000			01937nam a2200313Ia 4500
003			OSt
005			20250221170721.0
008			241112s9999 xx 000 0 und d
020			_a9780521589567 (pbk.) _c£ 44.99
040			_bENG _cIISER-BPR
041			_aENG
082			_a514.23 _bMAD _223rd
100			_aMadsen, Ib H. _91065
222			_aMathematics
245		0	_aCalculus to cohomology : _bDe Rham cohomology and characteristic classes
250			_a1st ed.
260			_aCambridge: _bCambridge University Press, _cC1997.
300			_avii, 286p. : _bill. ; _c24cm
504			_aIncludes appendices, bibliographic references and subject index.
520			_aDe Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last eleven chapters include Morse theory, index of vector fields, Poincaré duality, vector bundles, connections and curvature, and the book ends with the general Gauss-Bonnet theorem. The text includes well over 150 exercises, and gives the background to the modern developments in gauge theory and geometry in four dimensions, but it also serves as an introductory course in algebraic topology. It will be invaluable to anyone studying cohomology, curvature, and their applications. *Only decent treatment of subject at this level *Thoroughly class tested text with loads of exercises
650			_aMathematics _92570
650			_aTopology _92571
650			_aCohomology theories _92572
700			_aTornehave, Jxrgen _92573
942			_cBK _2ddc
942			_2ddc
947			_a4908.409
948			_a22
999			_c4205 _d4205