000 02099cam a2200277 a 4500
001 0000061335
003 0001
008 970411s1997 nyua 001 0 eng
020 _a9788184895322
035 _9(DLC) 97016664
040 _aDLC
_cDLC
_dDLC
082 0 0 _a512 .5
_221
084 _a512.5
_bAXL-L
100 1 _aAxler, Sheldon Jay.
245 1 0 _aLinear algebra done right
_h[Book] /
_cSheldon Axler.
250 _a2nd ed.
260 _aNew Delhi :
_bSpringer (India),
_cc1997.
300 _axv, 251 p. :
_bill. ;
_c24 cm.
440 0 _aUndergraduate texts in mathematics
500 _aIncludes indexes.
500 _a"Springer International Edition"
520 _aThis text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.
521 _aAll.
650 0 _aAlgebras, Linear.
852 _p44473
_9907.36
_h512.5 AXL-L
_bGround Floor
_dBooks
_t1
_q1-New
_aJZL-CUI
999 _c70374
_d70374