000			03696nam a22004695i 4500
001			u371870
003			SIRSI
005			20160812080152.0
007			cr nn 008mamaa
008			100927s2011 xxu| s |||| 0|eng d
020			_a9781441972545 _9978-1-4419-7254-5
040			_cMX-MeUAM
050		4	_aQA611-614.97
082	0	4	_a514 _223
100	1		_aNaber, Gregory L. _eauthor.
245	1	0	_aTopology, Geometry and Gauge fields _h[recurso electrónico] : _bFoundations / _cby Gregory L. Naber.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2011.
300			_aXX, 437 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aTexts in Applied Mathematics, _x0939-2475 ; _v25
505	0		_aContents: Preface -- Physical and geometrical motivation 1 Topological spaces -- Homotopy groups -- Principal bundles -- Differentiable manifolds and matrix Lie groups -- Gauge fields and Instantons. Appendix. References. Index.
520			_aThis is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics. The author’s point of view is that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The goal is to weave together rudimentary notions from the classical gauge theories of physics and the topological and geometrical concepts that became the mathematical models of these notions. The reader is assumed to have a minimal understanding of what an electromagnetic field is, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, and a solid background in real analysis and linear algebra with some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2)-connections on S4 with instanton number -1. This second edition of the book includes a new chapter on singular homology theory and a new appendix outlining Donaldson’s beautiful application of gauge theory to the topology of compact, simply connected , smooth 4-manifolds with definite intersection form. Reviews of the first edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics…Naber combines a deep knowledge of his subject with an excellent informal writing style.” (NZMS Newsletter) "...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories." (ZENTRALBLATT FUER MATHEMATIK) “The book is well written and the examples do a great service to the reader. It will be a helpful companion to anyone teaching or studying gauge theory …” (Mathematical Reviews)
650		0	_aMathematics.
650		0	_aGeometry.
650		0	_aTopology.
650		0	_aQuantum theory.
650	1	4	_aMathematics.
650	2	4	_aTopology.
650	2	4	_aGeometry.
650	2	4	_aElementary Particles, Quantum Field Theory.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441972538
830		0	_aTexts in Applied Mathematics, _x0939-2475 ; _v25
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-7254-5
596			_a19
942			_cLIBRO_ELEC
999			_c199750 _d199750