An edition of Complex analysis 2
(2011)
Complex analysis 2
Riemann surfaces, several complex variables, abelian functions, higher modular functions
by E. Freitag
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The book provides a complete presentation of complex analysis, starting with the theory of Riemann surfaces, including uniformization theory and a detailed treatment of the theory of compact Riemann surfaces, the Riemann-Roch theorem, Abel's theorem and Jacobi's inversion theorem. This motivates a short introduction into the theory of several complex variables, followed by the theory of Abelian functions up to the theta theorem. The last part of the book provides an introduction into the theory of higher modular functions.
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| Edition | Availability |
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1
Complex analysis 2: Riemann surfaces, several complex variables, abelian functions, higher modular functions
2011, Springer
in English
3642205534 9783642205538
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Book Details
Table of Contents
Ch. I. Riemann surfaces
Ch. II. Harmonic functions on Riemann surfaces
Ch. III. Uniformization
Ch. IV. Compact Riemann surfaces
Ch. V. Analytic functions of several complex variables
Ch. VI. Abelian functions
Ch. VII. Modular forms of several variables
Ch. VIII. Appendix: algebraic tools.
Edition Notes
Includes bibliographical references (p. 494-498) and index.
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| August 27, 2024 | Edited by MARC Bot | import existing book |
| June 29, 2019 | Edited by MARC Bot | import existing book |
| February 8, 2012 | Created by LC Bot | import new book |