000			01413nam a2200181 4500
001			20043372
010			_a 2017047297
020			_a9780000989024
082	0	0	_a516.36 _bSTE/P
100	1		_aSteeb, W.-H
245	1	0	_aProblems and solutions in differential geometry, Lie series, differential forms, relativity, and applications
260			_aNew Jersey _bWorld scientific _c2020
300			_axi, 284 p.
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, matrixvalued 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.
650		0	_aGeometry, Differential
650		0	_aDifferential forms
942			_cBK
999			_c64753 _d64753