Download E-books Complex Functions: An Algebraic and Geometric Viewpoint PDF

By Gareth A. Jones

Elliptic features and Riemann surfaces performed an immense function in nineteenth-century arithmetic. this present day there's a nice revival of curiosity in those issues not just for his or her personal sake but additionally as a result of their purposes to such a lot of components of mathematical examine from workforce thought and quantity thought to topology and differential equations. during this ebook the authors supply straightforward debts of many points of classical advanced functionality thought together with Möbius changes, elliptic features, Riemann surfaces, Fuchsian teams and modular services. a particular function in their presentation is the best way they've got included into the textual content many fascinating subject matters from different branches of arithmetic. This e-book is predicated on lectures given to complex undergraduates and is well-suited as a textbook for a moment path in complicated functionality conception. execs also will locate it priceless as a simple advent to an issue that's discovering common software all through arithmetic.

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