Applied Complex Variable (Dover Books on Mathematics) [Paperback] Dettman, John W.

Book Details:

• Publisher: HarperCollins

• Author: J.W. Dettman

• Language: English

• Binding: Paperback

• Edition: Standard Edition

• ISBN: 0800759646708

• Number of Pages: 512

• Dimensions: 8.5 x 5.5 x 0.6 inches

• Release Date: 20-05-2010

About The Book:

"Advanced Mathematical Methods for Engineers and Scientists" by J.W. Dettman offers a comprehensive approach to advanced mathematical topics with a focus on their application in engineering and scientific problems. The book is split into two parts, each covering crucial mathematical methods with practical relevance.

Part One:

• Complex Number Plane: An introduction to the complex number system, focusing on the complex plane and its functions.

• Functions and Limits: Discusses the foundational concepts of mathematical functions and limits.

• Riemann Surfaces: Explores the theory of Riemann surfaces, which plays a vital role in complex analysis.

• Definite Integral: Covers the properties and techniques of definite integrals.

• Power Series: Detailed discussion of power series and their convergence properties.

• Meromorphic Functions: Focuses on meromorphic functions and their application in various mathematical problems.

Part Two:

• Potential Theory: Introduces the concept of potential theory, which has applications in fields like electrostatics and fluid dynamics.

• Ordinary Differential Equations: Provides a thorough treatment of ordinary differential equations (ODEs) and their solutions.

• Fourier Transforms: An in-depth discussion on Fourier transforms, a crucial tool in signal processing, and analysis of functions.

• Laplace Transforms: Explains the Laplace transform, its properties, and applications in solving differential equations.

• Asymptotic Expansion: Introduces asymptotic methods, which are used to approximate complex mathematical expressions and solutions.

The book includes exercises that help reinforce understanding and provide hands-on experience with the concepts discussed.

Ideal for:

• Engineering and science students seeking a deeper understanding of advanced mathematical techniques.

• Professionals and researchers who need practical applications of mathematical methods in solving real-world problems.

• Anyone looking for a solid foundation in complex mathematical topics such as complex analysis, differential equations, and transforms.

This book serves as a complete guide for mastering the mathematical tools needed for solving complex engineering and scientific problems.