INTEGRALS K(k) AND E(k)
    • Chapter 4: APPLICATIONS OF ELLIPTIC INTEGRALS

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