2010, ISBN: 1441931457

Titel: Geometry: Euclid and Beyond | Medium: Taschenbuch | Autor: Robin Hartshorne | Einband: Kartoniert / Broschiert | Inhalt: xii / 528 S. / 550 s/w Illustr. | Ausstattung / Beilage: Pa… Mehr…

Titel: Geometry: Euclid and Beyond | Medium: Taschenbuch | Autor: Robin Hartshorne | Einband: Kartoniert / Broschiert | Inhalt: xii / 528 S. / 550 s/w Illustr. | Ausstattung / Beilage: Paperback | Auflage: 2000 | Sprache: Englisch | Seiten: 544 | Reihe: Undergraduate Texts in Mathematics | Maße: 254 x 178 x 30 mm | Erschienen: 15.12.2010 | Anbieter: Buchbär. Geometry: Euclid and Beyond Taschenbuch von Robin Hartshorne Details Autor: Robin HartshorneEAN: 9781441931450Einband: Kartoniert / BroschiertInhalt: xii / 528 S. / 550 s/w Illustr.Ausstattung / Beilage: PaperbackAuflage: 2000Sprache: EnglischSeiten: 544Reihe: Undergraduate Texts in MathematicsMaße: 254 x 178 x 30 mmErschienen: 15.12.2010Schlagworte: Mathematik / Geometrie / Verstehen Beschreibung 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. Kurzbeschreibung Titel: Geometry: Euclid and Beyond | Medium: Taschenbuch | Autor: Robin Hartshorne | Einband: Kartoniert / Broschiert | Inhalt: xii / 528 S. / 550 s/w Illustr. | Ausstattung / Beilage: Paperback | Auflage: 2000 | Sprache: Englisch | Seiten: 544 | Reihe: Undergraduate Texts in Mathematics | Maße: 254 x 178 x 30 mm | Erschienen: 15.12.2010 | Anbieter: Buchbär Das erwartet Sie bei Buchbär Schnelle & professionelle Abwicklung Kompetenter & unkomplizierter Service Rechnung bequem per Email Versand per Deutsche Post oder DHL Interne Buchbär Artikelnummer: 107-168-331 , Neu, Festpreisangebot, [LT: FixedPrice], Publikationsname: Geometry: Euclid and Beyond, Buchreihe: Undergraduate Texts in Mathematics, Marke: Springer US, Springer New York, Undergraduate Texts in Mathematic, Hersteller: Springer US, Springer New York, Undergraduate Texts in Mathematic, Format: Taschenbuch, Genre: Mathematik, Ausgabe: 2000, Schlagworte: Mathematik, Geometrie, Verstehen, Herstellungsland und -region: Deutschland, Springer US, Springer New York, Undergraduate Texts in Mathematic, 2010<

2010, ISBN: 9781441931450

Kartoniert, 544 Seiten, 254mm x 178mm x 30mm, Sprache(n): eng Preliminary Booksellers Text: Do Not Use This book takes Euclid's "Elements" ad the starting point for a study of geometry fr… Mehr…

Kartoniert, 544 Seiten, 254mm x 178mm x 30mm, Sprache(n): eng 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'sIn 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. Versandkostenfreie Lieferung Area, Euclid's elements, Non-Euclidean Geometry, [PU: Springer]<

ISBN: 9781441931450

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 a… Mehr…

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<

2010, ISBN: 9781441931450

Springer, 2010. Paperback. New. 544 pages. 9.90x7.00x1.40 inches., Springer, 2010, 6

ISBN: 9781441931450

paperback, [PU: Springer]