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Mathematical Explorations with MATLAB

Mathematical Explorations with MATLAB


  • Date Published: April 1999
  • availability: Available
  • format: Paperback
  • isbn: 9780521639200

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About the Authors
  • This 1999 book is about the kind of mathematics usually encountered in first year university courses. A key feature of the book is that this mathematics is explored in depth using the popular and powerful package MATLAB. The emphasis is on understanding and investigating the mathematics, and putting it into practice in a wide variety of modelling situations. In the process, the reader will gain some fluency with MATLAB, no starting knowledge of the package being assumed. The range of material is wide: matrices, whole numbers, complex numbers, geometry of curves and families of lines, data analysis, random numbers and simulations, and differential equations form the basic mathematics. This is applied to a large number of investigations and modelling problems, from sequences of real numbers to cafeteria queues, from card shuffling to models of fish growth. All extras to the standard MATLAB package are supplied on the World Wide Web.

    • Based on class tested material
    • No real competition
    • Suitable for students in mathematics or engineering (or any other discipline where mathematical modelling is needed)
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    Reviews & endorsements

    'I can recommend it to students with little experience in computing who want to explore mathematics …' P. Shiu, The Mathematical Gazette

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    Product details

    • Date Published: April 1999
    • format: Paperback
    • isbn: 9780521639200
    • length: 324 pages
    • dimensions: 229 x 152 x 18 mm
    • weight: 0.48kg
    • contains: 60 b/w illus.
    • availability: Available
  • Table of Contents

    Part I. Foundations:
    1. Introduction
    2. Matrices and complex numbers
    3. Whole numbers
    4. Graphs and curves
    5. Representation of data
    6. Probability and random numbers
    7. Differential and difference equations
    Part II. Investigations:
    8. Magic squares
    9. GCDs, pseudoprimes and Miller's test
    10. Graphics: curves and envelopes
    11. Zigzags and fast curves
    12. Sequences of real numbers
    13. Newton-Raphson iteration and fractals
    14. Permutations
    15. Iterations for nonlinear equations
    16. Matrices and solutions of linear systems
    17. Functional interpolations and approximation
    18. Ordinary differential equations
    Part III. Modelling:
    19. Checkout queues: long or short
    20. Fish farming
    21. Epidemics
    22. Dynamics of snowboating
    23. Tides.

  • Authors

    K. Chen, University of Liverpool

    Peter J. Giblin, University of Liverpool

    A. Irving, University of Liverpool

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