000			01524nam a22002177a 4500
003			OSt
005			20240521113534.0
008			240513b |||||||| |||| 00| 0 hin d
020			_a9781409294962
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	0	_a512.64 _bWIN-L
100	1		_aWinitzki, Sergei
245	1	0	_aLinear algebra via exterior products
260			_aUnited States : _bLulu Press, _c2010.
300			_avi, 275p.
520			_aThis is a pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the array-based formalism of vector and matrix calculations. This book makes extensive use of the exterior (anti-commutative, "wedge") product of vectors. The coordinate-free formalism and the exterior product, while somewhat more abstract, provide a deeper understanding of the classical results in linear algebra. Without cumbersome matrix calculations, this text derives the standard properties of determinants, the Pythagorean formula for multidimensional volumes, the formulas of Jacobi and Liouville, the Cayley-Hamilton theorem, the Jordan canonical form, the properties of Pfaffians, as well as some generalizations of these results.
650		0	_aLinear algebra
856			_uhttps://users.metu.edu.tr/ozan/Math261-262Textbook.pdf _3Electronic Version
856			_uhttps://www.goodreads.com/book/show/17999515-linear-algebra-via-exterior-product?ref=nav_sb_ss_1_13#CommunityReviews _3Reviews
942			_2udc _cBK
999			_c35001 _d35001