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Essays in Linear Algebra

Essays in Linear Algebra

£40.00

  • Date Published: April 2012
  • availability: In stock
  • format: Hardback
  • isbn: 9780980232769

£ 40.00
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About the Authors
  • The renowned mathematician and educator Gilbert Strang presents a collection of expository papers on the theory and applications of linear algebra, accompanied by video lectures on http://ocw.mit.edu. The essays are diverse in scope and range from purely theoretical studies on deep fundamental principles of matrix algebra to discussions on the teaching of calculus and an examination of the mathematical foundations of aspects of computational engineering. One thing these essays have in common is the way that they express both the importance and the beauty of the subject, as well as the author's passion for mathematics. This text will be of practical use to students and researchers across a whole spectrum of numerate disciplines. Furthermore, this collection provides a unique perspective on mathematics and the communication thereof as a human endeavour, complemented as these essays are by commentary from the author regarding their provenance and the reaction to them.

    • The essays cover a wide variety of topics in linear algebra
    • The essays are accompanied by author's commentary
    • Video lectures at http://ocw.mit.edu complement the text
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    Reviews & endorsements

    '… this delightful book is a most welcome addition to the library of any mathematician with an interest in applied linear analysis.' Vicentiu D. Radulescu, Zentralblatt MATH

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    Product details

    • Date Published: April 2012
    • format: Hardback
    • isbn: 9780980232769
    • length: 340 pages
    • dimensions: 238 x 198 x 21 mm
    • weight: 0.76kg
    • availability: In stock
  • Table of Contents

    Part I. Essays in Linear Algebra:
    1. Perfect bases for the four subspaces
    2. Four subspaces from a graph
    3. My favourite matrix
    4. The ultimate in echelon forms
    5. Diagonalizing a symmetric matrix
    6. Pascal's triangle in three matrices
    7. Can the factors be sparse?
    8. The eigenvalues of AB + BA
    9. Factoring into very special matrices
    10. Toeplitz matrices and circulants
    11. The joint spectral radius of A and B
    12. Banded matrices have remarkable inverses
    Part II. Essays in Calculus:
    13. The fundamental theorem of calculus
    14. The great function of calculus
    15. Thin strips and small triangles in calculus
    16. Chaos in Newton's method
    17. Optical illusions for y = sin n
    Part III. Essays in Applied Mathematics:
    18. The principles of applied mathematics
    19. A minimum equals a maximum
    20. Aiming directly at the solution
    21. A chair through a door
    Part IV. Essays in Computational Science:
    22. Eight cosine transforms
    23. The ideas behind finite elements
    24. The Strang–Fix conditions
    25. Wavelets in music and television
    26. Scaling functions lead to wavelets
    27. Old and new splitting methods
    An essay about books
    List of publications
    Index.

  • Author

    Gilbert Strang, Massachusetts Institute of Technology
    Gilbert Strang is a professor of mathematics at the Massachusetts Institute of Technology, where his research focuses on analysis, linear algebra and PDEs. In addition, he is the author of many textbooks and his service to the mathematics community is extensive, having spent time as President of SIAM, Chair of the Joint Policy Board for Mathematics as well as membership of various other committees and boards. The awards that Professor Strang has received for his research and teaching include the Chauvenet Prize (1976), the Award for Distinguished Service (SIAM, 2003), the Graduate School Teaching Award (MIT, 2003) and the Von Neumann Prize Medal of the U.S. Association for Computational Mechanics (2005), among others. He is a Member of the National Academy of Sciences, a Fellow of the American Academy of Arts and Sciences and an Honorary Fellow of Balliol College, Oxford.

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