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2014 Reprint of 1955 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Reprint of the 3rd Edition. Weyl was a German American mathematician who, through his widely varied contributions in mathematics, served as a link between pure mathematics and theoretical physics, in particular adding enormously to quantum mechanics and the theory of relativity. Hermann Weyl (1885-1955) was perhaps the most important and, above all, the most multifaceted of David Hilbert's students. His life's work encompassed such varied disciplines as number theory,...

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...