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Introduction To The Geometry Of Complex Numbers Dover Books On Mathematics



This text is geared towards readers unfamiliar with complex numbers, and explains how to solve problems that frequently arise in the applied sciences, especially electrical studies. It starts 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... more details
Key Features:
  • Provides an in-depth survey of elements of analytic geometry, including geometric representations of complex numbers, analysis of geometric properties, and circular transformations
  • Includes references to algebra, to the classical notions of analytic geometry, to modern plane geometry, and to results furnished by kinematics
  • Numerous exercises are included throughout the text


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Description
This text is geared towards readers unfamiliar with complex numbers, and explains how to solve problems that frequently arise in the applied sciences, especially electrical studies. It starts 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.

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.
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