| Titre : | Complex functions : an algebraic and geometric viewpoint | | Type de document : | texte imprimé | | Auteurs : | Gareth A. JONES, Auteur ; David SINGERMAN, Auteur | | Editeur : | Cambridge : Cambridge University Press | | Année de publication : | Cop. 1987 | | Importance : | XIV-342 p. | | ISBN/ISSN/EAN : | 978-0-521-31366-7 | | Langues : | Anglais | | Catégories : | 30-xx
| | Mots-clés : | fonction d'une variable complexe sphère de Riemann transformation de Möbius fonction elliptique surface de Riemann groupe modulaire | | Résumé : | 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 Möbius 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. | | Note de contenu : | index, références |
Complex functions : an algebraic and geometric viewpoint [texte imprimé] / Gareth A. JONES, Auteur ; David SINGERMAN, Auteur . - Cambridge : Cambridge University Press, Cop. 1987 . - XIV-342 p. ISBN : 978-0-521-31366-7 Langues : Anglais | Catégories : | 30-xx
| | Mots-clés : | fonction d'une variable complexe sphère de Riemann transformation de Möbius fonction elliptique surface de Riemann groupe modulaire | | Résumé : | 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 Möbius 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. | | Note de contenu : | index, références |
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Affiner la recherche Interroger des sources externesAnalytic functions Blazejewko 1982 (1983)
Applied functions of a complex variable (Cop. 1972)
Linear and Complex Analysis Problem Book (1984)
