Introduction to complex variables and applications /
The study of complex variables is both 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 i...
| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
[2021]
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| Series: | Cambridge texts in applied mathematics.
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| Subjects: |
| Summary: | The study of complex variables is both 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 the generalized Cauchy theorem, Painlevé equations, computational methods and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can either be included in the syllabus or form the basis for challenging student projects. |
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| Physical Description: | viii, 411 pages : illustrations ; 25 cm. |
| Bibliography: | Includes bibliographical references (pages 403-405) and index. |
| ISBN: | 9781108832618 110883261X 9781108959728 1108959725 |