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.
General
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