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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2013
      December 2012
      ISBN:
      9781139520034
      9781107033566
      9781107675223
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.93kg, 458 Pages
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.83kg, 452 Pages
    • Subjects:
      Mathematics, Algebra
    You may already have access via personal or institutional login
  • Selected: Digital
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    Subjects:
    Mathematics, Algebra

    Book description

    Many books in linear algebra focus purely on getting students through exams, but this text explains both the how and the why of linear algebra and enables students to begin thinking like mathematicians. The author demonstrates how different topics (geometry, abstract algebra, numerical analysis, physics) make use of vectors in different ways and how these ways are connected, preparing students for further work in these areas. The book is packed with hundreds of exercises ranging from the routine to the challenging. Sketch solutions of the easier exercises are available online.

    Reviews

    'This book will be very useful for mathematics students. Also, mathematics teachers will find many clever ideas to transmit to students.'

    Julio Benitez Source: Mathematical Reviews

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    Contents

    References
    References
    [1] A. A., Albert and Benjamin, Muckenhoupt. On matrices of trace zero. Michigan Mathematical Journal, 4 (1957) 1–3.
    [2] Aristotle, . Nicomachean Ethics, translated by Martin, Ostwald. Macmillan, New York, 1962.
    [3] S., Axler. Down with determinants. American Mathematical Monthly, 102 (1995) 139–154.
    [4] S., Axler. Linear Algebra Done Right, 2nd edn. Springer, New York, 1997.
    [5] George, Boole. A Treatise on Differential Equations. Macmillan, Cambridge, 1859.
    [6] George, Boole. A Treatise on the Calculus of Finite Differences. Macmillan, London, 1860.
    [7] Robert, Burton. The Anatomy of Melancholy. Henry Cripps, Oxford, 1621.
    [8] I., Calvino. Invisible Cities, translated by W., Weaver of Le Città Invisibili. Harcourt, Brace, Jovanovich, New York, 1972.
    [9] Lewis, Carroll. Through the Looking-Glass, and What Alice Found There. Macmillan, London, 1872.
    [10] Lewis, Carroll. A Tangled Tale. Macmillan, London, 1885. Available on Gutenberg.
    [11] G., Chrystal. Algebra. Adam and Charles Black, Edinburgh, 1889. There is a Dover reprint.
    [12] Arthur Conan, Doyle. The Sign of Four. Spencer Blackett, London, 1890.
    [13] Charles, Darwin. Letter to Asa Gray of 20 April 1863. Available at www.darwinproject.ac.uk/entry-4110.
    [14] Patrice, Dubré. Louis Pasteur. Johns Hopkins University Press, Baltimore, MD, 1994.
    [15] Freeman, Dyson. Turning points: a meeting with Enrico Fermi. Nature, 427 (22 January 2004) 297.
    [16] Albert, Einstein. Considerations concerning the fundamentals of theoretical physics. Science, 91 (1940) 487–492.
    [17] J. H., Ewing and F. W., Gehring, editors. Paul Halmos, Celebrating Fifty Years of Mathematics. Springer, New York, 1991.
    [18] P. R., Halmos. Finite-Dimensional Vector Spaces, 2nd edn. Van Nostrand, Princeton, NJ, 1958.
    [19] Y., Katznelson and Y. R., Katznelson. A (Terse) Introduction to Linear Algebra. American Mathematical Society, Providence, RI, 2008.
    [20] D. E., Knuth. The Art of Computer Programming, 3rd edn. Addison-Wesley, Reading, MA, 1997.
    [21] J. C., Maxwell. A Treatise on Electricity and Magnetism. Oxford University Press, Oxford, 1873. There is a Cambridge University Press reprint.
    [22] J. C., Maxwell. Matter and Motion. Society for Promoting Christian Knowledge, London, 1876. There is a Cambridge University Press reprint.
    [23] L., Mirsky. An Introduction to Linear Algebra. Oxford University Press, Oxford, 1955. There is a Dover reprint.
    [24] R. E., Moritz. Memorabilia Mathematica. Macmillan, New York, 1914. Reissued by Dover as On Mathematics and Mathematicians.
    [25] T., Muir. The Theory of Determinants in the Historical Order of Development. Macmillan, London, 1890. There is a Dover reprint.
    [26] A., Pais. Subtle is the Lord: The Science and the Life of Albert Einstein. Oxford University Press, New York, 1982.
    [27] A., Pais. Inward Bound. Oxford University Press, Oxford, 1986.
    [28] G., Strang. Linear Algebra and Its Applications, 2nd edn. Harcourt Brace Jovanovich, Orlando, FL, 1980.
    [29] Jonathan, Swift. Gulliver's Travels. Benjamin Motte, London, 1726.
    [30] Olga, Taussky. A recurring theorem on determinants. American Mathematical Monthly, 56 (1949) 672–676.
    [31] Giorgio, Vasari. The Lives of the Artists, translated by J. C., and Bondanella, P.. Oxford World's Classics, Oxford, 1991.
    [32] James E., Ward III. Vector spaces of magic squares. Mathematics Magazine, 53 (2) (March 1980) 108–111.
    [33] H., Weyl. Symmetry. Princeton University Press, Princeton, NJ, 1952.

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