Manifolds and differential geometry (Record no. 163371)
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| fixed length control field | 00000nam a2200000 a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20251203112547.0 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821887134 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.36 |
| Item number | LEE |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lee, Jeffrey M. |
| 245 ## - TITLE STATEMENT | |
| Title | Manifolds and differential geometry |
| Remainder of title | _ |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Rhode Island |
| Name of publisher, distributor, etc. | American Mathematical Society |
| Date of publication, distribution, etc. | 2012 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv,671 p. |
| Dimensions | 26 cm. |
| Other physical details | PB |
| 490 ## - SERIES STATEMENT | |
| Series statement | graduate studies in mathematics vol.107 |
| 500 ## - GENERAL NOTE | |
| General note | Includes Index |
| 600 ## - SUBJECT ADDED ENTRY--PERSONAL NAME | |
| Numeration | |
| Titles and other words associated with a name | _ |
| 630 ## - SUBJECT ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | geometry, differential |
| 630 ## - SUBJECT ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | topological manifolds |
| 630 ## - SUBJECT ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | reimannian manifolds |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Electronic name | _ |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Host name | _ |
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| -- | Differential geometry began as the study of curves and surfaces using the methods of calculus. In time, the notions of curve and surface were generalized along with associated notions such as length, volume, and curvature. At the same time the topic has become closely allied with developments in topology. The basic object is a smooth manifold, to which some extra structure has been attached, such as a Riemannian metric, a symplectic form, a distinguished group of symmetries, or a connection on the tangent bundle. This book is a graduate-level introduction to the tools and structures of modern differential geometry. Included are the topics usually found in a course on differentiable manifolds, such as vector bundles, tensors, differential forms, de Rham cohomology, the Frobenius theorem and basic Lie group theory. The book also contains material on the general theory of connections on vector bundles and an in-depth chapter on semi-Riemannian geometry that covers basic material about Riemannian manifolds and Lorentz manifolds. An unusual feature of the book is the inclusion of an early chapter on the differential geometry of hypersurfaces in Euclidean space. There is also a section that derives the exterior calculus version of Maxwell's equations. The first chapters of the book are suitable for a one-semester course on manifolds. There is more than enough material for a year-long course on manifolds and geometry |
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| -- | 203149 C 203150 C |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Date acquired | Cost, normal purchase price | Total checkouts | Full call number | Barcode | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library | Central Library | 08/03/2016 | 1056.00 | 516.36 LEE | 203149 | Books | |||||
| Central Library | Central Library | 08/03/2016 | 1056.00 | 516.36 LEE | 203150 | Books |