000			03241nam a22004695i 4500
001			978-0-387-28697-6
003			DE-He213
005			20250710083942.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387286976 _a99780387286976
024	7		_a10.1007/0-387-28697-7 _2doi
082	0	4	_a510 _223
100	1		_aPhillips, George M. _eauthor.
245	1	0	_aMathematics Is Not a Spectator Sport _h[recurso electrónico] / _cby George M. Phillips.
264		1	_aNew York, NY : _bSpringer New York, _c2005.
300			_aXIV, 240 p. 68 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aSquares -- Numbers, Numbers Everywhere -- Fibonacci Numbers -- Prime Numbers -- Choice and Chance -- Geometrical Constructions -- The Algebra of Group.
520			_aMathematics Is Not a Spectator Sport challenges the reader to become an active mathematician. Beginning at a gentle pace, the author encourages the reader to get involved, with discussions of an exciting variety of topics, each placed in its historical context, including: * The surprising achievements of early Babylonian mathematics; * The fascinating arithmetic of continued fractions; * Geometric origins of the Euclidean algorithm; * Infinite sets and the pioneering work of Georg Cantor; * The sieve of Eratosthenes, which is used for finding primes; * Gauss's conjecture about the density of primes; * Special methods for finding really large primes, and a discussion of the famous Riemann hypothesis; * A combinatorial interpretation of the Fibonacci numbers; * A study of properties of the triangle, including one named after Napoleon; * The application of algebraic methods to solve geometrical problems; * The study of symmetries using algebraic methods; * The foundations of group theory; * An algebraic interpretation of the Platonic solids. The chapters are largely self-contained and each topic can be understood independently. However, the author draws many connections between the various topics to demonstrate their interplay and role within the context of mathematics as a whole. Lots of carefully chosen problems are included at the end of each section to stimulate the reader's development as a mathematician. This book is intended for those beginning their study of mathematics at the university level, as well as the general reader who would like to learn more about what it means to "do" mathematics.
650		0	_aMATHEMATICS.
650		0	_aALGEBRA.
650		0	_aGLOBAL ANALYSIS (MATHEMATICS).
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.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387255286
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-28697-7 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56857 _d56857