Description
Book SynopsisIn 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.
Trade Review"...a very nice treatment which emphasizes the unity of mathematics...Several years ago the reviewer wanted to teach an undergraduate course that gave an introduction to hyperbolic geometry, Möbius transformations and discrete groups. There was no suitable undergraduate text. This book fills that void," Mathematical Reviews
"Well motivated with good selection of problems at the end of each chapter." American Mathematical Monthly
"...clear and well written...Its message, admirably conveyed, is that mathematics is not a collection of neat parcels, the contents of one being blind to the contents of another." Times Higher Education Supplement
"...clearly presented...a delightful book..." American Scientist
Table of ContentsIntroduction; 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.
