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About this book :-
Linear Algebra: Concepts and Methods written by
Martin Anthony, Michele Harvey .
Any student of linear algebra will welcome this textbook, which provides a thorough treatment of this key topic. Blending practice and theory, the book enables the reader to learn and comprehend the standard methods, with an emphasis on understanding how they actually work. At every stage, the authors are careful to ensure that the discussion is no more complicated or abstract than it needs to be, and focuses on the fundamental topics. The book is ideal as a course text or for self-study. Instructors can draw on the many examples and exercises to supplement their own assignments. End-of-chapter sections summarize the material to help students consolidate their learning as they progress through the book.
Book Detail :-
Title: Linear Algebra: Concepts and Methods
Edition:
Author(s): Martin Anthony, Michele Harvey
Publisher: Cambridge University Press
Series:
Year: 2012
Pages: 532
Type: PDF
Language: English
ISBN: 0521279488,9780521279482
Country: UK
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About Author :- The author Martin Anthony is Professor of Mathematics at the London School of Economics (LSE), and Academic Coordinator 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 (with N. L. Biggs) the textbook Mathematics for Economics and Finance: Methods and Modelling (Cambridge University Press, 1996). The author Michele Harvey is lectures at the London School of Economics,where she has taught and developed the linear algebra part of the core foundation course in mathematics for over 20 years. 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.
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Book Contents :-
Linear Algebra: Concepts and Methods written by
Martin Anthony, Michele Harvey
cover the following topics.
'
Preliminaries: before we begin
Sets and set notation
Numbers
Mathematical terminology
Basic algebra
Trigonometry
A little bit of logic
1. Matrices and vectors
2. Systems of linear equations
3. Matrix inversion and determinants
4. Rank, range and linear equations
5. vector spaces
6. Linear independence, bases And dimension
7. Linear transformations and change of basis
8. Diagonalisation
9. Applications of diagonalisation
10. Inner products And orthogonality
11. Orthogonal diagonalisation and its applications
12. Direct sums And projections
13. Complex matrices and vector spaces
Comments on exercises
Index
Note:-
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