# Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)

## Thorpe, John A.

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From the Publisher:

In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under­ standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student's preliminary understanding of higher dimensions is not cultivated.

From the Publisher:

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. Coordinate 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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## 1.Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)

ISBN 10: 0387903577 ISBN 13: 9780387903576
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Nick Book House
(fresno, CA, Estados Unidos de America)
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Descripción Paperback. Estado de conservación: New. New Softcover International Edition, Printed in Black and White, Different ISBN, Same Content As US edition, Book Cover may be Different, in English Language. Nº de ref. de la librería 16796

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## 2.Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)

Editorial: Springer 1994-10-27 (1994)
ISBN 10: 0387903577 ISBN 13: 9780387903576
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Oak Creek Books
(Mineral Wells, WV, Estados Unidos de America)
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Descripción Springer 1994-10-27, 1994. Hardcover. Estado de conservación: New. New clean and tight!APO/FPO orders welcomed! Real World pricing and out of this world service! Orders processed every day! Thanks for shopping with us on ABE!. Nº de ref. de la librería 091315-15

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## 3.Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)

Editorial: Springer (1994)
ISBN 10: 0387903577 ISBN 13: 9780387903576
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Book Deals
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Descripción Springer, 1994. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service!. Nº de ref. de la librería ABE_book_new_0387903577

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## 4.Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)

Editorial: Springer (1994)
ISBN 10: 0387903577 ISBN 13: 9780387903576
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Irish Booksellers
(Rumford, ME, Estados Unidos de America)
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Descripción Springer, 1994. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0387903577

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## 5.Elementary Topics in Differential Geometry

Editorial: Springer-Verlag New York Inc. 1994-10-27, New York, NY (1994)
ISBN 10: 0387903577 ISBN 13: 9780387903576
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Blackwell's
(Oxford, OX, Reino Unido)
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Descripción Springer-Verlag New York Inc. 1994-10-27, New York, NY, 1994. hardback. Estado de conservación: New. Nº de ref. de la librería 9780387903576

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## 6.Elementary Topics in Differential Geometry (Hardback)

Editorial: Springer-Verlag New York Inc., United States (1994)
ISBN 10: 0387903577 ISBN 13: 9780387903576
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción Springer-Verlag New York Inc., United States, 1994. Hardback. Estado de conservación: New. 1st ed. 1979. Corr. 4th printing 1994. 239 x 160 mm. Language: English . Brand New Book. In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under- standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student s preliminary understanding of higher dimensions is not cultivated. Nº de ref. de la librería AAZ9780387903576

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## 7.Elementary Topics in Differential Geometry (Hardback)

Editorial: Springer-Verlag New York Inc., United States (1994)
ISBN 10: 0387903577 ISBN 13: 9780387903576
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción Springer-Verlag New York Inc., United States, 1994. Hardback. Estado de conservación: New. 1st ed. 1979. Corr. 4th printing 1994. 239 x 160 mm. Language: English . Brand New Book. In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under- standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student s preliminary understanding of higher dimensions is not cultivated. Nº de ref. de la librería AAZ9780387903576

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## 8.ELEMENTARY TOPICS IN DIFFERENTIAL GEOME

ISBN 10: 0387903577 ISBN 13: 9780387903576
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Descripción Estado de conservación: New. Bookseller Inventory # ST0387903577. Nº de ref. de la librería ST0387903577

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## 9.Elementary Topics in Differential Geometry

Editorial: Springer-Verlag New York Inc. (1994)
ISBN 10: 0387903577 ISBN 13: 9780387903576
Librería
Books2Anywhere
(Fairford, GLOS, Reino Unido)
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Descripción Springer-Verlag New York Inc., 1994. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería GB-9780387903576

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## 10.Elementary Topics in Differential Geometry

ISBN 10: 0387903577 ISBN 13: 9780387903576
Librería
Ria Christie Collections
(Uxbridge, Reino Unido)
Valoración

Descripción Hardback. Estado de conservación: New. Not Signed; In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under- standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student's preliminary understanding of higher dimensions is not cultivated. book. Nº de ref. de la librería ria9780387903576_rkm

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