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Carte Geometry III Yu. D. Burago

Geometry III

Autor: Yu. D. Burago, V. A. Zalgaller
Limbă: engleză
Legare: Copertă tare
Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Disponibilitate: În depozitul extern în cantități mici
Expediem în 11-15 zile
581.45 lei
Dieses Buch behandelt die moderne Theorie der Flächen in euklidischen Räumen. Einzigartig ist die um...

Informații despre carte

Autor
Yu. D. Burago, V. A. Zalgaller
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
1992
Pagini
258
EAN
9783540533771
ISBN
354053377X
Enbook ID
05274164
Editura
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Greutate
1230
Dimensiuni
155 x 235 x 23

Descriere completă

Dieses Buch behandelt die moderne Theorie der Flächen in euklidischen Räumen. Einzigartig ist die umfassende Darstellung, die das Zusammenspiel mit anderen mathematischen Theorien betont. Bislang wurde dieses aktive Gebiet mathematischer Forschung oft nur bruchstückhaft oder mittels isolierter Beispiele dargestellt. Der Leser sollte mit den Grundlagen der Differentialgeometrie vertraut sein, wie sie z.B. in Band 28 der EMS zu finden sind. Der Stoff ist für Studenten verständlich aufbereitet und von großem Nutzen für forschende Mathematiker. The theory of surfaces in Euclidean spaces is remarkably rich in deep results and applications, e.g. in the theory of non-linear partial differential equations, physics and mechanics. This theory has great clarity and intrinsic beauty, and differs in many respects from the theory of multidimensional submanifolds. A separate volume of the Encyclopaedia is therefore devoted to surfaces. It is concerned mainly with the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry, and, above all, with the influence of properties of intrinsic metrics on the geometry of surfaces. Yu.D. Burago and S.Z. Shefel' give an extended survey of surfaces from a non-traditional viewpoint stressing the connection between classes of metrics and classes of surfaces in En. A number of conjectures are included. §E. R. Rozendorn considers the state of the art of the still incomplete theory of curvature in three-dimensional Euclidean space, and I.Kh. Sabitov considers subtle questions of local bendability and rigidity of surfaces. These articles reflect the development of the results of N.V. Efimov and include statements of unsolved problems.

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