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Linear algebra done right /

This 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 ha...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Axler, Sheldon Jay
Formato: Libro
Idioma:Inglés
Publicado: New York : Springer-Verlag, 1996.
Colección:Undergraduate texts in mathematics
Temas:
Acceso en línea:Click here for the electronic version *** UAM access only
Click here for the electronic version, from off-UAM *** authorized users only
Click to view the book via NET Library *** UAM access only
About this textbook

MARC

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099 |a QA184  |a .A96 1997 
100 1 |a Axler, Sheldon Jay. 
245 1 0 |a Linear algebra done right /  |c Sheldon Axler. 
260 |a New York :  |b Springer-Verlag,  |c 1996. 
300 |a xv, 238 p. :  |b ill. ;  |c 24 cm. 
440 0 |a Undergraduate texts in mathematics 
500 |a Includes indexes. 
505 0 0 |g Ch. 1.  |t Vector Spaces --  |g Ch. 2.  |t Finite-Dimensional Vector Spaces --  |g Ch. 3.  |t Linear Maps --  |g Ch. 4.  |t Polynomials --  |g Ch. 5.  |t Eigenvalues and Eigenvectors --  |g Ch. 6.  |t Inner-Product Spaces --  |g Ch. 7.  |t Operators on Inner-Product Spaces --  |g Ch. 8.  |t Operators on Complex Vector Spaces --  |g Ch. 9.  |t Operators on Real Vector Spaces --  |g Ch. 10.  |t Trace and Determinant. 
520 0 |a This 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. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus, the text starts by discussing vector spaces, linear independence, span, basis, 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. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text. 
650 0 |a Álgebra lineal 
650 4 |a Álgebra lineal 
852 0 0 |b PSE  |c MAIN  |h QA184  |i A96 1997  |x Schulich Science & Engineering 
856 4 1 |u http://148.206.53.230/recursos/link2.php?ID=4308  |z Click here for the electronic version *** UAM access only 
856 4 1 |u http://148.206.53.230/recursos/link2.php?ID=4308  |z Click here for the electronic version, from off-UAM *** authorized users only 
856 4 1 |u http://148.206.53.230/recursos/link2.php?ID=4308  |z Click to view the book via NET Library *** UAM access only 
856 4 1 |z About this textbook  |u http://www.springeronline.com/sgw/cda/frontpage/0,11855,4-10043-22-1513468-detailsPage%253Dppmmedia%257CaboutThisBook%257CaboutThisBook,00.html 
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902 |a Guadalupe Guevara y Navarro 
949 |a Biblioteca UAM Iztapalapa  |b Colección General  |c QA184 A9.55