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Sinopsis
The authors' aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.
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Acerca del autor
Rubí E. Rodríguez is a professor of mathematics at Pontificia Universidad Católica de Chile. Irwin Kra is an emeritus distinguished service professor of mathematics at SUNY, Stony Brook. Jane P. Gilman is a professor II of mathematics at Rutgers University.
De la contraportada
<p>This book is intended for a graduate course in complex analysis, where the main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two- and three-manifolds, and number theory. Complex analysis has connections and applications to many other subjects in mathematics and to other sciences. Thus this material will also be of interest to computer scientists, physicists, and engineers.</p><p>The book covers most, if not all, of the material contained in Lipman Bers’s courses on first year complex analysis. In addition, topics of current interest, such as zeros of holomorphic functions and the connection between hyperbolic geometry and complex analysis, are explored.</p><p>In addition to many new exercises, this second edition introduces a variety of new and interesting topics. New features include a section on Bers's theorem on isomorphisms between rings of holomorphic functions on plane domains; necessary and sufficient conditions for the existence of a bounded analytic function on the disc with prescribed zeros; sections on subharmonic functions and Perron's principle; and a section on the ring of holomorphic functions on a plane domain. There are three new appendices: the first is a contribution by Ranjan Roy on the history of complex analysis, the second contains background material on exterior differential calculus, and the third appendix includes an alternate approach to the Cauchy theory.</p>
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Complex Analysis: In the Spirit of Lipman Bers (Graduate Texts in Mathematics, 245, Band 245) [Hardcover] Rodríguez, Rubí E.; Kra, Irwin and Gilman, Jane P.
Librería: SpringBooks, Berlin, Alemania
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Hardcover. Condición: As New. 2. Auflage. from Germany, will be dispatched immediately. Nº de ref. del artículo: CE-2406C-TASCHKENT-04-1000
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Complex Analysis
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Complex Analysis
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Springer New York Nov 2012, 2012
ISBN 10: 1441973222
ISBN 13: 9781441973221
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The authors' aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required. 324 pp. Englisch. Nº de ref. del artículo: 9781441973221
Cantidad disponible: 2 disponibles
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Complex Analysis: In the Spirit of Lipman Bers (Graduate Texts in Mathematics, 245)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Condición: New. In English. Nº de ref. del artículo: ria9781441973221_new
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Complex Analysis : In the Spirit of Lipman Bers
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Springer New York, Springer US, 2012
ISBN 10: 1441973222
ISBN 13: 9781441973221
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Tapa dura
Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is intended for a graduate course in complex analysis, where the main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two- and three-manifolds, and number theory. Complex analysis has connections and applications to many other subjects in mathematics and to other sciences. Thus this material will also be of interest to computer scientists, physicists, and engineers.The book covers most, if not all, of the material contained in Lipman Bers's courses on first year complex analysis. In addition, topics of current interest, such as zeros of holomorphic functions and the connection between hyperbolic geometry and complex analysis, are explored.In addition to many new exercises, this second edition introduces a variety of new and interesting topics. New features include a section on Bers's theorem on isomorphisms between rings of holomorphic functions on plane domains; necessary and sufficient conditions for the existence of a bounded analytic function on the disc with prescribed zeros; sections on subharmonic functions and Perron's principle; and a section on the ring of holomorphic functions on a plane domain. There are three new appendices: the first is a contribution by Ranjan Roy on the history of complex analysis, the second contains background material on exterior differential calculus, and the third appendix includes an alternate approach to the Cauchy theory. Nº de ref. del artículo: 9781441973221
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Complex Analysis Graduate Texts in Mathe
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Complex Analysis Graduate Texts in Mathe
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Complex Analysis: In the Spirit of Lipman Bers
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Springer-Verlag New York Inc., 2012
ISBN 10: 1441973222
ISBN 13: 9781441973221
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Librería: THE SAINT BOOKSTORE, Southport, Reino Unido
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Hardback. Condición: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 643. Nº de ref. del artículo: C9781441973221
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Complex Analysis
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Springer New York, Springer US Nov 2012, 2012
ISBN 10: 1441973222
ISBN 13: 9781441973221
Nuevo
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Neuware -This book is intended for a graduate course in complex analysis, where the main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two- and three-manifolds, and number theory. Complex analysis has connections and applications to many other subjects in mathematics and to other sciences. Thus this material will also be of interest to computer scientists, physicists, and engineers.The book covers most, if not all, of the material contained in Lipman Bers¿s courses on first year complex analysis. In addition, topics of current interest, such as zeros of holomorphic functions and the connection between hyperbolic geometry and complex analysis, are explored.In addition to many new exercises, this second edition introduces a variety of new and interesting topics. New features include a section on Bers's theorem on isomorphisms between rings of holomorphic functions on plane domains; necessary and sufficient conditions for the existence of a bounded analytic function on the disc with prescribed zeros; sections on subharmonic functions and Perron's principle; and a section on the ring of holomorphic functions on a plane domain. There are three new appendices: the first is a contribution by Ranjan Roy on the history of complex analysis, the second contains background material on exterior differential calculus, and the third appendix includes an alternate approach to the Cauchy theory.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 324 pp. Englisch. Nº de ref. del artículo: 9781441973221
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Complex Analysis In the Spirit
Librería: World of Books (was SecondSale), Montgomery, IL, Estados Unidos de America
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Condición: Good. Item in very good condition! Textbooks may not include supplemental items i.e. CDs, access codes etc. Nº de ref. del artículo: 00078211257
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