01640cam a2200229 a 4500001000700000003002100007005001700028008004100045020001800086040001600104082002100120100002800141245004800169250001200217260003400229300004500263490003900308500002200347505030700369520071300676650002101389C26541ISI Library, Kolkata20170718123431.0970411s1997 nyua 001 0 eng a9788184895322 aISI Library04a512.5223bAx9691 aAxler, Sheldon,eauthor10aLinear algebra done right /cSheldon Axler. a2nd ed. aNew Delhi :bSpringer,c2013. axv, 251 pages :billustrations ;c24 cm.0 aUndergraduate texts in mathematics aIncludes indexes.0 a1. Vector spaces --
2. Finite-dimensional vector spaces --
3. Linear maps --
4. Polynomials --
5. Eigenvalues and eigenvectors --
6. Inner-product spaces --
7. Operators on inner-product spaces --
8. Operators on complex vector spaces --
9. Operators on real vector spaces --
10. Trace and determinant. aThis text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: 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 (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. 0aLinear algebras.