A Course in Differential Geometry and Lie Groups - Couverture souple

Livre 1 sur 33: Texts and Readings in Mathematics

Kumaresan, S.

 
9788185931678: A Course in Differential Geometry and Lie Groups

Synopsis

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.

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À propos de l?auteur

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.

Autres éditions populaires du même titre

9788185931296: Course in Differential Geometry and Lie Groups

Edition présentée

ISBN 10 :  8185931291 ISBN 13 :  9788185931296
Editeur : Hindustan Book Agency, 2002
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