An investigation of finite Riemann surfaces from the point of view of functional analysis, that is, the study of the various Abelian differentials of the surface in their dependence on the surface itself. Many new results are presented. Originally published in 1954. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
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Menahem Max Schiffer (1911–97) taught at the Hebrew University of Jerusalem, Harvard, and Princeton before joining the faculty at Stanford University, where he was Chairman of the Mathematics Department from 1954 to 1959 and the Robert Grimmett Professor of Mathematics. His previous Dover title is Kernel Functions and Elliptic Differential Equations in Mathematics and Physics. Donald Clayton Spencer (1921–2001) ranks among the most prominent American mathematicians of his generation. He taught at Princeton and Stanford and collaborated with Kunihiko Kodaira on the modern theory of deformation of complex structures. He is co-author of Dover's Advanced Calculus.
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