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Cover: 9780521313667 | Complex Functions | An Algebraic and Geometric Viewpoint | Taschenbuch
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Complex Functions
An Algebraic and Geometric Viewpoint
Taschenbuch von Gareth A. Jones (u. a.)
Sprache: Englisch

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Beschreibung
Elliptic functions and Riemann surfaces played an important role in nineteenth-century mathematics. At the present time there is a great revival of interest in these topics not only for their own sake but also because of their applications to so many areas of mathematical research from group theory and number theory to topology and differential equations. In this book the authors give elementary accounts of many aspects of classical complex function theory including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. A distinctive feature of their presentation is the way in which they have incorporated into the text many interesting topics from other branches of mathematics. This book is based on lectures given to advanced undergraduates and is well-suited as a textbook for a second course in complex function theory. Professionals will also find it valuable as a straightforward introduction to a subject which is finding widespread application throughout mathematics.
Elliptic functions and Riemann surfaces played an important role in nineteenth-century mathematics. At the present time there is a great revival of interest in these topics not only for their own sake but also because of their applications to so many areas of mathematical research from group theory and number theory to topology and differential equations. In this book the authors give elementary accounts of many aspects of classical complex function theory including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. A distinctive feature of their presentation is the way in which they have incorporated into the text many interesting topics from other branches of mathematics. This book is based on lectures given to advanced undergraduates and is well-suited as a textbook for a second course in complex function theory. Professionals will also find it valuable as a straightforward introduction to a subject which is finding widespread application throughout mathematics.
Inhaltsverzeichnis
Introduction; 1. The Riemann sphere; 2. Möbius transformations; 3. Elliptic functions; 4. Meromorphic continuation and Riemann surfaces; 5. PSL(2,R) and its discrete subgroups; 6. The modular group; Appendices; References; Index of symbols; Index of names and definitions.
Details
Erscheinungsjahr: 1987
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780521313667
ISBN-10: 052131366X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Jones, Gareth A.
Gareth a., Jones
David, Singerman
Hersteller: Cambridge University Press
Maße: 229 x 152 x 22 mm
Von/Mit: Gareth A. Jones (u. a.)
Erscheinungsdatum: 01.03.1987
Gewicht: 0,584 kg
Artikel-ID: 101151714
Inhaltsverzeichnis
Introduction; 1. The Riemann sphere; 2. Möbius transformations; 3. Elliptic functions; 4. Meromorphic continuation and Riemann surfaces; 5. PSL(2,R) and its discrete subgroups; 6. The modular group; Appendices; References; Index of symbols; Index of names and definitions.
Details
Erscheinungsjahr: 1987
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780521313667
ISBN-10: 052131366X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Jones, Gareth A.
Gareth a., Jones
David, Singerman
Hersteller: Cambridge University Press
Maße: 229 x 152 x 22 mm
Von/Mit: Gareth A. Jones (u. a.)
Erscheinungsdatum: 01.03.1987
Gewicht: 0,584 kg
Artikel-ID: 101151714
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