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- PublisherSpringer
- Publication date2010
- ISBN 10 1441931457
- ISBN 13 9781441931450
- BindingPaperback
- Number of pages540
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Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
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Book Description paperback. Condition: New. Ships in a BOX from Central Missouri! UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). Seller Inventory # 001311931N
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Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics) by Hartshorne, Robin [Paperback ]
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Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
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Book Description Condition: New. Seller Inventory # ABLIING23Mar2411530294737
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Geometry: Euclid and Beyond
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Book Description PF. Condition: New. Seller Inventory # 6666-IUK-9781441931450
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Geometry: Euclid and Beyond
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Book Description Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Seller Inventory # ria9781441931450_lsuk
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Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
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Springer
(2010)
ISBN 10: 1441931457
ISBN 13: 9781441931450
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Geometry: Euclid and Beyond
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(2010)
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Book Description Taschenbuch. Condition: 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. Seller Inventory # 9781441931450
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Geometry: Euclid and Beyond
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Book Description Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Seller Inventory # C9781441931450
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Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
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Book Description Paperback. Condition: Brand New. 544 pages. 9.90x7.00x1.40 inches. In Stock. Seller Inventory # x-1441931457
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Geometry: Euclid and Beyond
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Springer New York
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Book Description Taschenbuch. Condition: 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. Seller Inventory # 9781441931450
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