Sunday, February 14, 2010

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces


An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces Summary:
Springer | 2007 | ISBN: 3540711740 | 220 pages | PDF | 1,8 MB

This book gives an introduction to modern geometry. Starting from an elementary level the author develops deep geometrical concepts, playingan important role nowadays in contemporary theoretical physics. Hepresents various techniques and viewpoints, thereby showing therelations between the alternative approaches. At the end of eachchapter suggestions for further reading are given to allow the reader to study the touched topics in greater detail. This second edition of the book contains two additional more advanced geometric techniques: (1) The modern languageand modern view of Algebraic Geometry and (2) Mirror Symmetry. The bookgrew out of lecture courses. The presentation style is thereforesimilar to a lecture. Graduate students of theoretical and mathematicalphysics will appreciate this book as textbook. Students of mathematicswho are looking for a short introduction to the various aspects ofmodern geometry and their interplay will also find it useful.Researchers will esteem the book as reliable reference.

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