Robin Hartshorne: Geometry: Euclid and Beyond

Cover: 9781441931450 | Geometry: Euclid and Beyond | Robin Hartshorne | Taschenbuch | xii

Bild: 9781441931450 | Geometry: Euclid and Beyond | Robin Hartshorne | Taschenbuch | xii

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Sprache: Englisch

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Beschreibung

Preliminary Booksellers Text: Do Not Use This book takes Euclid's "Elements" ad the starting point for a study of geometry from a modern mathematical perspective. To begin, the reader will become familiar with the content of Euclid's work, at least those parts which deal with geometry. At a second level, the book studies the logical structure of Euclid's presentation. Euclid's "Elements" has been regarded for more than two thousand years as the prime example of the axiomatic method. At the third level of reading, involving rather broader investigaions than the first two levels mentioned above, the author considers various mathematical questions and subsequent developments which arise naturally from Euclid's

Zusammenfassung

Inhaltsverzeichnis

1. Euclid¿s Geometry.- 2. Hilbert¿s Axioms.- 3. Geometry over Fields.- 4. Segment Arithmetic.- 5. Area.- 6. Construction Problems and Field Extensions.- 7. Non-Euclidean Geometry.- 8. Polyhedra.- Appendix: Brief Euclid.- Notes.- References.- List of Axioms.- Index of Euclid¿s Propositions.

Details

Erscheinungsjahr:	2010
Fachbereich:	Geometrie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xii 528 S. 550 s/w Illustr.
ISBN-13:	9781441931450
ISBN-10:	1441931457
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Hartshorne, Robin
Hersteller:	Springer Springer US Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	254 x 178 x 30 mm
Von/Mit:	Robin Hartshorne
Erscheinungsdatum:	15.12.2010
Gewicht:	1,011 kg