9780387255309 - the four pillars of geometry (undergraduate texts in mathematics) von stillwell, john (3 Ergebnisse)

Sprache: Englisch
Verlag: Springer 2005
Serie: Undergraduate Texts in Mathematics, Buch 10 von 170. Buch 10 von 170 - Undergraduate Texts in Mathematics
- Hardcover
Anbieter: medimops, Berlin, , Deutschlandmedimops
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Zustand: good. Befriedigend/Good: Durchschnittlich erhaltenes Buch bzw. Schutzumschlag mit Gebrauchsspuren, aber vollständigen Seiten. / Describes the average WORN book or dust jacket that has all the pages present.

Sprache: Englisch
Verlag: Springer Verlag 2005
Serie: Undergraduate Texts in Mathematics, Buch 10 von 170. Buch 10 von 170 - Undergraduate Texts in Mathematics
- Hardcover
Anbieter: Revaluation Books, Exeter, , Vereinigtes KönigreichRevaluation Books
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Hardcover. Zustand: Brand New. 1st edition. 227 pages. 9.25x6.25x0.75 inches. In Stock.

Sprache: Englisch
Verlag: Springer, Humana 2005
Serie: Undergraduate Texts in Mathematics, Buch 10 von 170. Buch 10 von 170 - Undergraduate Texts in Mathematics
- Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Many people think there is only one 'right' way to teach geometry. For two millennia, the 'right' way was Euclid's way, and it is still good in many respects. But in the 1950s the cry 'Down with triangles!' was heard in France and new geometry books appeare…d, packed with linear algebra but with no diagrams. Was this the new 'right' way, or was the 'right' way something else again, perhaps transformation groups In this book, I wish to show that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Euclid-style construction and axiomatics seem the best way to start, but linear algebra smooths the later stages by replacing some tortuous arguments by simple calculations. And how can one avoid projective geometry It not only explains why objects look the way they do; it also explains why geometry is entangled with algebra. Finally, one needs to know that there is not one geometry, but many, and transformation groups are the best way to distinguish between them. Two chapters are devoted to each approach: The rst is concrete and introductory, whereas the second is more abstract. Thus, the rst chapter on Euclid is about straightedge and compass constructions; the second is about axioms and theorems. The rst chapter on linear algebra is about coordinates; the second is about vector spaces and the inner product.