Geometry: Euclid and Beyond
(Sprache: Englisch)
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more...
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Klappentext zu „Geometry: Euclid and Beyond “
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's "Elements" leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants. Also included are complete proofs, introduction of coordinates, the theory of area, geometrical constructions and finite field extensions, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra. The text is intended for junior-senior level mathematics majors. Robin Hartshorne is a professor of mathematics at the University of California, Berkeley, and is the author of "Foundations of Projective Geometry" (Benjamin, 1967) and "Algebraic Geometry" (Springer, 1977).
Inhaltsverzeichnis zu „Geometry: Euclid and Beyond “
- Euclid's Geometry- Hilbert's Axioms
- Geometry over Fields
- Segment Arithmetic
- Area
- Construction Problems and Field Extensions
- Non-Euclidean Geometry
- Polyhedra.
Autoren-Porträt von Robin Hartshorne
Robin Hartshorne is a professor of mathematics at the University of California, Berkeley and is the author of Foundations of Projective Geometry (Benjamin, 1967) and Algebraic Geometry (Springer, 1977).
Bibliographische Angaben
- Autor: Robin Hartshorne
- 2005, 1st Corrected ed. 2000. Corr. 3rd printing 2005., 528 Seiten, Maße: 18,3 x 26 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387986502
- ISBN-13: 9780387986500
- Erscheinungsdatum: 28.09.2005
Sprache:
Englisch
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