Linear Algebra Done Right - Couverture souple

Axler, Sheldon

Couverture souple

ISBN 10 : 0387982582 ISBN 13 : 9780387982588

Editeur : Springer-Verlag New York Inc., 2010

Synopsis

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.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 0387982582
• ISBN 13: 9780387982588
• Reliure: Broché
• Numéro d'édition: 2
• Nombre de pages: 251
• Coordonnées du fabricant: non disponible
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