Description
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.
A thorough development of a topic at the core of mathematics, ideal for graduate students and professional mathematicians.
About the Author
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.
Reviews
... this book is excellent, Weintraub keeps the math flowing, appropriately directional and justified, and it is a rare occasion when he passes on including the detailed proof. There are some times when a part of the proof is not included, but it is rare and generally inconsequential. If you have any current or potential need for understanding the theory of linear algebra, this is a book that you need to have on your easy access shelf." - Charles Ashbacher, Journal of Recreational Mathematics
"... This book can be warmly recommended to any student of pure mathematics requiring a precise and concise treatment of all the important and "well-known" results of linear algebra. The student will be grateful for the direct route that it follows and for the occasional explanations of the "right" way to understand the material." - Rabe von Randow, Zentrallblatt
Book Information
ISBN 9780883853511
Author Steven H. Weintraub
Format Hardback
Page Count 264
Imprint Mathematical Association of America
Publisher Mathematical Association of America
Weight(grams) 490g
Dimensions(mm) 235mm * 157mm * 20mm
A thorough development of a topic at the core of mathematics, ideal for graduate students and professional mathematicians.
About the Author
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.
Reviews
... this book is excellent, Weintraub keeps the math flowing, appropriately directional and justified, and it is a rare occasion when he passes on including the detailed proof. There are some times when a part of the proof is not included, but it is rare and generally inconsequential. If you have any current or potential need for understanding the theory of linear algebra, this is a book that you need to have on your easy access shelf." - Charles Ashbacher, Journal of Recreational Mathematics
"... This book can be warmly recommended to any student of pure mathematics requiring a precise and concise treatment of all the important and "well-known" results of linear algebra. The student will be grateful for the direct route that it follows and for the occasional explanations of the "right" way to understand the material." - Rabe von Randow, Zentrallblatt
Book Information
ISBN 9780883853511
Author Steven H. Weintraub
Format Hardback
Page Count 264
Imprint Mathematical Association of America
Publisher Mathematical Association of America
Weight(grams) 490g
Dimensions(mm) 235mm * 157mm * 20mm
