Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)

Thorpe, J. A.

ISBN 10: 0387903577 / ISBN 13: 9780387903576

Edité par Springer, 1979

A propos de cet article

This book is in good condition. The cover has minor creases or bends. The binding is tight and pages are intact. Some pages may have writing or highlighting.

N° de réf. du vendeur BRV.0387903577.G

Détails bibliographiques

• Titre: Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)
• Éditeur: Springer
• Date de parution: 1979
• Langue: anglais
• ISBN à 10 chiffres: 0387903577
• ISBN à 13 chiffres: 9780387903576
• Reliure: Couverture rigide
• État de l'article: good

A propos de ce titre

Synopsis

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.

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