Beardon, Alan
Complex Analysis: The Argument Principle in Analysis and Topology
- ISBN 13:
- 9780486837185
- author:
- Beardon, Alan
- format:
- Paperback / softback
- publisher:
- Dover Publications Inc.
- language:
- English
- Publication Year:
- 2020
- Pages:
- 256
- Dimensions:
- 22.61 x 14.99 x 1.52 centimetres
- Genre:
- Science, Mathematics, Calculus,
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
Complex Analysis: The Argument Principle in Analysis and Topology by Alan F. Beardon offers a unique approach to teaching complex analysis, focusing on the argument principle and its applications in both analysis and topology.
This three-part treatment provides geometrical insights into angles, basic complex analysis, and interactions with plane topology, exploring the concepts of angle and winding numbers. Part I examines the concept of an angle, revealing that a continuously changing value of its argument can be selected due to the continuous variation of a nonzero complex number.
The book is divided into three sections: Part I provides a critical look at angles, Part II builds upon this material using the argument principle as a tool in further studies, and Part III explores the link between analysis and topology. The first two parts are geared towards advanced undergraduates and graduate students, while the final section is intended for complex analysts seeking to deepen their understanding.
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