By Gareth A. Jones

Elliptic features and Riemann surfaces performed a massive position in nineteenth-century arithmetic. this day there's a nice revival of curiosity in those themes not just for his or her personal sake but additionally as a result of their functions to such a lot of components of mathematical examine from team idea and quantity idea to topology and differential equations. during this ebook the authors supply user-friendly bills of many facets of classical complicated functionality idea together with Möbius ameliorations, elliptic services, Riemann surfaces, Fuchsian teams and modular capabilities. a particular function in their presentation is the way they've got integrated into the textual content many fascinating themes from different branches of arithmetic. This e-book relies on lectures given to complicated undergraduates and is well-suited as a textbook for a moment path in complicated functionality concept. pros also will locate it necessary as an easy advent to a subject matter that is discovering frequent software all through arithmetic.

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