Linear Algebra: Concepts and Methods

ISBN-10: 0521279488
ISBN-13: 9780521279482
Edition: 2012
List price: $82.95 Buy it from $47.11
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Description: Any student studying linear algebra will welcome this textbook, which provides a thorough, yet concise, treatment of key topics in university linear algebra courses. The authors, who have extensive teaching experience, provide hundreds of examples  More...

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Book details

List price: $82.95
Copyright year: 2012
Publisher: Cambridge University Press
Publication date: 5/10/2012
Binding: Paperback
Pages: 527
Size: 6.75" wide x 9.50" long x 1.25" tall
Weight: 1.166

Any student studying linear algebra will welcome this textbook, which provides a thorough, yet concise, treatment of key topics in university linear algebra courses. The authors, who have extensive teaching experience, provide hundreds of examples and exercises with a complete list of solutions, to enable students to practise and master the standard methods. Crucially, the authors also give clear explanations of how the methods really work, so that readers can gain a sound understanding of the underlying theory. End-of-chapter sections summarise the material to help students consolidate their learning as they progress through the book. At every stage the authors take care to ensure that the discussion is no more complicated or abstract than it needs to be and focuses only on the fundamental topics. Instructors can draw on the many examples and exercises to supplement their own assignments.

Martin Anthony is Professor of Mathematics at the London School of Economics (LSE) and Academic Co-ordinator for Mathematics on the University of London International Programmes for which LSE has academic oversight. He has over 20 years' experience of teaching students at all levels of university and is the author of four books, including the textbook Mathematics for Economics and Finance: Methods and Modelling (Cambridge University Press, 1996). He also has extensive experience of preparing distance learning materials.

Michele Harvey currently lectures at the London School of Economics, where she has taught linear algebra as part of the first year mathematical methods course for over 20 years, as the course evolved from about 100 students to over 600. She has been praised for her teaching in student surveys and the student newspaper. She is also Chief Examiner for the Advanced Linear Algebra course on the University of London International Programmes and has co-authored with Martin Anthony the study guides for advanced linear algebra and linear algebra on this programme. She has over 40 years' experience of teaching students at various levels of university in London and in New York.

Preface
Preliminaries: before we begin
Matrices and vectors
Systems of linear equations
Matrix inversion and determinants
Rank, range and linear equations
Vector spaces
Linear independence, bases and dimension
Linear transformations and change of basis
Diagonalisation
Applications of diagonalisation
Inner products and orthogonality
Orthogonal diagonalisation and its applications
Direct sums and projections
Complex matrices and vector spaces
Comments on exercises
Index

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