Concepts of Function Theory (eBook, PDF)
Jürgen Müller
eBook, PDF

Concepts of Function Theory (eBook, PDF)

Real and Complex Analysis of one Variable

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This textbook presents a direct path from real analysis of one variable to function theory. Classical topics of one-dimensional real analysis, such as differential and integral calculus, are largely presented from a complex perspective. The goal is a self-contained exposition extending to the Runge theorems and the dynamics of entire functions. Short sections appended to each chapter on concepts of function theory provide glimpses into higher-dimensional analysis and an impression of its universal significance for mathematics. The book is structured so that parts can also serve as a basis for ...

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