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by Donald Clayton Spencer,Menahem Schiffer

Author: Donald Clayton Spencer,Menahem Schiffer
Subcategory: Mathematics
Language: English
Publisher: Princeton University Press (October 21, 1954)
Pages: 462 pages
Category: Math and Science
Rating: 4.5
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Menahem Schiffer (author), Donald Clayton Spencer (author). Originally published in 1954.

Menahem Schiffer (author), Donald Clayton Spencer (author). 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.

This advanced monograph on finite Riemann surfaces, based on the authors' 1949–50 lectures at Princeton University, remains a fundamental book for graduate students

This advanced monograph on finite Riemann surfaces, based on the authors' 1949–50 lectures at Princeton University, remains a fundamental book for graduate students. The Bulletin of the American Mathematical Society hailed the self-contained treatment as the source of "a plethora of ideas, each interesting in its own right," noting that "the patient reader will be richly rewarded.

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.

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Schiffer, Menahem, Spencer, Donald Clayton. Functionals of Finite Riemann Surfaces. Series:Princeton Legacy Library 2190. Princeton university press.

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Spencer, D. C. (Donald Clayton), 1912-2001: Advanced Calculus (Princeton, NJ et a. Spencer, D. (Donald Clayton), 1912-2001: Functionals of finite Riemann surfaces, (Princeton, . D. Van Nostrand C. c1959), also by H. K. Nickerson and Norman Earl Steenrod (page images at HathiTrust). Princeton University Press, 1954), also by Menahem Schiffer (page images at HathiTrust).

Series: Princeton Legacy Library.

Series: Princeton Legacy Library. Published by: Princeton University Press. The theory of Riemann surfaces is mainly concerned with the study of the functionals on a given surface or on a given class of surfaces, and the dependence of the functionals on the surface itself in the sense of the functional calculus has never been investigated systematically. In this chapter we investigate the way in which the functionals change if the surface is altered.

Schiffer, M. (1955), Functionals of Finite Riemann Surfaces, Princeton University Press. O'Connor, John . Robertson, Edmund . "Donald Clayton Spencer", MacTutor History of Mathematics archive, University of St Andrews. Nickerson, H. Steenrod, N. E. (1959), Advanced Calculus, Princeton, . Donald C. Spencer, 89, Pioneering Mathematician, Dies".

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 editions preserve the original texts of these important books while presenting them in durable paperback and hardcover 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.