NonEuclidean Geometry
  1. 112 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

About this book

Noneuclidean Geometry focuses on the principles, methodologies, approaches, and importance of noneuclidean geometry in the study of mathematics. The book first offers information on proofs and definitions and Hilbert's system of axioms, including axioms of connection, order, congruence, and continuity and the axiom of parallels. The publication also ponders on lemmas, as well as pencil of circles, inversion, and cross ratio. The text examines the elementary theorems of hyperbolic geometry, particularly noting the value of hyperbolic geometry in noneuclidian geometry, use of the Poincaré model, and numerical principles in proving hyperparallels. The publication also tackles the issue of construction in the Poincaré model, verifying the relations of sides and angles of a plane through trigonometry, and the principles involved in elliptic geometry. The publication is a valuable source of data for mathematicians interested in the principles and applications of noneuclidean geometry.

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Yes, you can access NonEuclidean Geometry by Herbert Meschkowski, D. Allan Bromley,Nicholas Declaris,W. Magnus in PDF and/or ePUB format, as well as other popular books in Mathematics & Arithmetic. We have over one million books available in our catalogue for you to explore.

Information

Year
2014
Print ISBN
9781483256641
eBook ISBN
9781483259215

Table of contents

  1. Front Cover
  2. Noneuclidean Geometry
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. CHAPTER 1. On Proofs and Definitions
  7. CHAPTER 2. Hilbert's System of Axioms
  8. CHAPTER 3. From the History of the Parallel Postulate
  9. CHAPTER 4. Lemmas
  10. CHAPTER 5. The Poincaré Model
  11. CHAPTER 6. Elementary Theorems of Hyperbolic Geometry
  12. CHAPTER 7. Constructions
  13. CHAPTER 8. Trigonometry
  14. CHAPTER 9. Elliptic Geometry
  15. CHAPTER 10. Epilog
  16. References
  17. Subject Index