Modern Geometric Structures and Fields: 71

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9780821839294: Modern Geometric Structures and Fields: 71

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.

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1.

S. P. Novikov; I. A. Taimanov
Editore: American Mathematical Society (2006)
ISBN 10: 0821839292 ISBN 13: 9780821839294
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Sequitur Books
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Descrizione libro American Mathematical Society, 2006. Hardcover. Condizione libro: New. Brand new. We distribute directly for the publisher. 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 libro della libreria 1005120109

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Novikov, S. P.; Taimanov, I. A.
ISBN 10: 0821839292 ISBN 13: 9780821839294
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218392940000000

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I. S. Novikov, I. A. Taimanov
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Descrizione libro American Mathematical Society, United States, 2006. Hardback. Condizione libro: New. Illustrated edition. 260 x 186 mm. Language: English . Brand New Book. 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 libro della libreria AAN9780821839294

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I. S. Novikov, I. A. Taimanov
Editore: American Mathematical Society, United States (2006)
ISBN 10: 0821839292 ISBN 13: 9780821839294
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Descrizione libro American Mathematical Society, United States, 2006. Hardback. Condizione libro: New. Illustrated edition. 260 x 186 mm. Language: English . Brand New Book. 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 libro della libreria AAN9780821839294

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I. S. Novikov, I. A. Taimanov
Editore: American Mathematical Society
ISBN 10: 0821839292 ISBN 13: 9780821839294
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Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, Modern Geometric Structures and Fields (Illustrated edition), I. S. Novikov, I. A. Taimanov, 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 libro della libreria B9780821839294

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6.

S. P. Novikov; I. A. Taimanov
Editore: American Mathematical Society (2006)
ISBN 10: 0821839292 ISBN 13: 9780821839294
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Descrizione libro American Mathematical Society, 2006. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821839292

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S. P. Novikov, I. A. Taimanov
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ISBN 10: 0821839292 ISBN 13: 9780821839294
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Descrizione libro American Mathematical Society, 2006. Hardcover. Condizione libro: New. Codice libro della libreria DADAX0821839292

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Novikov, S. P./ Taimanov, I. A.
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Descrizione libro Amer Mathematical Society, 2006. Hardcover. Condizione libro: Brand New. [ english edition. 633 pages. 10.00x7.00x1.50 inches. In Stock. Codice libro della libreria __0821839292

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Descrizione libro Condizione libro: Brand New. Book Condition: Brand New. Codice libro della libreria 97808218392941.0

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I.A. Taimanov
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Descrizione libro 2006. Hardcover. Condizione libro: New. Illustrated edition. Hardcover. 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 .Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 633 pages. Codice libro della libreria 9780821839294

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