Overview
- Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics
- Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills
- Encludes numerous examples and applications relevant to science and engineering students
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics.
The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate coursein complex variables. The only prerequisite is a basic knowledge of advanced calculus. The presentation is also ideally suited for self-study.
Authors and Affiliations
About the authors
Bibliographic Information
Book Title: Complex Variables with Applications
Authors: S. Ponnusamy, Herb Silverman
DOI: https://doi.org/10.1007/978-0-8176-4513-7
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2006
Hardcover ISBN: 978-0-8176-4457-4Published: 13 September 2006
eBook ISBN: 978-0-8176-4513-7Published: 26 May 2007
Edition Number: 1
Number of Pages: XIV, 514
Topics: Functions of a Complex Variable, Applications of Mathematics, Several Complex Variables and Analytic Spaces, Number Theory, Geometry, Mathematical and Computational Engineering