
Modern engineering and physical science applications demand a thorough knowledge of applied mathematics, particularly special functions. These typically arise in applications such as communication systems, electro-optics, nonlinear wave propagation, electromagnetic theory, electric circuit theory, and quantum mechanics. This text systematically introduces special functions and explores their properties and applications in engineering and science. Contents - Preface to the Second Edition- Preface to the First Edition- Notation for Special Functions- Infinite Series, Improper Integrals, and Infinite Products- The Gamma Function and Related Functions- Other Functions Defined by Integrals- Legendre Polynomials and Related Functions- Other Orthogonal Polynomials- Bessel Functions- Bessel Functions of Other Kinds- Applications Involving Bessel Functions- The Hypergeometric Function- The Confluent Hypergeometric Functions- Generalized Hypergeometric Functions- Applications Involving Hypergeometric-Type Functions- Bibliography- A List of Special Function Formulas- Selected Answers to Exercises- Index
This text addresses the necessity for engineers and physical scientists to master special functions to solve complex problems in fields ranging from electromagnetic theory to quantum mechanics. Larry C. Andrews, a recognized authority in applied mathematics, provides a systematic framework for understanding these functions. The book utilizes a structured mathematical approach, moving from foundational definitions to advanced applications, ensuring that the reader can apply these tools to real-world engineering scenarios.
What You Will Find
Scope Limits
Experts and educators frequently cite this work as a standard reference for graduate-level engineering students. Readers often note the clarity of the derivations and the practical utility of the included exercise sets for reinforcing complex concepts.
Page Count:
464
Publication Date:
1991-01-01
Publisher:
McGraw-Hill
ISBN-10:
0070018480
ISBN-13:
9780070018488
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