A Modern View of Geometry
eBook - ePub

A Modern View of Geometry

  1. 208 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

A Modern View of Geometry

Book details
Table of contents
Citations

About This Book

"On the required reading list for all thoughtful students who wish to see mathematics from the 'higher standpoint.' " — American Mathematical Monthly
Elegant and original, this exposition explores the foundations and development of both Euclidean and non-Euclidean geometry, particularly the postulational geometry of planes. Emphasis is placed upon the coordination of affine and projective planes as well as the basic unity of algebra and geometry.
Geared toward undergraduate and graduate students, the treatment begins with a brief but engaging sketch of the historical background of Euclidean geometry and an elementary summary of set theory and propositional calculus. Subsequent chapters explore coordinates in an affine plane, including those with Desargues and Pappus properties, and coordinatizing projective planes. The final two chapters containdetailed developments of simple sets of postulates for the Euclidean and non-Euclidean planes.

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Yes, you can access A Modern View of Geometry by Leonard M. Blumenthal in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Dover Publications
Year
2017
ISBN
9780486821139
Topic
Mathematics
Subtopic
Geometry
Index
Mathematics

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Preface
  5. Contents
  6. Chapter I: Historical Development of the Modern View
  7. Chapter II: Sets and Propositions
  8. Chapter III: Postulational Systems
  9. Chapter IV: Coordinates in an Affine Plane
  10. Chapter V: Coordinates in an Affine Plane with Desargues and Pappus Properties
  11. Chapter VI: Coordinatizing Projective Planes
  12. Chapter VII: Metric Postulates for the Euclidean Plane
  13. Chapter VIII: Postulates for the Non-euclidean Planes
  14. Index