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The Concept of a Riemann Surface Hermann Weyl

The Concept of a Riemann Surface

Hermann Weyl

Published March 26th 2009
ISBN : 9780486470047
Paperback
208 pages
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 About the Book 

This classic on the general history of functions was written by one of the twentieth centurys best-known mathematicians. Hermann Weyl, who worked with Einstein at Princeton, combined function theory and geometry in this high-level landmark work,MoreThis classic on the general history of functions was written by one of the twentieth centurys best-known mathematicians. Hermann Weyl, who worked with Einstein at Princeton, combined function theory and geometry in this high-level landmark work, forming a new branch of mathematics and the basis of the modern approach to analysis, geometry, and topology.The author intended this book not only to develop the basic ideas of Riemanns theory of algebraic functions and their integrals but also to examine the related ideas and theorems with an unprecedented degree of rigor. Weyls two-part treatment begins by defining the concept and topology of Riemann surfaces and concludes with an exploration of functions of Riemann surfaces. His teachings illustrate the role of Riemann surfaces as not only devices for visualizing the values of analytic functions but also as indispensable components of the theory.