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Libro 62 di 190: Graduate Studies in Mathematics
Sinossi
Russian academics Novikov and Taimanov present the basics of Riemannian geometry in its modern form as the geometry of differentiable manifolds and the most important structures on them. Coverage includes the basics of various geometries in linear spaces, the geometry of two-dimensional manifolds, basics of topology of smooth manifolds, Lie groups, classical tensor algebra and tensor calculus, differential forms theory, the Riemannian theory of connections and curvature, conformal geometry, complex geometry, Morse theory and Hamiltonian formalism, Poisson and Lagrange manifolds, multidimensional variational problems, and geometric fields in physics. Assumes prior completion of several basic undergraduate courses, such as advanced calculus, linear algebra, ordinary differential equations, and elements of topology. Translated from Russian by Dmitry Chibisov. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)
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Book by S P Novikov I A Taimanov
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Modern Geometric Structures and Fields
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American Mathematical Society, 2006
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ISBN 13: 9780821839294
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Modern Geometric Structures and Fields. (Graduate Studies in Mathematics, Band 71)
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Karton Karton. Condizione: Sehr gut. 633 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 1250. Codice articolo 494810
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Modern Geometric Structures And Fields (Graduate Studies in Mathematics)
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American Mathematical Society, 2006
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ISBN 13: 9780821839294
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Condizione: New. 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. Series: Graduate Studies in Mathematics. Num Pages: 633 pages, Illustrations. BIC Classification: PBMP. Category: (P) Professional & Vocational; (UF) Further/Higher Education. . . 2006. Hardcover. . . . . Codice articolo V9780821839294
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Modern Geometric Structures and Fields
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Modern Geometric Structures And Fields (Graduate Studies in Mathematics)
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ISBN 13: 9780821839294
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Condizione: New. 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. Series: Graduate Studies in Mathematics. Num Pages: 633 pages, Illustrations. BIC Classification: PBMP. Category: (P) Professional & Vocational; (UF) Further/Higher Education. . . 2006. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821839294
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Modern Geometric Structures and Fields
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Hardback. Condizione: New. illustrated Edition. 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. Codice articolo LU-9780821839294
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Modern Geometric Structures and Fields
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Hardback. Condizione: New. illustrated Edition. 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. Codice articolo LU-9780821839294
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