Complex Analysis (Cambridge Studies in Advanced Mathematics, Series Number 107) 1st Edition by Kunihiko Kodaira (PDF)

Description

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.

User’s Reviews

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 Book Description An introduction to classical complex analysis, profusely illustrated and written by a master of the subject. About the Author Kunihiko Kodaira (1915–97) worked in many areas including harmonic integrals, algebraic geometry and the classification of compact complex analytic surfaces. He held faculty positions at many universities including the University of Tokyo, Harvard University, Massachusetts, Stanford University, California, and The Johns Hopkins University, and the Institute for Advanced Study in Princeton. He was awarded a Fields medal in 1954 and a Wolf Prize in 1984. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I have started reading this book. It is not an easy read and is probably best suited for those who already know the basics of complex analysis. The author, one of the finest mathematicians of the 20th century, has attempted to present the subject as he understands it. and he understands complex analysis at an incredibly deep level The real treat is trying to work through what Kodaira is attempting. If you succeed, you will understand the subject in a unique and deep way. One example of this is the “elementary” proof of the Dirichlet principle.

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Download Complex Analysis (Cambridge Studies in Advanced Mathematics, Series Number 107) 1st Edition PDF
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