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Linear Algebra

Linear Algebra
An Introduction with Concurrent Examples

Volume 2

$99.99 (X)

textbook
  • Date Published: February 1990
  • availability: Available
  • format: Paperback
  • isbn: 9780521310420

$ 99.99 (X)
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About the Authors
  • 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.

    Reviews & endorsements

    '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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    Product details

    • Date Published: February 1990
    • format: Paperback
    • isbn: 9780521310420
    • length: 340 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.5kg
    • availability: Available
  • Table of Contents

    Preface
    Part I:
    1. Gaussian elimination
    2. Solutions to simultaneous equations I
    3. Matrices and algebraic vectors
    4. Special matrices
    5. Matrix inverses
    6. Linear independence and rank
    7. Determinants
    8. Solutions to simultaneous equations II
    9. Vectors in geometry
    10. Straight lines and planes
    11. Cross product
    Part II:
    12. Basic ideas
    13. Subspaces of Rn
    14. Spanning lists, bases, dimension
    15. Rank
    16. Linear transformations
    17. Change of basis
    18. Eigenvalues and eigenvectors
    19. Diagonalisation I
    20. The dot product
    21. Orthogonality
    22. Diagonalisation II
    23. Geometry
    24. Differential equations
    Answers to exercises
    Sample test paper for part I
    Sample test paper for part II
    Index.

  • Author

    A. G. Hamilton, University of Stirling

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