The Concept of a Riemann Surface by Hermann Weyl

The Concept of a Riemann Surface by Hermann Weyl

This classic on the general history of functions was written by one of the twentieth century's 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 Riemann's theory of algebraic functions and their integrals but also to examine the related ideas and theorems with an unprecedented degree of rigor. Weyl's 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.

Hermann Weyl (1885-1955), in addition to making essential contributions to most disciplines of mathematics, was also interested in theoretical physics. Weyl worked with Einstein on relativity theory at the Institute for Advanced Studies, in addition to teaching in Zürich, Göttingen, and Princeton. Hermann Weyl: The Quest for Beautiful Truths Hermann Weyl (1885-1955) was connected with three important institutions throughout his working years: the ETH Zurich (Switzerland Federal Institute of Technology Zurich), the ETH Zurich (Swiss Federal Institute of Technology Zurich), and the ETH Zurich (Swiss Federal Institute of Dover reissued two of Weyl's main books, The Theory of Groups and Quantum Mechanics and Space, Time, Matter, at the last decade of his life (he died in Princeton in 1955). In recent years, two more books, The Continuum and The Idea of a Riemann Surface, have been added to the Dover list. In the Author's Own Words: I tried to merge the truth and the beautiful in my work, but when I had to pick between the two, I typically went with the beautiful.

We don't like it when we're obliged to embrace mathematical truth because of a convoluted chain of formal conclusions and computations that we have to navigate blindly, link by link, by touch. We want to get a sense of the goal and the path first; we want to grasp the concept of proof and the larger context. A modern mathematical proof is similar to a modern machine or a modern test setting in that the basic principles are veiled and practically undetectable beneath a slew of technical details. Space, Time, and Matter by Hermann Weyl has received critical acclaim as a physics classic.

...the first comprehensive treatment of Einstein's theory of relativity. The British Journal of Philosophy and Science is a publication dedicated to the study of philosophy and science in the United Kingdom

SKU	Unavailable
ISBN 13	9780486470047
ISBN 10	0486470040
Title	The Concept of a Riemann Surface
Author	Hermann Weyl
Series	Dover Books On Mathema 14tics
Condition	Unavailable
Binding Type	Paperback
Publisher	Dover Publications Inc.
Year published	2009-06-26
Number of pages	208
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.