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The Elements of Non-Euclidean Geometry by D.M.Y. Sommerville




Non-Euclidean Geometry - Table of Contents

  • 1. Historical Development of Non-Euclidean Geometry
  • 2. Principles of Elementary Hyperbolic Geometry
  • 3. Foundations of Elliptic Geometry
  • 4. Fundamentals of Analytical Geometry
  • 5. Representations of Non-Euclidean Geometry in Euclidean Space
  • 6. Space-Curvature and Philosophical Aspects
  • 7. Radical Axes, Homothetic Centres, and Systems of Circles
  • 8. Inversion and Allied Transformations
  • 9. Geometry of The Conic

What You Will Learn in Non-Euclidean Geometry

The Elements of Non-Euclidean Geometry by Duncan M. Y. Sommerville provides a clear and systematic treatment of non-Euclidean spatial structures. Accessing this the elements of non euclidean geometry duncan sommerville pdf enables students, educators, and researchers to master parallel lines, horocycles, spherical geometry, and non-Euclidean trigonometry.

Written by renowned Scottish mathematician D. M. Y. Sommerville, this classic the elements of non euclidean geometry duncan sommerville book bridges foundational Euclidean principles with modern differential and projective geometry, explaining the geometric models of Lobachevsky, Bolyai, and Riemann.

Available as an educational study reference via the elements of non euclidean geometry duncan sommerville pdf download, this landmark text serves as an essential guide for courses in advanced geometry, topology, and the history of mathematics.

Book Details & Specifications

Title: The Elements of Non-Euclidean Geometry by D.M.Y. Sommerville
Publisher: G. Bell & Sons Ltd
Year: 1914
Pages: 301
Type: PDF
Language: English
ISBN-10 #: 1017414920
ISBN-13 #: 978-1017414929
License: Public Domain Work
Amazon: Amazon

About the Author: Duncan MacLaren Young Sommerville

The author Duncan MacLaren Young Sommerville was a Scottish mathematician and astronomer. He was well knwon for his work on Non-Euclidean Geometry. He taught math in Scotland and New Zealand. He wrote important books to help students understand new ideas in geometry. He also liked painting and helped start the New Zealand Astronomical Society. He was honored for his work and joined the Royal Society of Edinburgh.


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