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Generalized Curvatures
Jean-Marie Morvan
€ 145.93
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Description for Generalized Curvatures
Hardback. Intends to set the modern foundations of the theory of generalized curvature measures. Following a historical and didactic approach, this book introduces the mathematical background of the subject, curves and surfaces, convex subsets, smooth submanifolds, subsets of positive reach, polyhedra and triangulations, and surface reconstruction. Series: Geometry and Computing. Num Pages: 277 pages, 71 black & white illustrations, 36 colour illustrations, biography. BIC Classification: PBKS; PBMP; UGN. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 15. Weight in Grams: 584.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2008
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
277
Condition
New
Series
Geometry and Computing
Number of Pages
266
Place of Publication
Berlin, Germany
ISBN
9783540737919
SKU
V9783540737919
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Generalized Curvatures
From the reviews: "This book is a welcome addition to the literature in differential geometry. The main aim of this book is the measure of geometric quantities describing a subset of the Euclidean space … endowed with its standard scalar product. … The book contains 107 figures and the bibliography contains about 89 entries. The ... Read more