Linear Algebra: Pure & Applied - Hardcover

Edgar G Goodaire

 
9789814508360: Linear Algebra: Pure & Applied
Hardcover
ISBN 10: 9814508365 ISBN 13: 9789814508360
Publisher: World Scientific Publishing Company, 2013

Synopsis

This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as Linear Algebra I and Linear Algebra II throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well. As is becoming increasingly the norm, the book begins with the geometry of Euclidean 3-space so that important concepts like linear combination, linear independence and span can be introduced early and in a 'real' context. The book reflects the author's background as a pure mathematician all the major definitions and theorems of basic linear algebra are covered rigorously but the restriction of vector spaces to Euclidean n-space and linear transformations to matrices, for the most part, and the continual emphasis on the system Ax=b, make the book less abstract and more attractive to the students of today than some others. As the subtitle suggests, however, applications play an important role too. Coding theory and least squares are recurring themes. Other applications include electric circuits, Markov chains, quadratic forms and conic sections, facial recognition and computer graphics.

"synopsis" may belong to another edition of this title.

From the Back Cover

This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as "Linear Algebra I" and "Linear Algebra II" throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well. As is becoming increasingly the norm, the book begins with the geometry of Euclidean 3-space so that important concepts like linear combination, linear independence and span can be introduced early and in a "real" context. The book reflects the author's background as a pure mathematician all the major definitions and theorems of basic linear algebra are covered rigorously but the restriction of vector spaces to Euclidean n-space and linear transformations to matrices, for the most part, and the continual emphasis on the system Ax=b, make the book less abstract and more attractive to the students of today than some others. As the subtitle suggests, however, applications play an important role too. Coding theory and least squares are recurring themes. Other applications include electric circuits, Markov chains, quadratic forms and conic sections, facial recognition and computer graphics.

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing Company
Publication date
2013
Language
English
ISBN 10 
9814508365
ISBN 13 
9789814508360
Binding
Hardcover
Edition number
1
Number of pages
732

Other Popular Editions of the Same Title

9789814508377: Linear Algebra: Pure & Applied

Featured Edition

ISBN 10:  9814508373 ISBN 13:  9789814508377
Publisher: WSPC, 2013
Softcover