A Guide to Advanced Linear Algebra (Dolciani Mathematical Expositions, Series Number 44)

Weintraub, Steven H.

ISBN 10: 0883853515 / ISBN 13: 9780883853511

Edité par The Mathematical Association of America, Washington, Dc, 2011

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Détails bibliographiques

• Titre: A Guide to Advanced Linear Algebra (Dolciani Mathematical Expositions, Series Number 44)
• Éditeur: The Mathematical Association of America, Washington, Dc
• Date de parution: 2011
• Langue: anglais
• ISBN à 10 chiffres: 0883853515
• ISBN à 13 chiffres: 9780883853511
• Reliure: Hardcover
• État de l'article: Very Fine

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Synopsis

Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Topics treated in this book include: vector spaces and linear transformations; dimension counting and applications; representation of linear transformations by matrices; duality; determinants and their uses; rational and especially Jordan canonical form; bilinear forms; inner product spaces; normal linear transformations and the spectral theorem; and an introduction to matrix groups as Lie groups. Students in algebra, analysis and topology will all find much of interest and use to them and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives.

À propos de l?auteur

Steven H. Weintraub is Professor of Mathematics at Lehigh University. He is the author of over fifty research papers and this is his ninth book.