000			01977 a2200241 4500
003			OSt
005			20240716175708.0
008			240716b |||||||| |||| 00| 0 eng d
020			_a9780000989024
040			_aICTS-TIFR
050			_aQA641 .S65
100			_aSteeb, Willi-Hans
245			_aProblems and solutions in differential geometry, lie series, differential forms, relativity, and applications
250			_aIndian edition
260			_bWorld Scientific Publishing Co Pte Ltd., _aSingapore: _c[c2020]
300			_a284 p.
505			_aChapter 1: Curves, Surfaces and Manifolds. Chapter 2: Vector Fields, Lie Series and Lie Algebras. Chapter 3: Metric Tensor Fields. Chapter 4: Differential Forms and Applications. Chapter 5: Lie Derivative and Applications.
520			_aThis volume presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy-to-digest manner, with the materials of the volume being self-contained. In particular, curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrix-valued differential forms, Maurer–Cartan form, and the Lie derivative are covered. Readers will find useful applications to special and general relativity, Yang–Mills theory, hydrodynamics and field theory. Besides the solved problems, each chapter contains stimulating supplementary problems and software implementations are also included. The volume will not only benefit students in mathematics, applied mathematics and theoretical physics, but also researchers in the field of differential geometry.--- Summary provided by the publisher
650			_aGeometry, Differential.
650			_aDifferential forms.
856			_uhttps://books.google.co.in/books?id=BbdQDwAAQBAJ&newbks=0&printsec=frontcover#v=onepage&q&f=false _yGoogle books (partial view)
942			_2lcc _cBK
999			_c35116 _d35116