Introduction to Complex Analysis in Several Variables

This book provides a comprehensive introduction to complex analysis in several variables, focusing on extension phenomena and referencing other parts of mathematics to broaden the view. It includes examples and exercises for students and instructors.

Format: Paperback / softback
Length: 229 pages
Publication date: 27 April 2023
Publisher: Birkhauser Verlag AG

This comprehensive text delves into the realm of complex analysis, offering a thorough introduction to the subject in multiple variables. While it selectively explores various topics within complex analysis rather than attempting to encompass an extensive range of material, it incorporates references to other branches of mathematics, such as functional analysis or algebras, to enhance the understanding and perspective of the selected topics. A central emphasis lies in the exploration of extension phenomena distinct from the one-dimensional theory, which are encapsulated in renowned theorems such as Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem.

The book is designed with students embarking on their journey into complex analysis and instructors preparing a course in mind. To facilitate this learning process, the text is accompanied by numerous examples and comprehensive exercises. Additionally, this second edition includes helpful hints and suggestions for solving the provided exercises, offering varying levels of support.

By presenting a comprehensive and well-structured introduction to complex analysis, this text serves as an invaluable resource for both novice and advanced scholars seeking to deepen their understanding of this fascinating branch of mathematics.

Weight: 452g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031264276
Edition number: 2nd ed. 2023