000			nam a22 7a 4500
999			_c29570 _d29570
008			190528b xxu||||| |||| 00| 0 eng d
020			_a9781441931573 _c(pbk)
082			_a511.3 _bMAR
100			_aMarker, David
245			_aModel theory: an introduction
260			_aNew York : _bSpringer, _c2010
300			_aviii, 342 p. : _bill. ; _c23.2 cm.
365			_aEUR _b49.95 _d00
490			_aGraduate texts in mathematics ; 217
504			_aIncludes bibliographical references and index.
520			_aThis book is a modern introduction to model theory that stresses applications to algebra throughout the text. The first half of the book includes classical material on model construction techniques, type spaces, prime models, saturated models, countable models, and indiscernibles and their applications. The author also includes an introduction to stability theory beginning with Morley's Categoricity Theorem and concentrating on omega-stable theories. One significant aspect of this text is the inclusion of chapters on important topics not covered in other introductory texts, such as omega-stable groups and the geometry of strongly minimal sets. The author then goes on to illustrate how these ingredients are used in Hrushovski's applications to diophantine geometry.
650			_aMathematics
650			_aLogic
650			_aSymbolic
650			_aModel theory
942			_2ddc _cBK