ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover pp. 544
[New York, NY, U.S.A.] [Publication Year: 2000]

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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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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ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 2.4
[Phoenix, AZ, U.S.A.] [Publication Year: 2000]

Springer 2000 Corrected 2000. Corr. 3rd Printing 2005 ed. Hardcover Good Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.

New York, NY Springer 2000 Corrected 2000. Corr. 3rd Printing 2005 ed. Hard cover Good. Sewn binding. Cloth over boards. 528 p. Contains: Unspecified. Undergraduate Texts in Mathematics. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers.

New York, NY Springer 2005 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: 2000-06-08. Hardcover. New. New. In shrink wrap. Looks like an interesting title! 2000. Springer ISBN 0387986502 9780387986500 [US]

Springer, Date: 2000-06-08. Corrected 2000. hardcover. Used: Good. 2000. Springer ISBN 0387986502 9780387986500 [US]

Springer, Date: 2000. 1st Edition 1st Printing. Hardcover. Near Fine. 526 Pp + 2 Pp Catalog At End. Hardcover. First Printing Indicated. Slight Usage, Near Fine, No Marks. 2000. Springer ISBN 0387986502 9780387986500 [US]

Hardback. New. 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. ISBN 0387986502 9780387986500 [GB]

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 Gut/Very good: Buch bzw. Schutzumschlag mit wenigen Gebrauchsspuren an Einband, Schutzumschlag oder Seiten. / Describes a book or dust jacket that does show some signs of wear on either the binding, dust jacket or pages.
[Berlin, Germany] [Publication Year: 2000]

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer 06.2000.] Hardcover First Edition 540 Seiten 9780387986500 Wir verkaufen nur, was wir auch selbst lesen würden. Sprache: Englisch Gewicht in Gramm: 1321 Auflage: 1st Corrected ed. 2000. Corr. 3rd printing 2005.
[Oberthal, Germany] [Publication Year: 2000]
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ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover 100% Customer Satisfaction Guaranteed ! The book shows some signs of wear from use but is a good readable copy. Cover in excellent condition. Binding tight. Pages in great shape, no tears. Not contain access codes, cd, DVD.
[Suffolk, United Kingdom] [Publication Year: 2000]

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

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover Ships in a BOX from Central Missouri! May not include working access code. Will not include dust jacket. Has used sticker(s) and some writing or highlighting. UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes).
[Columbia, MO, U.S.A.] [Publication Year: 2000]

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc.
[Montgomery, IL, U.S.A.] [Publication Year: 2000]

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover Special order direct from the distributor
[Victoria, BC, Canada] [Publication Year: 2005]

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

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover
[Moncks Corner, SC, U.S.A.] [Publication Year: 2000]

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover Connecting readers with great books since 1972. Used textbooks may not include companion materials such as access codes, etc. May have condition issues including wear and notes/highlighting. We ship orders daily and Customer Service is our top priority!
[Dallas, TX, U.S.A.] [Publication Year: 2000]

ISBN10: 0387986502, ISBN13: 9780387986500, [publisher: Springer] Hardcover Buy for Great customer experience
[Houston, TX, U.S.A.] [Publication Year: 2000]

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