000			04096nam a22005175i 4500
001			978-3-540-33791-1
003			DE-He213
005			20181204131310.0
007			cr nn 008mamaa
008			100301s2006 gw | s |||| 0|eng d
020			_a9783540337911 _9978-3-540-33791-1
024	7		_a10.1007/978-3-540-33791-1 _2doi
040			_aISI Library, Kolkata
050		4	_aQA612-612.8
072		7	_aPBPD _2bicssc
072		7	_aMAT038000 _2bisacsh
072		7	_aPBPD _2thema
082	0	4	_a514.2 _223
100	1		_aEckmann, Beno. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aMathematical Survey Lectures 1943–2004 _h[electronic resource] / _cby Beno Eckmann.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006.
300			_aIX, 266 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aL’idée de dimension -- Topologie und Algebra -- Complex-analytic manifolds -- Homotopie et dualité -- Groupes d’homotopie et dualité -- Homotopy and cohomology theory -- Simple homotopy type and categories of fractions -- Some recent developments in the homology theory of groups -- Poincaré duality groups of dimension two are surface groups -- Continuous solutions of linear equations — An old problem, its history, and its solution -- Mathematics: Questions and Answers -- Hurwitz-Radon matrices revisited: From effective solution of the Hurwitz matrix equations to Bott periodicity -- Birth of fibre spaces, and homotopy -- 4-Manifolds, group invariants, and ? 2-Betti numbers -- The Euler characteristic — a few highlights in its long history -- Topology, algebra, analysis — relations and missing links -- to ?2-methods in topology: Reduced ?2-homology, harmonic chains, ?2-Betti numbers -- Die Zukunft der Mathematik Ein Rückblick auf Hilberts programmatischen Vortrag vor 100 Jahren -- Kolmogorov and contemporary mathematics -- Is algebraic topology a respectable field? -- Social choice and topology. A case of pure and applied mathematics.
520			_aThis collection traces the career of Beno Eckmann, whose work ranges across a broad spectrum of mathematical concepts from topology and differential geometry through homological algebra to group theory. One of our most influential living mathematicians, Eckmann has been associated for nearly his entire professional life with the Swiss Federal Institute of Technology Zurich (ETH), as student, lecturer, professor, and professor emeritus. The lectures offer a fascinating account of advances in pure mathematics from 1943 to 2004, as new topics and methods are introduced, and gradually become routine. The penultimate lecture is a personal-historical overview of algebraic topology, delivered in connection with the 40-year jubilee of the Institute for Mathematical Research (FIM), which Eckmann founded at ETH in 1964. In the final article, Eckmann looks beyond pure mathematics to consider the application in concrete fields of intellectual enterprise.
650		0	_aAlgebraic topology.
650		0	_aGlobal differential geometry.
650		0	_aAlgebra.
650		0	_aGroup theory.
650	1	4	_aAlgebraic Topology. _0http://scigraph.springernature.com/things/product-market-codes/M28019
650	2	4	_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022
650	2	4	_aAssociative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11027
650	2	4	_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642070341
776	0	8	_iPrinted edition: _z9783540337904
776	0	8	_iPrinted edition: _z9783540823216
856	4	0	_uhttps://doi.org/10.1007/978-3-540-33791-1
912			_aZDB-2-SMA
942			_cEB
950			_aMathematics and Statistics (Springer-11649)
999			_c425172 _d425172