Synopsis
This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. The calculus of vector fields is used as the primary tool in developing the theory. Co-ordinate patches are introduced only after preliminary discussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text, which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a one-semester course at the junior/senior level.
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Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)
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Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)
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Springer-Verlag Berlin and Heide, 1994
ISBN 10: 3540903577
ISBN 13: 9783540903574
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Elementary topics in differential geometry.
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Hardcover. (4., corr. printing). XIII, 253 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. M06754 3540903577 Sprache: Englisch Gewicht in Gramm: 700. Seller Inventory # 2542024
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Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)
Published by
Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1994
ISBN 10: 3540903577
ISBN 13: 9783540903574
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Elementary topics in differential geometry John A. Thorpe. Undergraduate texts in mathematics.
Seller: Antiquariat Bookfarm, Löbnitz, Germany
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 53 THO 9783540903574 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2502004
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Elementary topics in differential geometry John A. Thorpe. Undergraduate texts in mathematics.
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 53 THO 9783540903574 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2502017