Introduction to Theory of Analytic Function (Classic Reprint) - Hardcover

James Harkness

9780267975891: Introduction to Theory of Analytic Function (Classic Reprint)

Hardcover

ISBN 10: 0267975899 ISBN 13: 9780267975891

Publisher: Forgotten Books, 2018

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Dive into how complex functions move between planes and surfaces, with clear paths from basic ideas to advanced concepts.

This book reveals the geometry behind exponentials, logarithms, and Riemann surfaces.

Introduction to Theory of Analytic Function offers a focused look at how analytic functions unfold on the plane and on associated surfaces. It blends concrete examples with the ideas that shape modern complex analysis, including the behavior of the exponential and logarithmic functions and their multiple values. The text introduces fundamental regions and the idea of mapping between planes and surfaces, guiding readers toward a deeper grasp of automorphic ideas and branch structures.

See how the exponential and logarithm are connected to power and logarithmic series, with attention to convergence and branches.
Explore how cutting and mapping a plane creates Riemann surfaces and reveals connectivity and sheet structures.
Learn about fundamental regions, groups of substitutions, and their role in understanding multivalued functions.
Build intuition through examples and steps that illustrate complex ideas without relying on outside research.

Ideal for readers studying complex analysis who want a clear, methodical treatment of these foundational topics in one distinguished edition.

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