Lectures Introductory to the Theory of Functions of Two Complex Variables: Delivered to the University of Calcutta, During January and February 1913 (Classic Reprint) - Hardcover

A. R. Forsyth

Hardcover

ISBN 10: 0266278787 ISBN 13: 9780266278788

Publisher: Forgotten Books, 2017

Synopsis

Lectures Introductory to the Theory of Functions of Two Complex Variables presents A.

R. Forsyth’s classic course on the foundations of the subject. Delivered to the University of Calcutta in early 1913, this edition compiles clear, student‑friendly explanations of how two complex variables behave together, from geometric representations to the basics of uniform analytic functions and their singularities. The text emphasizes a practical, analytic approach, showing how two variables interact in a wide range of problems while grounding the theory in classical results and key ideas introduced by Weierstrass, Picard, and others. It is written to help readers grasp the initial principles and general methods that drive the field forward.

• A concise tour of how to visualize and work with two complex variables, beyond the familiar single-variable picture.
• An accessible treatment of lineo-linear transformations, invariants, and the role of homographic substitutions in two variables.
• Introduction to uniform analytic functions, their singularities, and the way these functions behave near ordinary places and poles.
• Foundations for uniform periodic functions of two variables, including the setup for later topics like quadruply periodic and hyperelliptic cases.

Ideal for students of complex analysis and readers seeking a structured, foundational overview of the two‑variable theory, this volume provides a solid gateway to more advanced topics in the field. It balances historical context with practical techniques, helping readers build a robust mental model of how two complex variables interact in analytic functions. Whether used as a primary text or a reference, it offers a clear, approachable entry into a rich area of mathematical analysis.

Ideal for readers seeking a solid, historically grounded introduction to the theory of functions of two complex variables, with an emphasis on core ideas and methods that underpin later developments.

Edition details

• Publisher: Forgotten Books
• Publication date: 2017
• Language: English
• ISBN 10: 0266278787
• ISBN 13: 9780266278788
• Binding: Hardcover
• Number of pages: 603