Linear Algebra: Volume 2

An Introduction with Concurrent Examples

By: A. G. Hamilton

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Paperback | 16 April 1990

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340 Pages

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23 x 16 x 2.5

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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.

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'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

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Non-Fiction Mathematics Algebra

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Non-Fiction Mathematics Algebra

Preface	p. vii

Gaussian elimination	p. 1
Solutions to simultaneous equations 1	p. 11
Matrices and algebraic vectors	p. 23
Special matrices	p. 33
Matrix inverses	p. 45
Linear independence and rank	p. 55
Determinants	p. 65
Solutions to simultaneous equations 2	p. 81
Vectors in geometry	p. 87
Straight lines and planes	p. 105
Cross product	p. 123

Basic ideas	p. 137
Subspaces of R"	p. 147
Spanning lists, bases, dimension	p. 163
Rank	p. 181
Linear transformations	p. 189
Change of basis	p. 205
Eigenvalues and eigenvectors	p. 215
Diagonalisation 1	p. 229
The dot product	p. 239
Orthogonality	p. 251
Diagonalisation 2	p. 263
Geometry	p. 277
Differential equations	p. 289
Answers to exercises	p. 300
Sample test papers	p. 313
Further reading	p. 325
Index	p. 327
Table of Contents provided by Syndetics. All Rights Reserved.

Linear Algebra: Volume 2

An Introduction with Concurrent Examples

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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