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Introduction to the Geometry of Complex Numbers

by

Introduction to the Geometry of Complex Numbers Cover

 

Synopses & Reviews

Publisher Comments:

Geared toward readers unfamiliar with complex numbers, this text explains how to solve the kinds of problems that frequently arise in the applied sciences, especially electrical studies. To assure an easy and complete understanding, it develops topics from the beginning, with emphasis on constructions related to algebraic operations.

The three-part treatment begins with geometric representations of complex numbers and proceeds to an in-depth survey of elements of analytic geometry. Readers are assured of a variety of perspectives, which include references to algebra, to the classical notions of analytic geometry, to modern plane geometry, and to results furnished by kinematics. The third chapter, on circular transformations, revives in a slightly modified form the essentials of the projective geometry of real binary forms. Numerous exercises appear throughout the text.

Synopsis:

Geared toward readers unfamiliar with complex numbers, this text explains how to solve problems that frequently arise in the applied sciences and emphasizes constructions related to algebraic operations. 1956 edition.

Synopsis:

Geared toward readers unfamiliar with complex numbers, this text explains how to solve the kinds of problems that frequently arise in the applied sciences, especially electrical studies. To assure an easy and complete understanding, topics are developed from the beginning, with emphasis on constructions related to algebraic operations. 1956 edition.

Table of Contents

I. Geometric Representation of Complex Numbers
1. Fundamental Operations
2. Fundamental Transformations
3. Anharmonic Ratio
II. Elements of Analytic Geometry in Complex Numbers
1. Generalities
2. Straight Line
3. The Circle
4. The Ellipse
5. Cycloidal Curves
6. Unicursal Curves
7. Conics
8. Unicursal Bicircular Quartics and Unicursal Circular Cubics
III. Circular Transformations
1. General Properties of the Homography
2. The Similitude Group
3. Non-similitude Homography
4. Möbius Involution
5. Permutable Homographies
6. Antigraphy
7. Product of Symmetries
Index

Product Details

ISBN:
9780486466293
Author:
Deaux, Roland
Publisher:
Dover Publications
Translator:
Eves, Howard
Author:
Eves, Howard
Author:
Mathematics
Subject:
Geometry, projective
Subject:
Numbers, complex
Subject:
Number Theory
Subject:
Geometry - General
Subject:
Mathematics-Geometry and Trigonometry
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20080331
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
208
Dimensions:
8.5 x 5.38 in 0.49 lb

Related Subjects

Humanities » Philosophy » General
Science and Mathematics » Mathematics » Geometry » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Number Theory

Introduction to the Geometry of Complex Numbers New Trade Paper
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$14.95 In Stock
Product details 208 pages Dover Publications - English 9780486466293 Reviews:
"Synopsis" by ,
Geared toward readers unfamiliar with complex numbers, this text explains how to solve problems that frequently arise in the applied sciences and emphasizes constructions related to algebraic operations. 1956 edition.
"Synopsis" by ,
Geared toward readers unfamiliar with complex numbers, this text explains how to solve the kinds of problems that frequently arise in the applied sciences, especially electrical studies. To assure an easy and complete understanding, topics are developed from the beginning, with emphasis on constructions related to algebraic operations. 1956 edition.
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