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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Etat : New. A thorough development of a topic at the core of mathematics, ideal for graduate students and professional mathematicians. Series: Dolciani Mathematical Expositions. Num Pages: 264 pages, Illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 232 x 157 x 20. Weight in Grams: 482. . 2011. Hardcover. . . . . N° de réf. du vendeur V9780883853511
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Hardcover. Etat : new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780883853511
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Hardback. Etat : New. 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. N° de réf. du vendeur LU-9780883853511
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