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An Introduction to Differential Manifolds
Jacques Lafontaine
€ 93.28
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Description for An Introduction to Differential Manifolds
Hardback. Num Pages: 395 pages, 49 black & white illustrations, biography. BIC Classification: PBMP. Category: (P) Professional & Vocational. Dimension: 167 x 245 x 27. Weight in Grams: 790.
This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology, degree theory and the Gauss-Bonnet theorem for surfaces. Its ambition is to give solid foundations. In particular, the introduction of abstract notions such as manifolds ... Read more
This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology, degree theory and the Gauss-Bonnet theorem for surfaces. Its ambition is to give solid foundations. In particular, the introduction of abstract notions such as manifolds ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Hardback
Publication date
2015
Condition
New
Weight
790g
Number of Pages
395
Place of Publication
Cham, Switzerland
ISBN
9783319207346
SKU
V9783319207346
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Jacques Lafontaine
Jacques Lafontaine was successively assistant Professor at Paris Diderot University and Professor at the University of Montpellier, where he is presently emeritus. His main research interests are Riemannian and pseudo-Riemannian geometry, including some aspects of mathematical relativity. Besides his personal research articles, he was involved in several textbooks and research monographs.
Reviews for An Introduction to Differential Manifolds
The book gives a detailed introduction to the world of differentiable manifolds and is of possible interested to everybody who wants to acquire a basic knowledge of differential geometry. ... Each chapter concludes with a list of exercises, solutions are given in the appendix. (Volker Branding, zbMATH 1338.58001, 2016)