Complex Analysis

by Friedrich Haslinger (Author)

In this textbook, an elegant and fresh approach to complex analysis of single and multiple variables is presented. After an introduction of Cauchy's integral theorem and analytic continuation, harmonic functions are discussed in the first part. The second part is concerned with functional analytic methods, such as the Bergman kernel, to tackle the theory of multiple variables

Review
"This is a succinct and fairly demanding book, but it is one that repays serious effort. The first half alone, a well-written and elegant exposition of the single variable theory for mathematically mature readers, is worth the price of admission. In addition, because there are not a lot of recent textbooks that cover the multi-variable theory […], the second half is novel and adds to the value of this book. Professional analysts, or those who aspire to become professional analysts, will want to own this book." MAA Reviews

About the Author
Friedrich Haslinger, University of Vienna, Austria



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