000			03419nam a22005055i 4500
001			978-0-387-68445-1
003			DE-He213
005			20250710084006.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780387684451 _a99780387684451
024	7		_a10.1007/978-0-387-68445-1 _2doi
082	0	4	_a510 _223
100	1		_aGelca, Răzvan. _eauthor.
245	1	0	_aPutnam and Beyond _h[recurso electrónico] / _cby Răzvan Gelca, Titu Andreescu.
264		1	_aNew York, NY : _bSpringer US, _c2007.
300			_aXVI, 798 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aMethods of Proof -- Algebra -- Real Analysis -- Geometry and Trigonometry -- Number Theory -- Combinatorics and Probability.
520			_aPutnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. Key features of Putnam and Beyond * Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. * Each chapter systematically presents a single subject within which problems are clustered in every section according to the specific topic. * The exposition is driven by more than 1100 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. * Complete solutions to all problems are given at the end of the book. The source, author, and historical background are cited whenever possible. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for self-study by undergraduate and graduate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.
650		0	_aMATHEMATICS.
650		0	_aALGEBRA.
650		0	_aGLOBAL ANALYSIS (MATHEMATICS).
650		0	_aCOMBINATORICS.
650		0	_aGEOMETRY.
650		0	_aNUMBER THEORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aMATHEMATICS, GENERAL.
650	2	4	_aALGEBRA.
650	2	4	_aANALYSIS.
650	2	4	_aGEOMETRY.
650	2	4	_aNUMBER THEORY.
650	2	4	_aCOMBINATORICS.
700	1		_aAndreescu, Titu. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387257655
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-68445-1 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c57972 _d57972