| Elementary Topics in Differential Geometry Softcover Repri Edition Contributor(s): Thorpe, J. a. (Author) |
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ISBN: 1461261554 ISBN-13: 9781461261551 Publisher: Springer OUR PRICE: $61.74 Product Type: Paperback - Other Formats Published: October 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential |
| Dewey: 516.36 |
| Series: Undergraduate Texts in Mathematics |
| Physical Information: 0.57" H x 6.14" W x 9.21" (0.85 lbs) 256 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |