Theory of Functions of a Complex Variable: Authorized Translation from the Fourth German Edition (Classic Reprint)

Heinrich Friedrich Karl Ludwig Burkhardt

ISBN 10: 1440040362 / ISBN 13: 9781440040368

Published by Forgotten Books, 2009

About this Item

434 pages. 9.00x6.00x0.98 inches. This item is printed on demand.

Seller Inventory # zk1440040362

Bibliographic Details

• Title: Theory of Functions of a Complex Variable: Authorized Translation from the Fourth German Edition (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2009
• Language: English
• ISBN 10: 1440040362
• ISBN 13: 9781440040368
• Binding: Paperback
• Condition: Brand New

About this title

Synopsis

Excerpt from Theory of Functions of a Complex Variable

In the first chapter, I have introduced the algebra of complex num bers as an algebra of number-pairs without giving a general theory of number systems of two (or more) units; I have rather assumed with out discussion the hypotheses characteristic of the theory of ordinary complex numbers. The second chapter contains a detailed geometrical theory of the elementary rational functions of a complex variable and the conformal representations determined by them. The transition from the plane to the sphere by stereographic projection is also considered; it is used at various places in the following chapters. The chapter closes with a discussion of the symmetric invariants of four points as a function of their double ratio; this takes the place of an example (in itself unimportant) of a rational function of a more general character.