000			a
999			_c29684 _d29684
008			191121b xxu||||| |||| 00| 0 eng d
020			_a9781482248845
082			_a512.5 _bCOO
100			_aCooperstein, Bruce N.
245			_aAdvanced linear algebra
260			_aBoca Raton _bCRC Press _c2015
300			_axxvii, 594 p. _c24 cm. _bill.
365			_b72.99 _cGBP _d93.50
490			_aTextbooks in mathematics
504			_aIncludes bibliographical references and index.
520			_aAdvanced Linear Algebra, Second Edition takes a gentle approach that starts with familiar concepts and then gradually builds to deeper results. Each section begins with an outline of previously introduced concepts and results necessary for mastering the new material. By reviewing what students need to know before moving forward, the text builds a solid foundation upon which to progress. The new edition of this successful text focuses on vector spaces and the maps between them that preserve their structure (linear transformations). Designed for advanced undergraduate and beginning graduate students, the book discusses the structure theory of an operator, various topics on inner product spaces, and the trace and determinant functions of a linear operator. It addresses bilinear forms with a full treatment of symplectic spaces and orthogonal spaces, as well as explains the construction of tensor, symmetric, and exterior algebras.Featuring updates and revisions throughout, Advanced Linear Algebra, Second Edition:Contains new chapters covering sesquilinear forms, linear groups and groups of isometries, matrices, and three important applications of linear algebraAdds sections on normed vector spaces, orthogonal spaces over perfect fields of characteristic two, and Clifford algebrasIncludes several new exercises and examples, with a solutions manual available upon qualifying course adoptionThe book shows students the beauty of linear algebra while preparing them for further study in mathematics.
650			_aAlgebra
650			_aLinear
942			_2ddc _cBK