Anbieter: Books From California, Simi Valley, CA, USA
Hardcover. Zustand: Good.
Anbieter: Books From California, Simi Valley, CA, USA
Hardcover. Zustand: Very Good. Cover and edges may have some wear.
Anbieter: Arroyo Seco Books, Pasadena, Member IOBA, Pasadena, CA, USA
Verbandsmitglied: IOBA
Erstausgabe
Hardcover. Zustand: Near Fine. 1st Edition. 526 Pp + 2 Pp Catalog At End. Hardcover. First Printing Indicated. Slight Usage, Near Fine, No Marks.
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
EUR 59,99
Anzahl: Mehr als 20 verfügbar
In den WarenkorbZustand: New. In English.
Sprache: Englisch
Verlag: New York/Heidelberg, Springer (Undergraduate Texts in Mathematics / UTM), 2000
ISBN 10: 0387986502 ISBN 13: 9780387986500
Anbieter: Antiquariat Smock, Freiburg, Deutschland
Erstausgabe
Zustand: Sehr gut. Formateinband: illustrierter Pappband / gebundene Ausgabe XI, 526 S. (25x18 cm) 1st Edition; Sehr guter Zustand. Sprache: Englisch Gewicht in Gramm: 1500 [Stichwörter: Geometrie, Euklid, Eiclid's Geometry, Hilbert's Axioms, Geometry over fields, Segment Arithmetic, Area, Construction Problems and Field Extensions, Non-Euclidean Geometry, Polyhedra].
Anbieter: Majestic Books, Hounslow, Vereinigtes Königreich
EUR 72,21
Anzahl: 1 verfügbar
In den WarenkorbZustand: New. pp. 544 Illus.
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
EUR 98,87
Anzahl: 2 verfügbar
In den WarenkorbHardcover. Zustand: Brand New. 526 pages. 9.50x7.00x1.00 inches. In Stock.
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert's axioms. The Cartesian plane over a field provides an analytic model of the theory, and conversely, we see that one can introduce coordinates into an abstract geometry. The theory of area is analyzed by cutting figures into triangles. The algebra of field extensions provides a method for deciding which geometrical constructions are possible. The investigation of the parallel postulate leads to the various non-Euclidean geometries. And in the last chapter we provide what is missing from Euclid's treatment of the five Platonic solids in Book XIII of the Elements. For a one-semester course such as I teach, Chapters 1 and 2 form the core material, which takes six to eight weeks.