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GRADUATE TEXTS IN MATHEMATICA .: MODERN GEOMETRY - METHODS AND APPLICATIONS - PART II - THE GEOMETRY AND TOPOLOGY OF MANIFOLDS - Couverture rigide

 
9780387961620: GRADUATE TEXTS IN MATHEMATICA .: MODERN GEOMETRY - METHODS AND APPLICATIONS - PART II - THE GEOMETRY AND TOPOLOGY OF MANIFOLDS

Synopsis

Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skew-symmetric tensors (i. e.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This material is explained in as simple and concrete a language as possible, in a terminology acceptable to physicists. The text for the second edition has been substantially revised.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Dubrovin, B.A. and Burns, RG (Trans)
Edité par Springer, 1985
ISBN 10 : 0387961623 ISBN 13 : 9780387961620
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Etat : Good. Volume 2. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,850grams, ISBN:9780387961620. N° de réf. du vendeur 9789718

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Dubrovin, B.A.; Fomenko, A.T.; Novikov, S.P.
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Dubrovin, B.A.; Fomenko, A.T.; Novikov, S.P.
Edité par Springer, 1985
ISBN 10 : 0387961623 ISBN 13 : 9780387961620
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Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P.
Edité par Springer, 1985
ISBN 10 : 0387961623 ISBN 13 : 9780387961620
Neuf Couverture rigide

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Hardcover. Etat : new. Hardcover. Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skew-symmetric tensors (i. e. Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780387961620

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B. A. Dubrovin
Edité par Springer New York Aug 1985, 1985
ISBN 10 : 0387961623 ISBN 13 : 9780387961620
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skew-symmetric tensors (i. e. 452 pp. Englisch. N° de réf. du vendeur 9780387961620

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Dubrovin, B.A.; Fomenko, A.T.; Novikov, S.P.
Edité par Springer, 1985
ISBN 10 : 0387961623 ISBN 13 : 9780387961620
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B. A. Dubrovin
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B.A. Dubrovin A.T. Fomenko R.G. Burns
Edité par Springer, 1985
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Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P.
Edité par Springer, 1985
ISBN 10 : 0387961623 ISBN 13 : 9780387961620
Ancien ou d'occasion Couverture rigide

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