ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer New York] Hardcover 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.
[Einbeck, Germany] [Publication Year: ...
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Springer, Date: 2000-06-08. Hardcover. Good. Textbook, May Have Highlights, Notes and/or Underlining, BOOK ONLYNO ACCESS CODE, NO CD, Ships with Emailed Tracking 2000. Springer ISBN 0387986502 9780387986500 [US]

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover
[Bayonne, NJ, U.S.A.] [Publication Year: 2005]
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Hard Cover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The Geometry: Euclid and Beyond. ISBN 0387986502 9780387986500 [GB]

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover Like New
[Redhill, SURRE, United Kingdom] [Publication Year: 2005]

Springer 9/28/2005 Corrected 2000. Corr. 3rd Printing 2005 ed. Hardback or Cased Book New in New jacket Geometry: Euclid and Beyond (Hardback or Cased Book)

New York, NY Springer 2000 Corrected 2000. Corr. 3rd Printing 2005 ed. Hard cover New. Sewn binding. Cloth over boards. 528 p. Contains: Unspecified. Undergraduate Texts in Mathematics.

New York, NY Springer 2000 Corrected 2000. Corr. 3rd Printing 2005 ed. Hard cover New. Sewn binding. Cloth over boards. 528 p. Contains: Unspecified. Undergraduate Texts in Mathematics.

Springer. New. Special order direct from the distributor Springer ISBN 0387986502 9780387986500 [CA]

Springer, Date: 2000. 1st. Hardcover. New. 2000. Springer ISBN 0387986502 9780387986500 [IN]

Springer Verlag, Date: 2000. Hardcover. New. 526 pages. 9.50x7.00x1.00 inches. 2000. Springer Verlag ISBN 0387986502 9780387986500 [GB]

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover New. In shrink wrap. Looks like an interesting title! 2.48
[North Las Vegas, NV, U.S.A.] [Publication Year: 2000]

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover New
[Long Beach, CA, U.S.A.] [Publication Year: 2000]

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover
[Denver, CO, U.S.A.] [Publication Year: 2000]