000			02948cam a22003738i 4500
001			23495049
003			OSt
005			20260425173357.0
008			240110s2024 flu b 001 0 eng
010			_a 2023057206
020			_a9781032765723 (hbk.)
040			_aDLC _beng _erda _cJKRC
082	0	0	_223 _a512.5 _bLOE.N
100	1		_aLoehr, Nicholas A, _eauthor _939709
245	1	0	_aAdvanced linear algebra / _cby Nicholas A Loehr.
250			_a2nd.
260			_aBoca Raton, FL : _bCRC Press, _c2024.
263			_a2405
300			_axxii, 634 p. ; _c26 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
365			_b91.99 _cPound
504			_aIncludes bibliographical references and index.
520			_a"Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The author begins with chapters introducing basic notation for vector spaces, permutations, polynomials, and other algebraic structures. The following chapters are designed to be mostly independent of each other, so that readers with different interests can jump directly to the topic they want. This is an unusual organization compared to many abstract algebra textbooks, which require readers to follow the order of chapters. Each chapter consists of a mathematical vignette devoted to the development of one specific topic. Some chapters look at introductory material from a sophisticated or abstract viewpoint while others provide elementary expositions of more theoretical concepts. Several chapters offer unusual perspectives or novel treatments of standard results. A wide array of topics is included, ranging from concrete matrix theory (basic matrix computations, determinants, normal matrices, canonical forms, matrix factorizations, and numerical algorithms) to more abstract linear algebra (modules, Hilbert spaces, dual vector spaces, bilinear forms, principal ideal domains, universal mapping properties, and multilinear algebra). The book provides a bridge from elementary computational linear algebra to more advanced, abstract aspects of linear algebra needed in many areas of pure and applied mathematics"-- _cProvided by publisher.
650		0	_aAlgebras, Linear.
650		7	_aMATHEMATICS / Algebra / General. _2bisacsh _939594
650		7	_aMATHEMATICS / Combinatorics. _2bisacsh _939710
650		7	_aSCIENCE / Physics. _2bisacsh
653			_aMathematics
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _c1 _e23 _n0
999			_c614010 _d614010