(eBook PDF) Euclidean and Non-Euclidean Geometries 4th Edition – Digital Ebook – Instant Delivery Download

Product details:

• ISBN-10 ‏ : ‎ 0716799480
• ISBN-13 ‏ : ‎ 978-0716799481
• Author: Marvin Jay Greenberg

This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high school students. The first eight chapters are mostly accessible to any educated reader; the last two chapters and the two appendices contain more advanced material, such as the classification of motions, hyperbolic trigonometry, hyperbolic constructions, classification of Hilbert planes and an introduction to Riemannian geometry.
Table contents:

Chapter 1 Euclid’s Geometry

Chapter 2 Logic and Incidence Geometry

Chapter 3 Hilbert’s Axioms

Chapter 4 Neutral Geometry

Chapter 5 History of the Parallel Postulate

Chapter 6 The Discovery of Non-Euclidean Geometry

Chapter 7 Independence of the Parallel Postulate

Chapter 8 Philosophical Implications, Fruitful Applications

Chapter 9 Geometric Transformations

Chapter 10 Further Results in Real Hyperbolic Geometry

Appendix A
Appendix B
Axioms
Bibliography
Symbols
Name Index
Subject Index

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