Functionals of Finite Riemann Surfaces / Dover Books on Mathematics (ePub)
(Sprache: Englisch)
This advanced monograph on finite Riemann surfaces, based on the authors' 194950 lectures at Princeton University, remains a fundamental book for graduate students. The Bulletin of the American Mathematical Society hailed the self-contained treatment as...
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This advanced monograph on finite Riemann surfaces, based on the authors' 194950 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.
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.
Autoren-Porträt von Menahem Schiffer, Donald C. Spencer
Menahem Schiffer and Donald C. Spencer
Bibliographische Angaben
- Autoren: Menahem Schiffer , Donald C. Spencer
- 2014, 464 Seiten, Englisch
- Verlag: Dover Publications
- ISBN-10: 0486795438
- ISBN-13: 9780486795430
- Erscheinungsdatum: 01.06.2014
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Dateiformat: ePub
- Größe: 32 MB
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Sprache:
Englisch
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