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007			cr |nu|||unuuu
008			210826s2021 si ob 001 0 eng d
010			_a 2021038220
040			_aYDX _beng _cYDX
020			_a9789811243783 _q(ebook)
020			_a9811243786 _q(ebook)
020			_z9789811243776 _q(hbk.)
020			_z9811243778 _q(hbk.)
050		4	_aQC173.6 _b.S27 2021
072		7	_aSCI _x061000 _2bisacsh
072		7	_aMAT _x012030 _2bisacsh
072		7	_aMAT _x003000 _2bisacsh
082	0	4	_a530.11 _223
049			_aMAIN
100	1		_aSasane, Amol. _921140
245	1	2	_aA mathematical introduction to general relativity _h[electronic resource] / _cAmol Sasane.
260			_aSingapore : _bWorld Scientific, _c2021.
300			_a1 online resource (500 p.).
504			_aIncludes bibliographical references and index.
505	0		_aSmooth manifolds -- Co-/Tangent space -- Co-/Tangent bundles -- Tensor fields -- Lorentzian manifolds -- Levi-Civita connection -- Parallel transport -- Geodesics -- Curvature -- Form fields -- Integration -- Minkowski spacetime physics -- Matter -- Field equation -- Black holes -- Cosmology.
520			_a"The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition-theorem-proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena that are counter-intuitive to everyday experiences. In the first part, the differential geometry of smooth manifolds, which is needed to present the spacetime-based gravitation theory, is developed from scratch. Here, many of the illustrating examples are the Lorentzian manifolds which later serve as spacetime models. This has the twofold purpose of making the physics forthcoming in the second part relatable, and the mathematics learnt in the first part less dry. The book uses the modern coordinate-free language of semi-Riemannian geometry. Nevertheless, to familiarise the reader with the useful tool of coordinates for computations, and to bridge the gap with the physics literature, the link to coordinates is made through exercises, and via frequent remarks on how the two languages are related. In the second part, the focus is on physics, covering essential material of the 20th century spacetime-based view of gravity: energy-momentum tensor field of matter, field equation, spacetime examples, Newtonian approximation, geodesics, tests of the theory, black holes, and cosmological models of the universe. Prior knowledge of differential geometry or physics is not assumed. The book is intended for self-study, and the solutions to the (over 200) exercises are included"-- _cPublisher's website.
538			_aMode of access: World Wide Web.
538			_aSystem requirements: Adobe Acrobat Reader.
650		0	_aGeneral relativity (Physics) _xMathematics. _921141
655		0	_aElectronic books. _93294
856	4	0	_uhttps://www.worldscientific.com/worldscibooks/10.1142/12454#t=toc _zAccess to full text is restricted to subscribers.
942			_cEBK
999			_c72741 _d72741