By Gareth A. Jones
Elliptic capabilities and Riemann surfaces performed an immense function in nineteenth-century arithmetic. this present day there's a nice revival of curiosity in those themes not just for his or her personal sake but in addition due to their functions to such a lot of components of mathematical study from crew idea and quantity thought to topology and differential equations. during this e-book the authors supply simple debts of many facets of classical complicated functionality thought together with Möbius alterations, elliptic capabilities, Riemann surfaces, Fuchsian teams and modular capabilities. a particular characteristic in their presentation is the way they've got integrated into the textual content many fascinating subject matters from different branches of arithmetic. This publication relies on lectures given to complex undergraduates and is well-suited as a textbook for a moment direction in complicated functionality concept. pros also will locate it beneficial as a simple creation to an issue that's discovering common software all through arithmetic.
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