000			nam a22 4500
999			_c33205 _d33205
008			240428b xxu||||| |||| 00| 0 eng d
020			_a9781470448714
082			_a512.5 _bGRE
100			_aGreenleaf, Frederick P
245			_aLinear Algebra
260			_bAmerican Mathematical Society, _c2020 _aProvidence :
300			_ax, 261 p. ; _bill., _c25 cm
365			_b99.00 _c$ _d86.30
490			_aCourant lecture notes ; _v29
504			_aIncludes index.
520			_aThis book is the first of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise. This first volume re-examines basic notions of linear algebra: vector spaces, linear operators, duality, determinants, diagonalization, and inner product spaces, giving an overview of linear algebra with sufficient mathematical precision for advanced use of the subject. This book provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved. New notions are well motivated and interdisciplinary connections are often provided, to give a more intuitive and complete vision of linear algebra. Computational aspects are fully covered, but the study of linear operators remains the focus of study in this book.
650			_aVector space
650			_aTangent vectors
650			_aStandard basis
650			_aLie algebra
650			_aExterior derivative
650			_aQuotient space
650			_aPolar decomposition
650			_aOrthonormal basis
650			_aInvertible matrix
650			_aInner product space
650			_aEigenspace
650			_aDirect sum
650			_aCharacteristic polynomial
700			_aMarques, Sophie
942			_2ddc _cBK