Functional differential geometry/ (Record no. 179836)
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000 -LEADER | |
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fixed length control field | 00351nam a2200133Ia 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 0262019345 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | CUS |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 516.36 |
Item number | SUS/F |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Sussman, Gerald Jay |
245 #0 - TITLE STATEMENT | |
Title | Functional differential geometry/ |
Statement of responsibility, etc. | Gerald Jay Sussman |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc. | London: |
Name of publisher, distributor, etc. | The MIT Press, |
Date of publication, distribution, etc. | 2013-07-05. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 228p. |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | 2.1 Coordinate Functions 12<br/>2.2 Manifold Functions 14<br/>3 Vector Fields and One-Form Fields 21<br/>3.1 Vector Fields 21<br/>3.2 Coordinate-Basis Vector Fields 26<br/>3.3 Integral Curves 29<br/>3.4 One-Form Fields 32<br/>3.5 Coordinate-Basis One-Form Fields 34<br/>4 Basis Fields 41<br/>4.1 Change of Basis 44<br/>4.2 Rotation Basis 47<br/>4.3 Commutators 48<br/>5 Integration 55<br/>5.1 Higher Dimensions 57<br/>5.2 Exterior Derivative 62<br/>5.3 Stokes's Theorem 65<br/>viii Contents<br/>5.4 Vector Integral Theorems 67<br/>6 Over a Map 71<br/>6.1 Vector Fields Over a Map 71<br/>6.2 One-Form Fields Over a Map 73<br/>6.3 Basis Fields Over a Map 74<br/>6.4 Fullbacks and Pushforwards 76<br/>7 Directional Derivatives 83<br/>7.1 Lie Derivative 85<br/>7.2<br/>Covariant Derivative 93<br/>7.3 Parallel Transport 104<br/>7.4 Geodesic Motion 111<br/>8 Curvature 115<br/>8.1 ExpLIcit Transport 116<br/>8.2 Torsion 124<br/>8.3 Geodesic Deviation 125<br/>8.4 Bianchi Identities 129<br/>9 Metrics 133<br/>9.1 Metric Compatibility 135<br/>9.2 Metrics and Lagrange Equations 137<br/>9.3 General Relativity 144<br/>10 Hodge Star and Electrodynamics 153<br/>10.1 The Wave Equation 159<br/>10.2 Electrodynamics 160<br/>11 Special Relativity 167<br/>11.1 Lorentz Transformations 172<br/>11.2 Special Relativity Frames 179<br/> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | General Books |
Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Koha item type |
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Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/08/2016 | 516.36 SUS/F | P34847 | 29/08/2016 | General Books |