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003			OSt
005			20240130200249.0
008			231229s9999 xx 000 0 und d
020			_a9780821848609
040			_cIISER BPR
041			_aEng
082			_a515.94 _bRAM _223rd
100			_aRamanan, S.
245		0	_aGlobal Calculus
250			_a1st ed.
260			_aRhode Island: _bAmerican Mathematical Society, _cc2005
300			_axi, 306p. : _bill. ; _c23cm.
440			_aGraduate Studies in Mathematics ; _vVol. 65
520			_aAnalysis, topology and algebra brought new power to geometry, revolutionizing the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on Global Analysis. Also includes bibliography and index.
650			_aMathematics
650			_a Differential Operators
650			_a Analytic Spaces
650			_aDifferential Geometry
942			_cBK _2ddc
947			_a8243.73
948			_a22
999			_c3254 _d3254