Topics In Complex Function Theory
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Classical Topics in Complex Function Theory
Author | : Reinhold Remmert |
Publsiher | : Springer Science & Business Media |
Total Pages | : 362 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 9781475729566 |
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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
Topics in Complex Function Theory Volume 3
Author | : Carl Ludwig Siegel |
Publsiher | : John Wiley & Sons |
Total Pages | : 260 |
Release | : 1989-01-18 |
Genre | : Mathematics |
ISBN | : 0471504017 |
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Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.
Topics in Complex Function Theory Volume 3
Author | : Carl Ludwig Siegel |
Publsiher | : John Wiley & Sons |
Total Pages | : 258 |
Release | : 1989-01-18 |
Genre | : Mathematics |
ISBN | : 9780471504016 |
Download Topics in Complex Function Theory Volume 3 Book in PDF, Epub and Kindle
Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.
Topics in Complex Function Theory
![Topics in Complex Function Theory](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 1969 |
Genre | : Functions of complex variables |
ISBN | : OCLC:926037325 |
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Topics in Complex Function Theory Elliptic functions and uniformization theory
Author | : Carl Ludwig Siegel |
Publsiher | : John Wiley & Sons |
Total Pages | : 216 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : UOM:39015015696779 |
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Cover title.
Topics in Complex Function Theory
![Topics in Complex Function Theory](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Carl Ludwig Siegel |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 1969 |
Genre | : Functions of complex variables |
ISBN | : OCLC:872515066 |
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Function Theory of One Complex Variable
Author | : Robert Everist Greene,Steven George Krantz |
Publsiher | : American Mathematical Soc. |
Total Pages | : 536 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 0821839624 |
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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.
Theory of Complex Functions
Author | : Reinhold Remmert |
Publsiher | : Springer Science & Business Media |
Total Pages | : 464 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461209393 |
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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.