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.

Bestandsnummer des Verk�ufers LU-9780883853511

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Bibliografische Details

Titel: A Guide to Advanced Linear Algebra
Verlag: Mathematical Association of America, US
Ver�ffentlichungsdatum: 2011
Sprache: Englisch
ISBN-10: 0883853515
ISBN-13: 9780883853511
Bindung: Hardback
Zustand: New

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Inhaltsangabe

The core of linear algebra is essential to most mathematicians. This book is ideal for graduate students and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives.