000 01485nam a22002897a 4500
999 _c56345
_d56345
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008 200128b ||||| |||| 00| 0 eng d
028 _a:Donated by Mathematics dept.
082 _a515.63 KRA
100 _aKrasnov, M L
245 _aVector Analysis
_c/ M L Krasnov
260 _aMoscow
_b;Mir Publication
_c1981
300 _a190p.
_c18cm.
365 _bDonated
490 _aUndergraduate texts in mathematics.
505 _a Diffrentialbe manifolds -- Tangent space -- Differential forms -- Concepts of orientation -- Integration on manifolds -- Manifolds-with-boundary -- Intuitive meaning of stokes's theorem -- Wedg product and the definition of the cartan derivative -- Stokes's theorem -- Classical vector analysis -- De rham cohomology -- Differential forms on riemannian manifolds -- Calculations in coordinates.
520 _aThis book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality
650 _aMathematics
650 _aVector analysis.
650 _aANÁLISE VETORIAL.
650 _aVektoranalysis
650 _aDifferential Equations
700 _aKrasnov, M L
700 _aKiselev, A I
700 _aMakarenko, G I
942 _cMDL