000			03490nam a22005055i 4500
001			978-0-8176-4685-1
003			DE-He213
005			20251006084438.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780817646851
020			_a99780817646851
024	7		_a10.1007/978-0-8176-4685-1 _2doi
082	0	4	_a510.9 _223
100	1		_aKleiner, Israel. _eeditor.
245	1	2	_aA History of Abstract Algebra _h[electronic resource] / _cedited by Israel Kleiner.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2007.
300			_aXVI, 168p. 24 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aHistory of Classical Algebra -- History of Group Theory -- History of Ring Theory -- History of Field Theory -- History of Linear Algebra -- Emmy Noether and the Advent of Abstract Algebra -- A Course in Abstract Algebra Inspired by History -- Biographies of Selected Mathematicians.
520			_aPrior to the nineteenth century, algebra meant the study of the solution of polynomial equations. By the twentieth century algebra came to encompass the study of abstract, axiomatic systems such as groups, rings, and fields. This presentation provides an account of the intellectual lineage behind many of the basic concepts, results, and theories of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared unsolvable by classical means. A major theme of the approach in this book is to show how abstract algebra has arisen in attempts to solve some of these classical problems, providing context from which the reader may gain a deeper appreciation of the mathematics involved. Key features: * Begins with an overview of classical algebra * Contains separate chapters on aspects of the development of groups, rings, and fields * Examines the evolution of linear algebra as it relates to other elements of abstract algebra * Highlights the lives and works of six notables: Cayley, Dedekind, Galois, Gauss, Hamilton, and especially the pioneering work of Emmy Noether * Offers suggestions to instructors on ways of integrating the history of abstract algebra into their teaching * Each chapter concludes with extensive references to the relevant literature Mathematics instructors, algebraists, and historians of science will find the work a valuable reference. The book may also serve as a supplemental text for courses in abstract algebra or the history of mathematics.
650		0	_aMATHEMATICS.
650		0	_aALGEBRA.
650		0	_aFIELD THEORY (PHYSICS).
650		0	_aGROUP THEORY.
650		0	_aMATRIX THEORY.
650		0	_aMATHEMATICS_{DOLLAR}XHISTORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aHISTORY OF MATHEMATICS.
650	2	4	_aALGEBRA.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
650	2	4	_aCOMMUTATIVE RINGS AND ALGEBRAS.
650	2	4	_aFIELD THEORY AND POLYNOMIALS.
650	2	4	_aLINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817646844
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4685-1 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59758 _d59758