Differential Geometry (Record no. 60513)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02249nam a22002417a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240708b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319855622 (PB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 514.7 |
| Item number | TUL |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Tu, Loring W. |
| 245 ## - TITLE STATEMENT | |
| Title | Differential Geometry |
| Sub Title | : Connections, Curvature, and Characteristic Classes |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cham |
| Name of publisher | Springer |
| Year of publication | 2017 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xvi, 346p. |
| Other physical details | ill. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate Texts in Mathematics |
| Volume number/sequential designation | 275 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes References (335-336) and Index |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Curvature and Vector Fields <br/>2. Curvature and Differential Forms <br/>3. Geodesics<br/>4. Tools from Algebra and Topology <br/>5. Vector Bundles and Characteristic Classes <br/>6. Principal Bundles and Characteristic Classes |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss' Theorema Egregium and the Gauss–Bonnet theorem. Exercises throughout the book test the reader’s understanding of the material and sometimes illustrate extensions of the theory. Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first chapter, it becomes necessary to understand and manipulate differential forms. A knowledge of de Rham cohomology is required for the last third of the text. Prerequisite material is contained in author's text An Introduction to Manifolds, and can be learned in one semester. For the benefit of the reader and to establish common notations, Appendix A recalls the basics of manifold theory. Additionally, in an attempt to make the exposition more self-contained, sections on algebraic constructions such as the tensor product and the exterior power are included. Differential geometry, as its name implies, is the study of geometry using differential calculus. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Riemannian geometry |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Geodesics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential Forms |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type | Owner (If the Item is Gratis) |
|---|---|---|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | First Floor, Rack No: 31, Shelf No: 6 | 514.7 TUL | 78066 | BOOKS | Gratis by NBHM |