Synopses & Reviews
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 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.
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.
Table of Contents
I. Geometric Representation of Complex Numbers1. Fundamental Operations2. Fundamental Transformations3. Anharmonic RatioII. Elements of Analytic Geometry in Complex Numbers1. Generalities2. Straight Line3. The Circle4. The Ellipse5. Cycloidal Curves6. Unicursal Curves7. Conics8. Unicursal Bicircular Quartics and Unicursal Circular CubicsIII. Circular Transformations1. General Properties of the Homography2. The Similitude Group3. Non-similitude Homography4. Möbius Involution5. Permutable Homographies6. Antigraphy7. Product of SymmetriesIndex