Undergraduate Texts in Mathematics

Elementary Topics in Differential Geometry

Authors: Thorpe, J. A.

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About this Textbook

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 underĀ­ 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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Table of contents (24 chapters)

Table of contents (24 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-1-4612-6153-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $89.99
price for USA in USD
Softcover $59.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Elementary Topics in Differential Geometry
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1979
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4612-6153-7
DOI
10.1007/978-1-4612-6153-7
Hardcover ISBN
978-0-387-90357-6
Softcover ISBN
978-1-4612-6155-1
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XIV, 256
Topics