000			02087cam a2200277 i 4500
001			22389884
005			20250619124752.0
008			220115s2022 njua b 001 0 eng
020			_a9789811245022
040			_aCSL _beng _cCSL
041			_2eng _aeng
084			_aB316 R2 _qCSL
100	1		_aGallier, Jean _eauthor. _9450962
245	1	0	_aHomology, cohomology, and sheaf cohomology for algebraic topology, algebraic geometry, and differential geometry
260			_aNew Jersey : _bWorld Scientific, _c2022.
300			_axvii, 780p. _b: col. ill. _c; 24 cm
504			_aIncludes bibliographical references (pages 765-767) and index.
520			_a"For more than thirty years the senior author has been trying to learn algebraic geometry. In the process he discovered that many of the classic textbooks in algebraic geometry require substantial knowledge of cohomology, homological algebra, and sheaf theory. In an attempt to demystify these abstract concepts and facilitate understanding for a new generation of mathematicians, he along with co-author wrote this book for an audience who is familiar with basic concepts of linear and abstract algebra, but who never has had any exposure to the algebraic geometry or homological algebra. As such this book consists of two parts. The first part gives a crash-course on the homological and cohomological aspects of algebraic topology, with a bias in favor of cohomology. The second part is devoted to presheaves, sheaves, Cech cohomology, derived functors, sheaf cohomology, and spectral sequences. All important concepts are intuitively motivated and the associated proofs of the quintessential theorems are presented in detail rarely found in the standard texts"-- _cProvided by publisher.
650		0	_aHomology theory. _9813178
650		0	_aSheaf theory. _9813179
650		0	_aAlgebraic topology
650		0	_a Algebraic Geometry _9813180
650		0	_aDifferential Geometry
700	1		_aQuaintance, Jocelyn, _eco-author. _9810076
942			_2CC _cTEXL _hB316 R2 _n0
999			_c1431892 _d1431892