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Dover Books On Mathematics - A Short Course In Automorphic Functions (Cód: 9350983)

Lehner, Joseph; Lehner, J

Dover Publications-Id

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Descrição

This concise three-part treatment introduces undergraduate and graduate students to the theory of automorphic functions and discontinuous groups. Author Joseph Lehner begins by elaborating on the theory of discontinuous groups by the classical method of Poincare, employing the model of the hyperbolic plane. The necessary hyperbolic geometry is developed in the text. Chapter two develops automorphic functions and forms via the Poincare series. Formulas for divisors of a function and form are proved and their consequences analyzed. The final chapter is devoted to the connection between automorphic function theory and Riemann surface theory, concluding with some applications of Riemann-Roch theorem.The book presupposes only the usual first courses in complex analysis, topology, and algebra. Exercises range from routine verifications to significant theorems. Notes at the end of each chapter describe further results and extensions, and a glossary offers definitions of terms.Dover (2014) republication of the edition originally published by Holt, Rinehart & Winston, New York, 1966.See every Dover book in print atwww.doverpublications.com This concise three-part treatment introduces undergraduate and graduate students to the theory of automorphic functions and discontinuous groups. Author Joseph Lehner begins by elaborating on the theory of discontinuous groups by the classical method of Poincare, employing the model of the hyperbolic plane. The necessary hyperbolic geometry is developed in the text. Chapter two develops automorphic functions and forms via the Poincare series. Formulas for divisors of a function and form are proved and their consequences analyzed. The final chapter is devoted to the connection between automorphic function theory and Riemann surface theory, concluding with some applications of Riemann-Roch theorem.The book presupposes only the usual first courses in complex analysis, topology, and algebra. Exercises range from routine verifications to significant theorems. Notes at the end of each chapter describe further results and extensions, and a glossary offers definitions of terms.

Características

Produto sob encomenda Sim
Marca Dover Publications-Id
Cód. Barras 9780486789743
Altura 22.35 cm
I.S.B.N. 9780486789743
Profundidade 1.02 cm
Referência 031370350
Acabamento Brochura
Ano da edição 2015
Idioma Inglês
Número de Páginas 160
Peso 0.20 Kg
Largura 14.99 cm
AutorLehner, Joseph; Lehner, J

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Dover Books On Mathematics - A Short Course In Automorphic Functions (Cód: 9350983) Dover Books On Mathematics - A Short Course In Aut... (Cód: 9350983)
R$ 55,70
Dover Books On Mathematics - A Short Course In Automorphic Functions (Cód: 9350983) Dover Books On Mathematics - A Short Course In Aut... (Cód: 9350983)
R$ 55,70