The Concept of a Riemann Surface (Dover Books on Mathema 1.4tics)

Book Details

• Author: Hermann Weyl

• Brand: Dover

• Edition: 3

• Binding: Paperback

• Number of Pages: 208

• Release Date: 26-06-2009

• ISBN: 9780486470047

• Package Dimensions: 8.3 x 5.5 x 0.4 inches

• Languages: English

About The Book

Hermann Weyl’s General History of Functions is a profound work that explores the intricate relationships between function theory and geometry, written by one of the twentieth century’s most distinguished mathematicians. Having collaborated with Einstein at Princeton, Weyl forged a path that blended two major fields, shaping the foundation of modern analysis, geometry, and topology.

This landmark text is not just a treatise on Riemann's theory of algebraic functions and their integrals, but a highly rigorous exploration of related ideas and theorems. Weyl’s work, divided into two parts, first defines the concept and topology of Riemann surfaces, before diving into their functions. Riemann surfaces, as visual aids for analytic functions, are shown to be indispensable to the theory, offering not just visualizations but deep theoretical insights that have impacted both mathematics and physics.

Weyl’s General History of Functions is essential for anyone interested in the intersections of algebra, geometry, and analysis, providing both historical context and modern mathematical rigor. The third edition, complete with illustrations, continues to be an invaluable resource for advanced students and researchers in the fields of mathematics and theoretical physics.