ENGLISH

Euclidean and Non-Euclidean Geometries: Development and History

By Marvin J. Greenberg

Book information

Publisher
W.H. Freeman
Year
2008
ISBN
9780716799481
Language
english
Format
PDF
Filesize
31 MB (32414786 bytes)
Edition
4th
Pages
665\665
Time added
2014-07-13 15:37:06

Description

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.

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