Concepts of Function Theory
Concepts of Function Theory: Real and Complex Analysis of one Variable
English | 2025 | ISBN: 3662691140 | 282 Pages | PDF EPUB (True) | 27 MB
English | 2025 | ISBN: 3662691140 | 282 Pages | PDF EPUB (True) | 27 MB
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 a seminar.