Articles liés à Geometry: Euclid and Beyond
Synopsis
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
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Biographie de l'auteur
Robin Hartshorne is a professor of mathematics at the University of California at Berkeley, and is the author of Foundations of Projective Geometry (Benjamin, 1967) and Algebraic Geometry (Springer, 1977).
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Geometry: Euclid and Beyond.
ISBN 10 : 0387986502
ISBN 13 : 9780387986500
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Vendeur : Antiquariat Smock, Freiburg, Allemagne
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Etat : 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]. N° de réf. du vendeur 77349
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Geometry: Euclid and Beyond
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Springer New York, 2000
ISBN 10 : 0387986502
ISBN 13 : 9780387986500
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 rec. N° de réf. du vendeur 5913428
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Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
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Springer, 2000
ISBN 10 : 0387986502
ISBN 13 : 9780387986500
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Vendeur : Marlton Books, Bridgeton, NJ, Etats-Unis
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Etat : Acceptable. Readable, but has significant damage / tears. Has a remainder mark. hardcover Used - Acceptable 2000. N° de réf. du vendeur M-20005199
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Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In English. N° de réf. du vendeur ria9780387986500_new
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Geometry: Euclid and Beyond
Edité par
Springer New York Jun 2000, 2000
ISBN 10 : 0387986502
ISBN 13 : 9780387986500
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 544 pp. Englisch. N° de réf. du vendeur 9780387986500
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Geometry: Euclid and Beyond
Edité par
Springer New York, Springer New York Jun 2000, 2000
ISBN 10 : 0387986502
ISBN 13 : 9780387986500
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 544 pp. Englisch. N° de réf. du vendeur 9780387986500
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Geometry: Euclid and Beyond
Edité par
Springer New York, Springer New York, 2000
ISBN 10 : 0387986502
ISBN 13 : 9780387986500
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : 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. N° de réf. du vendeur 9780387986500
Quantité disponible : 1 disponible(s)
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Geometry : Euclid and Beyond
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
Vendeur : California Books, Miami, FL, Etats-Unis
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Etat : New. N° de réf. du vendeur I-9780387986500
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Geometry : Euclid and Beyond
Edité par
Springer, 2000
ISBN 10 : 0387986502
ISBN 13 : 9780387986500
Ancien ou d'occasion
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 672711
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