000			02872nam a22004815i 4500
001			978-0-387-78215-7
003			DE-He213
005			20161121231210.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780387782157 _9978-0-387-78215-7
024	7		_a10.1007/978-0-387-78214-0 _2doi
050		4	_aQA252.3
050		4	_aQA387
072		7	_aPBG _2bicssc
072		7	_aMAT014000 _2bisacsh
072		7	_aMAT038000 _2bisacsh
082	0	4	_a512.55 _223
082	0	4	_a512.482 _223
100	1		_aStillwell, John. _eauthor.
245	1	0	_aNaive Lie Theory _h[electronic resource] / _cby John Stillwell.
264		1	_aNew York, NY : _bSpringer New York, _c2008.
300			_aXV, 217 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
505	0		_aGeometry of complex numbers and quaternions -- Groups -- Generalized rotation groups -- The exponential map -- The tangent space -- Structure of Lie algebras -- The matrix logarithm -- Topology -- Simply connected Lie groups.
520			_aIn this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).
650		0	_aMathematics.
650		0	_aTopological groups.
650		0	_aLie groups.
650	1	4	_aMathematics.
650	2	4	_aTopological Groups, Lie Groups.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387782140
830		0	_aUndergraduate Texts in Mathematics, _x0172-6056
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-78214-0
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c510009 _d510009