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Theory of Complex Functions

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 390/5 ( reviews)

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Book Synopsis Theory of Complex Functions by : Reinhold Remmert

Download or read book Theory of Complex Functions written by Reinhold Remmert. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.

Complex Function Theory

2021-02-16 Mathematics
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Release : 2021-02-16
Genre : Mathematics
Kind : eBook
Book Rating : 237/5 ( reviews)

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Book Synopsis Complex Function Theory by : Donald Sarason

Download or read book Complex Function Theory written by Donald Sarason. This book was released on 2021-02-16. Available in PDF, EPUB and Kindle. Book excerpt: Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation. The first edition was published with the title Notes on Complex Function Theory.

Theory of Complex Functions

1991 Mathematics
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Release : 1991
Genre : Mathematics
Kind : eBook
Book Rating : 957/5 ( reviews)

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Book Synopsis Theory of Complex Functions by : Reinhold Remmert

Download or read book Theory of Complex Functions written by Reinhold Remmert. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: Material from function theory up to residue calculus is covered here in a lively and vivid style. Also included is 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. Students making their way into a classical area of mathematics will find Theory of Complex Functions very useful. It includes many examples and practice exercises, and offers quick access to essential results. Teachers and mathematicians will also enjoy reading this book.

Function Theory of One Complex Variable

2006 Mathematics
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Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : 621/5 ( reviews)

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Book Synopsis Function Theory of One Complex Variable by : Robert Everist Greene

Download or read book Function Theory of One Complex Variable written by Robert Everist Greene. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.

Classical Topics in Complex Function Theory

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 561/5 ( reviews)

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Book Synopsis Classical Topics in Complex Function Theory by : Reinhold Remmert

Download or read book Classical Topics in Complex Function Theory written by Reinhold Remmert. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience function theory personally and to participate in the work of the creative mathematician. The author includes numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. In addition to standard topics, readers will find Eisenstein's proof of Euler's product formula for the sine function; Wielandts uniqueness theorem for the gamma function; Stirlings formula; Isssas theorem; Besses proof that all domains in C are domains of holomorphy; Wedderburns lemma and the ideal theory of rings of holomorphic functions; Estermanns proofs of the overconvergence theorem and Blochs theorem; a holomorphic imbedding of the unit disc in C3; and Gausss expert opinion on Riemanns dissertation. Remmert elegantly presents the material in short clear sections, with compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, combine to make an invaluable source for students and teachers alike

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