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Springer-Verlag New York Inc. 2010 Paperback New Ships in a BOX from Central Missouri! UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes).
ISBN10: 1441931457, ISBN13: 9781441931450, [publisher: Springer] Softcover Ships in a BOX from Central Missouri! UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). [Columbia, MO, U.S.A.] [Publication Year: 2010]
New York, NY Springer-Verlag New York Inc. 2010 Paperback New. 528 p. Undergraduate Texts in Mathematics . XII, 528 p. Intended for professional and scholarly audience.
ISBN10: 1441931457, ISBN13: 9781441931450, [publisher: Springer New York] Softcover 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: 2010] ...
ISBN10: 1441931457, ISBN13: 9781441931450, [publisher: Springer New York] Softcover 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: 2010] ...
New York, NY Springer-Verlag New York Inc. 2010 Paperback New. 528 p. Undergraduate Texts in Mathematics . XII, 528 p. Intended for professional and scholarly audience.
New York, NY Springer-Verlag New York Inc. 2010 Paperback New. Undergraduate Texts in Mathematics . XII, 528 p. Intended for professional and scholarly audience.
Paperback / softback. 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 1441931457 9781441931450 [GB]
ISBN10: 1441931457, ISBN13: 9781441931450, [publisher: Springer-Verlag New York Inc.] Softcover This text 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. Series: Undergraduate Texts in Mathematics. Num Pages: 528 pages, biography. BIC Classification: PBM. Category: (P) Professional & Vocational. Dimension: 182 x 256 x 32. Weight in Grams: 1014. . 2010. Paperback. . . . . [Galway, GY, Ireland] [Publication Year: 2010]
ISBN10: 1441931457, ISBN13: 9781441931450, [publisher: Springer-Verlag New York Inc.] Softcover This text 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. Series: Undergraduate Texts in Mathematics. Num Pages: 528 pages, biography. BIC Classification: PBM. Category: (P) Professional & Vocational. Dimension: 182 x 256 x 32. Weight in Grams: 1014. . 2010. Paperback. . . . . Books ship from the US and Ireland. [Olney, MD, U.S.A.] [Publication Year: 2010]
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