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基本説明
Gives an extensive description of the classical complex analysis, here “classical’’ means roughly that sheaf theoretical and cohomological methods are omitted. More than 400 exercises including hints for solutions and many figures.
Full Description
All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included
Contents
Differential Calculus in the Complex Plane C.- Integral Calculus in the Complex Plane C.- Sequences and Series of Analytic Functions, the Residue Theorem.- Construction of Analytic Functions.- Elliptic Functions.- Elliptic Modular Forms.- Analytic Number Theory.- Solutions to the Exercises.