000			02569nam a22003858i 4500
001			CR9780511526077
003			UkCbUP
005			20200124160233.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090406s1995||||enk o ||1 0|eng|d
020			_a9780511526077 (ebook)
020			_z9780521467551 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA243 _b.P45 1995
082	0	0	_a512/.74 _220
100	1		_aPfister, Albrecht, _eauthor.
245	1	0	_aQuadratic forms with applications to algebraic geometry and topology / _cAlbrecht Pfister.
246	3		_aQuadratic Forms with Applications to Algebraic Geometry & Topology
264		1	_aCambridge : _bCambridge University Press, _c1995.
300			_a1 online resource (viii, 179 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v217
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aCh. 1. The Representation Theorems of Cassels -- Ch. 2. Multiplicative Quadratic Forms -- Ch. 3. The Level of Fields, Rings, and Topological Spaces -- Ch. 4. Hilbert's Homogeneous Nullstellensatz for p-fields and Applications to Topology -- Ch. 5. Tsen-Lang Theory for [actual symbol not reproducible] -- Ch. 6. Hilbert's 17th Problem -- Ch. 7. The Pythagoras Number -- Ch. 8. The u-invariant -- Ch. 9. Systems of Quadratic Forms -- Ch. 10. The Level of Projective Spaces.
520			_aThis volume has grown out of lectures given by Professor Pfister over many years. The emphasis here is placed on results about quadratic forms that give rise to interconnections between number theory, algebra, algebraic geometry and topology. Topics discussed include Hilbert's 17th problem, the Tsen-Lang theory of quasi algebraically closed fields, the level of topological spaces and systems of quadratic forms over arbitrary fields. Whenever possible proofs are short and elegant, and the author's aim was to make this book as self-contained as possible. This is a gem of a book bringing together thirty years' worth of results that are certain to interest anyone whose research touches on quadratic forms.
650		0	_aForms, Quadratic.
650		0	_aGeometry, Algebraic.
650		0	_aTopology.
776	0	8	_iPrint version: _z9780521467551
830		0	_aLondon Mathematical Society lecture note series ; _v217.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511526077
999			_c517772 _d517770