Franklin, Phillip
Functions of a Complex Variable: A First Course
- ISBN 13:
- 9781986851725
- author:
- Franklin, Phillip
- format:
- Paperback
- publisher:
- Createspace Independent Publishing Platform
- language:
- English
- Publication Year:
- 2018
- Pages:
- 272
- Dimensions:
- 28 x 21.6 x 1.5 centimetres (0.6
- Genre:
- Complex Analysis Mathematics Textbook
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
This comprehensive introduction to functions of one complex variable provides a balanced first course in analytic function theory. Phillip Franklin's approach combines both geometric and analytic aspects, highlighting their connections.
The book covers the algebra and topology of the complex plane, followed by an exploration of functions of one complex variable, including calculus, geometry, and analysis applications such as solving the Laplace equation. It also delves into power series approximations, elementary functions, and conformal mappings.
Further topics include integration in the complex plane, the Cauchy-Goursat theorem, and its significance in path integrals in C. This textbook offers a unique perspective on complex analysis, making it an ideal resource for students, teachers, and self-study enthusiasts of mathematics.
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