Introduction to Complex Variables and Applications
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Book Overview
The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. Based on the authors' extensive teaching experience, it covers topics of keen interest to these students, including ordinary differential equations, as well as Fourier and Laplace transform methods for solving partial differential equations arising in physical applications. Many worked examples, applications, and exercises are included. With this foundation, students can progress beyond the standard course and explore a range of additional topics, including generalized Cauchy theorem, Painlev equations, computational methods, and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can be included in the syllabus or form the basis for challenging student projects.
Format:Paperback
Language:English
ISBN:1108959725
ISBN13:9781108959728
Release Date:May 2021
Publisher:Cambridge University Press
Length:420 Pages
Weight:1.60 lbs.
Dimensions:0.9" x 7.7" x 9.5"
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