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008 150903s2005 xxu| o |||| 0|eng d
020 _a9780387286976
_9978-0-387-28697-6
024 7 _a10.1007/0387286977
_2doi
035 _avtls000330577
039 9 _a201509030723
_bVLOAD
_c201404120507
_dVLOAD
_c201404090248
_dVLOAD
_c201401311346
_dstaff
_y201401291458
_zstaff
_wmsplit0.mrc
_x997
050 4 _aQA1-939
100 1 _aPhillips, George M.
_eautor
_9302428
245 1 0 _aMathematics Is Not a Spectator Sport /
_cby George M. Phillips.
264 1 _aNew York, NY :
_bSpringer New York,
_c2005.
300 _aXIV, 240 p. 68 illus.
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
500 _aSpringer eBooks
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.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780387255286
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/0-387-28697-7
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c278660
_d278660