Euclidean and Non-Euclidean Geometries
(Sprache: Englisch)
The fourth edition provides students with an overview of both classic and hyperbolic geometries, whilst also placing the work of key mathematicians and philosophers in a historical context. Including coverage on geometric transformations, and augmented by...
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The fourth edition provides students with an overview of both classic and hyperbolic geometries, whilst also placing the work of key mathematicians and philosophers in a historical context. Including coverage on geometric transformations, and augmented by review notes and essay topics, this text is an excellent accompaniment to any geometry course.
Klappentext zu „Euclidean and Non-Euclidean Geometries “
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.
Inhaltsverzeichnis zu „Euclidean and Non-Euclidean Geometries “
From the contents:Euclid's Geometry - Logic and Incidence Geometry - Hilbert's Axioms - Neutral Geometries - History of the Parallel Postulate - The Discovery of Non-Euclidean Geometry - Independence of the Parallel Postulate - Philosophical Implications - Review Exercises - Some Topics for Essays - Index -
Autoren-Porträt von Marvin J. Greenberg
MARVIN JAY GREENBERG, University of California, Santa Cruz, USA.Bibliographische Angaben
- Autor: Marvin J. Greenberg
- 2007, 4. Aufl., 512 Seiten, Maße: 16,4 x 24,6 cm, Gebunden, Englisch
- Verlag: Macmillan Education
- ISBN-10: 0716799480
- ISBN-13: 9780716799481
Sprache:
Englisch
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