000			02278nam a22003017a 4500
003			OSt
005			20230715164755.0
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020			_a9781944659899
040			_aNISER LIBRARY _cNISER LIBRARY
041			_aEnglish
082			_a514.7 _bCHE-L
100			_aChern, S. S.
245			_aLectures on differential geometry
260			_aSingapore: _bWorld Scientific, _c2022
300			_ax, 356p. _bpkb
490			_aSeries on university mathematics _vVol. 1 _x1793-1193
504			_aContents: Differentiable Manifolds Multilinear Algebra Exterior Differential Calculus Connections Riemannian Geometry Lie Groups and Moving Frames Complex Manifolds Finsler Geometry Historical Notes Differential Geometry and Theoretical Physics
520			_aThis book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fiber bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specially for this edition by Professor Chern to bring the text into perspectives.
650			_aMATHEMATICS
650			_a DIFFERENTIAL GEOMETRY
650			_aALGEBRA
650			_aMANIFOLDS
650			_aLIE GROUPS
700			_aChen, W. H.
700			_aLam, K. S.
942			_cN _2udc
999			_c34303 _d34303