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.
General
| Imprint: |
Springer-Verlag New York
|
| Country of origin: |
United States |
| Series: |
Undergraduate Texts in Mathematics |
| Release date: |
October 2011 |
| First published: |
1979 |
| Authors: |
J.A. Thorpe
|
| Dimensions: |
235 x 155 x 14mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
256 |
| Edition: |
Softcover reprint of the original 1st ed. 1979 |
| ISBN-13: |
978-1-4612-6155-1 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
Differential & Riemannian geometry
|
| LSN: |
1-4612-6155-4 |
| Barcode: |
9781461261551 |
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