Starting with a review of geometric ideas in Differential Calculus, the book leads the reader gently to a thorough study of the basic theory of differential manifolds and Lie groups, and ends with an introduction to Riemannian Geometry. The book is written in a conversational tone and is ideal for self-study. All the concepts are well-motivated and explained with concrete examples. The reader will find that Lie groups are used as thematic examples, so that when he finishes the theory of differential manifolds, he has learnt all basic results of the theory of Lie groups except Cartan s theorem. The proof of Frobenius theorem, the geometric interpretation of the Lie bracket, the constant reconciliation of the modern view point with the classical approach, especially in tensor analysis, and the illustration of all concepts in Lie groups in the context of linear Lie groups are noteworthy features of this book.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
S. Kumaresan, University of Mumbai, Mumbai
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Vendeur : Majestic Books, Hounslow, Royaume-Uni
Etat : New. pp. xi + 295 Figures. N° de réf. du vendeur 7597964
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Vendeur : Books Puddle, Woodside, NY, Etats-Unis
Etat : New. pp. xi + 295 Index. N° de réf. du vendeur 26282707
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Vendeur : Romtrade Corp., STERLING HEIGHTS, MI, Etats-Unis
Etat : New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. N° de réf. du vendeur ABBB-259319
Quantité disponible : 2 disponible(s)
Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni
Paperback. Etat : New. This book arose out of courses taught by the author. It covers the traditional topics of differential manifolds, tensor fields, Lie groups, integration on manifolds and basic differential and Riemannian geometry. The author emphasizes geometric concepts, giving the reader a working knowledge of the topic. Motivations are given, exercises are included, and illuminating nontrivial examples are discussed.Important features include the following: Geometric and conceptual treatment of differential calculus with a wealth of nontrivial examples. A thorough discussion of the much-used result on the existence, uniqueness, and smooth dependence of solutions of ODEs. Careful introduction of the concept of tangent spaces to a manifold. Early and simultaneous treatment of Lie groups and related concepts. A motivated and highly geometric proof of the Frobenius theorem. A constant reconciliation with the classical treatment and the modern approach. Simple proofs of the hairy-ball theorem and Brouwer's fixed point theorem. Construction of manifolds of constant curvature à la Chern. This text would be suitable for use as a graduate-level introduction to basic differential and Riemannian geometry. N° de réf. du vendeur LU-9788185931678
Quantité disponible : 1 disponible(s)
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
Etat : New. 2002. Paperback. . . . . . N° de réf. du vendeur V9788185931678
Quantité disponible : 1 disponible(s)
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur FW-9788185931678
Quantité disponible : 2 disponible(s)
Vendeur : Revaluation Books, Exeter, Royaume-Uni
Paperback. Etat : Brand New. 308 pages. 8.43x5.35x0.79 inches. In Stock. N° de réf. du vendeur __8185931674
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Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 20014823
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Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Etat : New. N° de réf. du vendeur 20014823-n
Quantité disponible : 2 disponible(s)
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
Etat : New. 2002. Paperback. . . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9788185931678
Quantité disponible : 1 disponible(s)