Foundation of Euclidean and Non-Euclidean Geometries according to F. Klein
eBook - PDF

Foundation of Euclidean and Non-Euclidean Geometries according to F. Klein

  1. 410 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Foundation of Euclidean and Non-Euclidean Geometries according to F. Klein

About this book

Foundation of Euclidean and Non-Euclidean Geometries according to F. Klein aims to remedy the deficiency in geometry so that the ideas of F. Klein obtain the place they merit in the literature of mathematics. This book discusses the axioms of betweenness, lattice of linear subspaces, generalization of the notion of space, and coplanar Desargues configurations. The central collineations of the plane, fundamental theorem of projective geometry, and lines perpendicular to a proper plane are also elaborated. This text likewise covers the axioms of motion, basic projective configurations, properties of triangles, and theorem of duality in projective space. Other topics include the point-coordinates in an affine space and consistency of the three geometries. This publication is beneficial to mathematicians and students learning geometry.

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Yes, you can access Foundation of Euclidean and Non-Euclidean Geometries according to F. Klein by L. Redei, I. N. Sneddon,M. Stark in PDF and/or ePUB format, as well as other popular books in Mathématiques & Arithmétique. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2014
Print ISBN
9781483229904

Table of contents

  1. Front Cover
  2. Foundation of Euclidean and Non-Euclidean Geometries According to F. Klein
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. CHAPTER 1. AXIOMS
  7. CHAPTER 2. CONSEQUENCES OF THE SYSTEM OF AXIOMS I
  8. CHAPTER 3. SIMPLE CONSEQUENCES OF THE SYSTEMS OF AXIOMS I, II
  9. CHAPTER 4. PROJECTIVE CLOSURE
  10. CHAPTER 5. INVESTIGATION OF THE PROJECTIVE SPACE
  11. CHAPTER 6. CONSEQUENCES OF THE SYSTEMS OF AXIOMS I, II, III
  12. CHAPTER 7. CONSEQUENCES OF THE SYSTEMS OF AXIOMS I, II, III, IV
  13. Bibliography
  14. Index