Linear algebra done right

Sheldon Axler

252 pages, parution le 04/09/2002 (2^eme édition)

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Résumé

This 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.

Contents

Vector Spaces
Finite-Dimensional Vector Spaces
Linear Maps
Polynomials
Eigenvalues and Eigenvectors
Inner-Product Spaces
Operators on Inner-Product Spaces
Operators on Complex Vector Spaces
Operators on Real Vector Spaces
Trace and Determinant
Symbol Index
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Sheldon Axler
Parution	04/09/2002
Édition	2^eme édition
Nb. de pages	252
Format	19,3 x 23,5
Couverture	Broché
Poids	500g
Intérieur	Noir et Blanc
EAN13	9780387982588
ISBN13	978-0-387-98258-8