Basic Linear Algebra (Springer Undergraduate Mathematics Series) - Softcover

Blyth, Thomas S.

Softcover

ISBN 10: 3540761225 ISBN 13: 9783540761228

Publisher: Springer, 2000

Synopsis

Basic Linear Algebra is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises. The book explains the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations, and complex numbers. Linear equations are treated via Hermite normal forms, which provides a successful and concrete explanation of the notion of linear independence. Another highlight is the connection between linear mappings and matrices, leading to the change of basis theorem which opens the door to the notion of similarity. The authors are well known algebraists with considerable experience of teaching introductory courses on linear algebra to students at St Andrews. This book is based on one previously published by Chapman and Hall, but it has been extensively updated to include further explanatory text and fully worked solutions to the exercises that all 1st year students should be able to answer.

About this title

Review

From the reviews:

"It embodies a beautiful, concise and precise treatment of the subject, with succint numerical and algebra worked examples at the right points... an excellent textbook which is also eminently suitable for self-study..." Zentralblatt MATH

"This is the second edition of a text for first-year students which covers the main themes of linear algebra in a succinct and readable way. ... The book is well-written, with a very high standard of proof-reading, and there are full answers to all the exercises ... . It should be welcomed as an excellent introductory textbook which could be used either for self-study and to complement a course of lectures." (Gerry Leversha, The Mathematical Gazette, Vol. 87 (509), 2003)

Synopsis

Aimed at first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises, this text explains the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. It assumes very little prior knowledge. Features include treating linear equations via Hermite normal forms and a description of the connection between linear mappings and matrices.

Edition details

• Publisher: Springer
• Publication date: 2000
• Language: English
• ISBN 10: 3540761225
• ISBN 13: 9783540761228
• Binding: Paperback
• Number of pages: 216