This text examines function theory, including the residue calculus, and is supported by examples and practice exercises. It also includes ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations (original language together with English translation) from their classical works. This book should be suitable for many students making their way into a classical area of mathematics which represents an example of the intimate connection between algebra and analysis. For exam preparation it offers quick access to essential results. Teachers and interested mathematicians in finance, industry and science should also find the book useful.
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R. Remmert and R.B. Burckel
Theory of Complex Functions
"Its accessibility makes it very useful for a first graduate course on complex function theory, especially where there is an opportunity for developing an interest on the part of motivated students in the history of the subject. Historical remarks abound throughout the text. Short biographies of Abel, Cauchy, Eisenstein, Euler, Riemann and Weierstrass are given. There is an extensive bibliography of classical works on complex function theory with comments on some of them. In addition, a list of modern complex function theory texts and books on the history of the subject and of mathematics is given. Throughout the book there are numerous interesting quotations. In brief, the book affords splendid opportunities for a rich treatment of the subject."―MATHEMATICAL REVIEWS
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