000			03075nam a22003735i 4500
001			287355
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007			cr nn 008mamaa
008			150903s2012 xxk| o |||| 0|eng d
020			_a9781447121589 _99781447121589
024	7		_a10.1007/9781447121589 _2doi
035			_avtls000339503
039		9	_a201509030317 _bVLOAD _c201404300401 _dVLOAD _y201402060936 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA241-247.5
100	1		_aMorishita, Masanori. _eautor _9316487
245	1	0	_aKnots and Primes : _bAn Introduction to Arithmetic Topology / _cby Masanori Morishita.
264		1	_aLondon : _bSpringer London, _c2012.
300			_axI, 191 páginas 42 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aUniversitext, _x0172-5939
500			_aSpringer eBooks
505	0		_aPreliminaries - Fundamental Groups and Galois Groups -- Knots and Primes, 3-Manifolds and Number Rings -- Linking Numbers and Legendre Symbols -- Decompositions of Knots and Primes -- Homology Groups and Ideal Class Groups I - Genus Theory -- Link Groups and Galois Groups with Restricted Ramification -- Milnor Invariants and Multiple Power Residue Symbols -- Alexander Modules and Iwasawa Modules -- Homology Groups and Ideal Class Groups II - Higher Order Genus Theory -- Homology Groups and Ideal Class Groups III - Asymptotic Formulas -- Torsions and the Iwasawa Main Conjecture -- Moduli Spaces of Representations of Knot and Prime Groups -- Deformations of Hyperbolic Structures and of p-adic Ordinary Modular Forms.
520			_aThis is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory.  Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These comparisons begin at an elementary level, slowly building up to advanced theories in later chapters. Definitions are carefully formulated and proofs are largely self-contained. When necessary, background information is provided and theory is accompanied  with a number of useful examples and illustrations, making this a useful text for both undergraduates and graduates in the field of knot theory, number theory and geometry.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781447121572
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4471-2158-9 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c287355 _d287355