Functionals of Finite Riemann Surfaces

Functionals of Finite Riemann Surfaces

By: Menahem Schiffer, Donald C. Spencer

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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."
Suitable for graduate-level courses, the text begins with three chapters that offer a development of the classical theory along historical lines, examining geometrical and physical considerations, existence theorems for finite Riemann surfaces, and relations between differentials. Subsequent chapters explore bilinear differentials, surfaces imbedded in a given surface, integral operators, and variations of surfaces and of their functionals. The book concludes with a look at applications of the variational method and remarks on generalization to higher dimensional Kahler manifolds.

Reprint of the Princeton University Press, Princeton, New Jersey, 1954 edition.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486780465
ISBN 139780486780467
Author/EditorMenahem Schiffer, Donald C. Spencer
Page Count464
Dimensions6.14 x 9.21

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