Title: An Introduction to Complex Analysis and Geometry (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 12)
Publisher: American Mathematical Society
Publication Date: 2010
Language: English
ISBN 10: 0821852744
ISBN 13: 9780821852743
Binding: Hardcover
Condition: New

About this title

Synopsis

An Introduction to Complex Analysis and Geometry provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The book developed from courses given in the Campus Honors Program at the University of Illinois Urbana-Champaign. These courses aimed to share with students the way many mathematics and physics problems magically simplify when viewed from the perspective of complex analysis. The book begins at an elementary level but also contains advanced material.The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 through 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study.The 280 exercises range from simple computations to difficult problems. Their variety makes the book especially attractive.A reader of the first four chapters will be able to apply complex numbers in many elementary contexts. A reader of the full book will know basic one complex variable theory and will have seen it integrated into mathematics as a whole. Research mathematicians will discover several novel perspectives.

About the Author

John P. D’Angelo, University of Illinois, Urbana, IL, USA

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