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books
| book details |
Generalized Curvatures
By (author) Jean-Marie Morvan
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normal price: R 4 356.95
Price: R 4 138.95
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| book description |
The central object of this book is the measure of geometric quantities describing N a subset of the Euclidean space (E ,), endowed with its standard scalar product. Let us state precisely what we mean by a geometric quantity. Consider a subset N S of points of the N-dimensional Euclidean space E , endowed with its standard N scalar product. LetG be the group of rigid motions of E . We say that a 0 quantity Q(S) associated toS is geometric with respect toG if the corresponding 0 quantity Q[g(S)] associated to g(S) equals Q(S), for all g?G . For instance, the 0 diameter ofS and the area of the convex hull ofS are quantities geometric with respect toG . But the distance from the origin O to the closest point ofS is not, 0 since it is not invariant under translations ofS. It is important to point out that the property of being geometric depends on the chosen group. For instance, ifG is the 1 N group of projective transformations of E , then the property ofS being a circle is geometric forG but not forG , while the property of being a conic or a straight 0 1 line is geometric for bothG andG . This point of view may be generalized to any 0 1 subsetS of any vector space E endowed with a groupG acting on it.
| product details |
Normally shipped |
Publisher | Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Published date | 28 Oct 2010
Language |
Format | Paperback / softback
Pages | 266
Dimensions | 235 x 155 x 0mm (L x W x H)
Weight | 0g
ISBN | 978-3-6420-9300-5
Readership Age |
BISAC | mathematics / geometry / differential
| other options |
Normally shipped |
Readership Age |
Normal Price | R 5 359.95
Price | R 5 091.95
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