By Gareth A. Jones
Elliptic features and Riemann surfaces performed a tremendous position in nineteenth-century arithmetic. this present day there's a nice revival of curiosity in those subject matters not just for his or her personal sake but in addition as a result of their functions to such a lot of components of mathematical examine from workforce idea and quantity conception to topology and differential equations. during this e-book the authors supply easy debts of many features of classical complicated functionality conception together with Möbius adjustments, elliptic features, Riemann surfaces, Fuchsian teams and modular features. a particular characteristic in their presentation is the best way they've got integrated into the textual content many fascinating subject matters from different branches of arithmetic. This booklet relies on lectures given to complicated undergraduates and is well-suited as a textbook for a moment direction in complicated functionality conception. pros also will locate it invaluable as an easy creation to a topic that's discovering frequent software all through arithmetic.
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