Complex Analysis (Cambridge Studies in Advanced Mathematics) [Hardcover]

Kunihiko Kodaira (Author)

Book Description

Publication Date: August 15, 2007 | ISBN-10: 0521809371 | ISBN-13: 978-0521809375 | Edition: 1st

This textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easy to understand and careful way. He emphasizes geometrical considerations, and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case and then deduces the basic properties of continuous and differentiable functions. The remainder of the book deals with conformal mappings, analytic continuation, Riemann's mapping theorem, Riemann surfaces and analytic functions on a Riemann surface. The book is profusely illustrated and includes many examples. Problems are collected together at the end of the book. It should be an ideal text for either a first course in complex analysis or more advanced study.

Editorial Reviews

Review

'While most of the material included in the first part could be used in a basic course on complex analysis, the whole book could serve as a text for an advanced course on Riemann surfaces. The book contains many pictures (helping to build geometric intuition) and problems (elementary and advanced). The book could be very helpful for students as well as for experts in the field.' European Mathematical Society Newsletter

Language Notes

Text: English (translation)
Original Language: Japanese --This text refers to an out of print or unavailable edition of this title.

See all Editorial Reviews

Product Details

• Hardcover: 416 pages
• Publisher: Cambridge University Press; 1st edition (August 15, 2007)
• Language: English
• ISBN-10: 0521809371
• ISBN-13: 978-0521809375
• Product Dimensions: 8.9 x 6.3 x 1 inches
• Shipping Weight: 1.5 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #2,509,864 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.