Complex Numbers in Geometry
eBook - PDF

Complex Numbers in Geometry

  1. 256 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

About this book

Complex Numbers in Geometry focuses on the principles, interrelations, and applications of geometry and algebra. The book first offers information on the types and geometrical interpretation of complex numbers. Topics include interpretation of ordinary complex numbers in the Lobachevskii plane; double numbers as oriented lines of the Lobachevskii plane; dual numbers as oriented lines of a plane; most general complex numbers; and double, hypercomplex, and dual numbers. The text then takes a look at circular transformations and circular geometry, including ordinary circular transformations, axial circular transformations of the Lobachevskii plane, circular transformations of the Lobachevskii plane, axial circular transformations, and ordinary circular transformations. The manuscript is intended for pupils in high schools and students in the mathematics departments of universities and teachers' colleges. The publication is also useful in the work of mathematical societies and teachers of mathematics in junior high and high schools.

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Yes, you can access Complex Numbers in Geometry by I. M. Yaglom, Henry Booker,D. Allan Bromley,Nicholas DeClaris in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Year
2014
Print ISBN
9781483256634
eBook ISBN
9781483266633

Table of contents

  1. Front Cover
  2. Complex Numbers in Geometry
  3. Copyright Page
  4. Table of Contents
  5. Translator's Note
  6. Preface
  7. Chapter I. Three Types of Complex Numbers
  8. Chapter II. Geometrical Interpretation of Complex Numbers
  9. Chapter III. Circular Transformations and Circular Geometry
  10. Appendix: Non-Euclidean Geometries in the Plane and Complex Numbers
  11. Addenda
  12. Index