000			01594nam a2200265Ia 4500
001			CU10525
008			250306s9999 xx 000 0 und d
020			_a9788185931678
020			_c585
082			_a516.36 KUM
100			_aS. Kumaresan
245		2	_aA Course in Differential Geometry and Lie Groups
260			_aNew Delhi
260			_bHindustan Book Agency
260			_c2017
300			_aix, 294p.
520			_aStarting with a review of geometric ideas in Differential Calculus, the book leads the reader gently to a thorough study of the basic theory of differential manifolds and Lie groups, and ends with an introduction to Riemannian Geometry. The book is written in a conversational tone and is ideal for self-study. All the concepts are well-motivated and explained with concrete examples. The reader will find that Lie groups are used as thematic examples, so that when he finishes the theory of differential manifolds, he has learnt all basic results of the theory of Lie groups except Cartan s theorem. The proof of Frobenius theorem, the geometric interpretation of the Lie bracket, the constant reconciliation of the modern view point with the classical approach, especially in tensor analysis, and the illustration of all concepts in Lie groups in the context of linear Lie groups are noteworthy features of this book.
546			_aEnglish
650			_aAnalytic geometries
650			_aDifferential Geometry
650			_aGeometry
942			_cText Book
999			_c25030 _d25030