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Geometry: Euclid and Beyond - Robin Hartshorne
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Geometry: Euclid and Beyond - neues Buch

ISBN: 9781441931450

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Geometry: Euclid and Beyond 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-1-4419-3145-0, Springer

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Geometry: Euclid and Beyond - Robin Hartshorne
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Robin Hartshorne:

Geometry: Euclid and Beyond - neues Buch

ISBN: 9781441931450

ID: 240981869

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. Geometry: Euclid and Beyond Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Geometry: Euclid and Beyond (1st ed. Softcover of orig. ed. 2000) - Robin Hartshorne
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Robin Hartshorne:
Geometry: Euclid and Beyond (1st ed. Softcover of orig. ed. 2000) - Taschenbuch

2000

ISBN: 1441931457

ID: 16424702019

[EAN: 9781441931450], Neubuch, [PU: Springer-Verlag New York Inc.], BRAND NEW, Geometry: Euclid and Beyond (1st ed. Softcover of orig. ed. 2000), Robin Hartshorne, 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.

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Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics) - Hartshorne, Robin
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Hartshorne, Robin:
Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics) - Taschenbuch

2010, ISBN: 1441931457

ID: 17150462611

[EAN: 9781441931450], Neubuch, [PU: Springer], 2010. Paperback. . . . . . Books ship from the US and Ireland

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Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics) - Hartshorne, Robin
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Hartshorne, Robin:
Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics) - Taschenbuch

ISBN: 1441931457

ID: 18109484149

[EAN: 9781441931450], Neubuch, [PU: Springer], 1441931457 New Condition.

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Details zum Buch
Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
Autor:

Hartshorne, Robin

Titel:

Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)

ISBN-Nummer:

1441931457

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.

Detailangaben zum Buch - Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)


EAN (ISBN-13): 9781441931450
ISBN (ISBN-10): 1441931457
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
544 Seiten
Gewicht: 1,008 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 01.04.2007 01:46:25
Buch zuletzt gefunden am 28.04.2016 03:46:24
ISBN/EAN: 1441931457

ISBN - alternative Schreibweisen:
1-4419-3145-7, 978-1-4419-3145-0

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