Complex functions : an algebraic and geometric viewpoint
著者
書誌事項
Complex functions : an algebraic and geometric viewpoint
Cambridge University Press, 1987
- : hardcover
- : pbk
大学図書館所蔵 件 / 全63件
-
: hardcover413.52||J72064032187000837,
: paperback413.52||J72064032188002111 -
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes index
内容説明・目次
内容説明
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 Moebius 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.
目次
- Introduction
- 1. The Riemann sphere
- 2. Moebius 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.
「Nielsen BookData」 より