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Linear Algebra: Volume 2 : An Introduction with Concurrent Examples - A. G. Hamilton

Linear Algebra: Volume 2

An Introduction with Concurrent Examples

Paperback

Published: 16th April 1990
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This is a readable introduction to linear algebra, starting at an elementary level. The book is intended for use in courses for both students of pure mathematics who may subsequently pursue more advanced study in the area, and for students who require linear algebra and its applications in other subjects. Throughout the text, emphasis is placed on applications of the subject in preference to more theoretical aspects. Worked examples are provided on every left hand page to accompany the text on the right hand page, allowing the reader to follow the text uninterrupted. To be most effective, the book should be worked through and learned from, using numerous exercises with solutions. For first year undergraduates who need a basic grounding in linear algebra and students of mathematics, physics and engineering, this is an excellent introductory text. This is an expanded version of the author's previous book, A First Course in Linear Algebra.

'The book is clearly directed at students who have had little or no experience of solving linear equations at school. Moreover, it is intended for people who do not find learning mathematics easy. There are no short cuts, or bribes in the form of interesting applications, but the student who is motivated to learn about systems of linear equations, and willing to work through the exercises, will have an excellent opportunity to acquire proficiency and understanding.' The Times Higher Education Supplement

Prefacep. vii
Gaussian eliminationp. 1
Solutions to simultaneous equations 1p. 11
Matrices and algebraic vectorsp. 23
Special matricesp. 33
Matrix inversesp. 45
Linear independence and rankp. 55
Determinantsp. 65
Solutions to simultaneous equations 2p. 81
Vectors in geometryp. 87
Straight lines and planesp. 105
Cross productp. 123
Basic ideasp. 137
Subspaces of R"p. 147
Spanning lists, bases, dimensionp. 163
Rankp. 181
Linear transformationsp. 189
Change of basisp. 205
Eigenvalues and eigenvectorsp. 215
Diagonalisation 1p. 229
The dot productp. 239
Orthogonalityp. 251
Diagonalisation 2p. 263
Geometryp. 277
Differential equationsp. 289
Answers to exercisesp. 300
Sample test papersp. 313
Further readingp. 325
Indexp. 327
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521310420
ISBN-10: 0521310423
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 340
Published: 16th April 1990
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.5 x 15.24  x 1.91
Weight (kg): 0.45