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Complex Analysis

Authors

Donald E. Marshall, University of Washington
Published 2019

Description

This user-friendly textbook introduces complex analysis at the beginning graduate or advanced undergraduate level. Unlike other textbooks, it follows Weierstrass' approach, stressing the importance of power series expansions instead of starting with the Cauchy integral formula, an approach that illuminates many important concepts. This view allows readers to quickly obtain and understand many fundamental results of complex analysis, such as the maximum principle, Liouville's theorem, and Schwarz's lemma. The book covers all the essential material on complex analysis, and includes…

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Key features

  • Includes over 200 exercises, set at varying levels of difficulty to engage and motivate the reader
  • Illustrates analytical functions with color figures to grant a high level of detail and accessibility
  • Provides complete and detailed proofs and ties the subject with several other areas to give readers a comprehensive understanding of complex analysis and its applications

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