Download Complex Functions: An Algebraic and Geometric Viewpoint by Gareth A. Jones,David Singerman PDF

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By Gareth A. Jones,David Singerman

Elliptic features and Riemann surfaces performed an enormous position in nineteenth-century arithmetic. today 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 functions to such a lot of parts of mathematical study from workforce thought and quantity concept to topology and differential equations. during this e-book the authors provide common bills of many facets of classical complicated functionality idea together with Möbius alterations, elliptic features, Riemann surfaces, Fuchsian teams and modular services. a particular characteristic in their presentation is the best way they've got integrated into the textual content many fascinating themes 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 idea. pros also will locate it worthy as a simple creation to an issue that's discovering common software all through mathematics.

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Complex Functions: An Algebraic and Geometric Viewpoint by Gareth A. Jones,David Singerman

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