000			04608cam a2200517Mi 4500
001			ocn873760139
003			OCoLC
005			20190328114807.0
006			m o d
007			cr |n|||||||||
008			140314s2014 enk ob 001 0 eng d
040			_aYDXCP _beng _epn _cYDXCP _dOPELS _dUMI _dN$T _dCOO _dCHVBK _dDEBBG _dOCLCQ _dOCLCF _dEBLCP _dDEBSZ _dOCLCQ _dOCLCO _dU3W _dD6H _dCEF _dOTZ
019			_a871224203 _a875004005
020			_a0123946174 _q(electronic bk.)
020			_a9780123946171 _q(electronic bk.)
020			_z9780123944030 _q(alk. paper)
020			_z0123944031 _q(alk. paper)
035			_a(OCoLC)873760139 _z(OCoLC)871224203 _z(OCoLC)875004005
050		4	_aQA381 _b.W45 2014
072		7	_aMAT _x005000 _2bisacsh
072		7	_aMAT _x034000 _2bisacsh
082	0	4	_a515/.37 _223
100	1		_aWeintraub, Steven H., _eauthor.
245	1	0	_aDifferential forms : theory and practice / _h[electronic resource] _cby Steve Weintraub.
250			_a2nd ed.
264		1	_aOxford, UK : _bElsevier, _c2014.
300			_a1 online resource
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
504			_aIncludes bibliographical references and index.
588	0		_aPrint version record.
505	0		_aHalf Title; Title Page; Copyright; Dedication; Contents; Preface; 1 Differential Forms in Rn, I; 1.0 Euclidean spaces, tangent spaces, and tangent vector fields; 1.1 The algebra of differential forms; 1.2 Exterior differentiation; 1.3 The fundamental correspondence; 1.4 The Converse of Poincar�e's Lemma, I; 1.5 Exercises; 2 Differential Forms in Rn, II; 2.1 1-Forms; 2.2 k-Forms; 2.3 Orientation and signed volume; 2.4 The converse of Poincar�e's Lemma, II; 2.5 Exercises; 3 Push-forwards and Pull-backs in Rn; 3.1 Tangent vectors; 3.2 Points, tangent vectors, and push-forwards.
505	8		_a3.3 Differential forms and pull-backs3.4 Pull-backs, products, and exterior derivatives; 3.5 Smooth homotopies and the Converse of Poincar�e's Lemma, III; 3.6 Exercises; 4 Smooth Manifolds; 4.1 The notion of a smooth manifold; 4.2 Tangent vectors and differential forms; 4.3 Further constructions; 4.4 Orientations of manifolds'227intuitive discussion; 4.5 Orientations of manifolds'227careful development; 4.6 Partitions of unity; 4.7 Smooth homotopies and the Converse of Poincar�e's Lemma in general; 4.8 Exercises; 5 Vector Bundles and the Global Point of View.
505	8		_a5.1 The definition of a vector bundle5.2 The dual bundle, and related bundles; 5.3 The tangent bundle of a smooth manifold, and related bundles; 5.4 Exercises; 6 Integration of Differential Forms; 6.1 Definite integrals in textmathbbRn; 6.2 Definition of the integral in general; 6.3 The integral of a 0-form over a point; 6.4 The integral of a 1-form over a curve; 6.5 The integral of a 2-form over a surface; 6.6 The integral of a 3-form over a solid body; 6.7 Chains and integration on chains; 6.8 Exercises; 7 The Generalized Stokes's Theorem; 7.1 Statement of the theorem.
505	8		_a7.2 The fundamental theorem of calculus and its analog for line integrals7.3 Cap independence; 7.4 Green's and Stokes's theorems; 7.5 Gauss's theorem; 7.6 Proof of the GST; 7.7 The converse of the GST; 7.8 Exercises; 8 de Rham Cohomology; 8.1 Linear and homological algebra constructions; 8.2 Definition and basic properties; 8.3 Computations of cohomology groups; 8.4 Cohomology with compact supports; 8.5 Exercises; Index; A; B; C; D; E; F; G; H; I; L; M; N; O; P; R; S; T; V; W.
520			_aDifferential forms are utilized as a mathematical technique to help students, researchers, and engineers analyze and interpret problems where abstract spaces and structures are concerned, and when questions of shape, size, and relative positions are involved. Differential Forms has gained high recognition in the mathematical and scientific community as a powerful computational tool in solving research problems and simplifying very abstract problems through mathematical analysis on a computer. Differential Forms, 2nd Edition, is a solid resource for students and prof.
650		0	_aDifferential forms.
650		7	_aMATHEMATICS _xCalculus. _2bisacsh
650		7	_aMATHEMATICS _xMathematical Analysis. _2bisacsh
650		7	_aDifferential forms. _2fast _0(OCoLC)fst00893491
650		7	_aDifferentialform _2gnd _0(DE-588)4149772-7
655		4	_aElectronic books.
776	0	8	_iPrint version: _z9780123944030 _z0123944031 _w(DLC) 2013035820
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780123944030
999			_c246890 _d246890