Complex Variables and the Laplace Transform for Engineers
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Book Details
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Author: Le Page, Wilbur R.
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Publisher: Dover
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Edition: Revised ed.
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Binding: Paperback
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Number of Pages: 512
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Release Date: 23-06-2010
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ISBN: 9780486639260
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Package Dimensions: 8.5 x 5.5 x 1.1 inches
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Languages: English
About The Book
"Complex Variables for Engineers" by Wilbur R. Le Page is a meticulously designed textbook aimed at filling a crucial gap for engineering students, especially those in graduate programs. It serves as an invaluable resource for students who may not have had the opportunity to study complex variable theory during their undergraduate studies, yet need a deep understanding of this essential branch of mathematics for their work in engineering, particularly in electrical engineering.
The text is divided into two key sections: the first part focuses on the fundamental theory of complex variables, beginning with foundational concepts like the Cauchy-Riemann equations and advancing through topics such as conformal mapping, complex integration, and infinite series. The author places special emphasis on multivalued functions, branch points, and Riemann surfaces, topics critical for engineers working with advanced mathematical models. The inclusion of numerous diagrams further aids in connecting the theory to practical, real-world applications.
The second part of the book is dedicated to Fourier and Laplace transform theory, both of which play pivotal roles in engineering analysis. After a detailed exploration of real integrals, the text progresses to more advanced topics, including the Fourier and Laplace integrals, convolution integrals, and the Z transform. The application of these transform methods to solve ordinary linear integrodifferential equations with constant coefficients is covered in depth, offering engineers and students a clear understanding of their real-world applications.
Dr. LePage's textbook stands out for its comprehensive coverage, blending theoretical rigor with practical engineering applications. The author’s attention to detail, correct terminology, and step-by-step breakdowns make it an ideal textbook for both formal study and self-study. Each chapter is followed by a series of problems, allowing students to test their understanding, and an excellent bibliography provides further resources for those seeking to delve deeper into the subject.