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Moderne geometrische Strukturen und Felder von Sergej Petrowitsch Nowikow Hardcover-
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eBay-Artikelnr.:365712811671
Artikelmerkmale
- Artikelzustand
- Pages
- 649
- Publication Date
- 2006-12-01
- Book Title
- Modern Geometric Structures and Fields
- ISBN
- 9780821839294
Über dieses Produkt
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
0821839292
ISBN-13
9780821839294
eBay Product ID (ePID)
53953085
Product Key Features
Number of Pages
634 Pages
Language
English
Publication Name
Modern Geometric Structures and Fields
Subject
Geometry / Non-Euclidean
Publication Year
2006
Type
Textbook
Subject Area
Mathematics
Series
Graduate Studies in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
1.5 in
Item Weight
44.2 Oz
Item Length
10.3 in
Item Width
7.4 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2006-047704
Dewey Edition
22
Series Volume Number
71
Illustrated
Yes
Dewey Decimal
516.3/73
Table Of Content
Cartesian spaces and Euclidean geometry Symplectic and pseudo-Euclidean spaces Geometry of two-dimensional manifolds Complex analysis in the theory of surfaces Smooth manifolds Groups of motions Tensor algebra Tensor fields in analysis Analysis of differential forms Connections and curvature Conformal and complex geometries Morse theory and Hamiltonian formalism Poisson and Lagrange manifolds Multidimensional variational problems Geometric fields in physics Bibliography Index.
Synopsis
The authors present the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the most important structures on them. Prerequisites for using the book include several basic undergraduate courses., The book presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the most important structures on them. The authors' approach is that the source of all constructions in Riemannian geometry is a manifold that allows one to compute scalar products of tangent vectors. With this approach, the authors show that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.In particular, Geometry is a bridge between pure mathematics and natural sciences, first of all physics. Fundamental laws of nature are formulated as relations between geometric fields describing various physical quantities. The study of global properties of geometric objects leads to the far-reaching development of topology, including topology and geometry of fiber bundles. Geometric theory of Hamiltonian systems, which describe many physical phenomena, led to the development of symplectic and Poisson geometry. Field theory and the multidimensional calculus of variations, presented in the book, unify mathematics with theoretical physics. Geometry of complex and algebraic manifolds unifies Riemannian geometry with modern complex analysis, as well as with algebra and number theory. Prerequisites for using the book include several basic undergraduate courses, such as advanced calculus, linear algebra, ordinary differential equations, and elements of topology., The book presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the most important structures on them. The authors' approach is that the source of all constructions in Riemannian geometry is a manifold that allows one to compute scalar products of tangent vectors. With this approach, the authors show that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications. In particular, Geometry is a bridge between pure mathematics and natural sciences, first of all physics. Fundamental laws of nature are formulated as relations between geometric fields describing various physical quantities. The study of global properties of geometric objects leads to the far-reaching development of topology, including topology and geometry of fiber bundles. Geometric theory of Hamiltonian systems, which describe many physical phenomena, led to the development of symplectic and Poisson geometry. Field theory and the multidimensional calculus of variations, presented in the book, unify mathematics with theoretical physics. Geometry of complex and algebraic manifolds unifies Riemannian geometry with modern complex analysis, as well as with algebra and number theory. Prerequisites for using the book include several basic undergraduate courses, such as advanced calculus, linear algebra, ordinary differential equations, and elements of topology., Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds. This book unifies Riemannian geometry with modern complex analysis, as well as with algebra and number theory.
LC Classification Number
QA685.N6813 2006
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FlipTheStrip
99,8% positive Bewertungen•5.806 Artikel verkauft
Angemeldet als privater VerkäuferDaher finden verbraucherschützende Vorschriften, die sich aus dem EU-Verbraucherrecht ergeben, keine Anwendung. Der eBay-Käuferschutz gilt dennoch für die meisten Käufe. Mehr erfahrenMehr erfahren
Verkäuferbewertungen (1.763)
- m***- (1031)- Bewertung vom Käufer.Letzte 6 MonateBestätigter Kaufhad a fantastic experience with this vendor-- who i can effortlessly recommend to anybody as both credible & professional in every way-- bona fide across the board, as it were... item was well described & photographed-- pricing was entirely fair & vendor was willing to negotiate with great reasonability-- communication & attention to detail was top-notch as well; finally, my shipment arrived well-packaged & well-ahead of schedule-- inside was a kind note & an unexpected gift-- how thoughtful..!
- n***e (6)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufShipping I think took a week or so (which is good). The seller packaged my items extremely well as I had to unwrap a bunch of bubble wrap (which is also good and I will recycle). It is exactly as it was described and shown in the pictures. And it is definitely worth the price as it still functions perfectly and considering there are other seller selling similar items for more than double the price I paid. + the seller helped me work the toy correctly as I had trouble getting it to turn on. 10/10The Claw Machine Pizza Planet Space Crane No Aliens Disney Pixar Toy Story Works (Nr. 365533490147)
- 6***g (25)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufUSPS took way too long to deliver (three weeks, not seller's fault). The frames were packaged well. The first frames I received were the wrong ones, but the seller quickly sent out the correct ones that were as described and those I received in a timely manner. The price was fair considering these frames were very hard to find.BROOKS BROTHERS 363 1196 Metallic Brown Oval Eyeglasses Frame Only 48-19-135 (Nr. 365238057641)