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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From the preface of the writer: ". .. i've got divided this paintings into books; within the first of those i've got restricted myself to these issues relating natural research. within the moment ebook i've got defined these factor which has to be identified from geometry, because research is often constructed in this sort of approach that its software to geometry is proven.
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