Mathematical Explorations with MATLAB

K. Chen (University of Liverpool), Peter J. Giblin (University of Liverpool), A. Irving (University of Liverpool)

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English

Cambridge University Pres
14 June 1999

Mathematics & Sciences; Mathematics; Mathematical & statistical software

Mathematical Explorations with MATLAB examines the mathematics most frequently encountered in first-year university courses.

A key feature of the book is its use of MATLAB, a popular and powerful software package. The book's emphasis is on understanding and investigating the mathematics by putting the mathematical tools into practice in a wide variety of modeling situations. Even readers who have no prior experience with MATLAB will gain fluency.

The book covers a wide range of material:

matrices, whole numbers, complex numbers, geometry of curves and families of lines, data analysis, random numbers and simulations, and differential equations from the basic mathematics.

These lessons are applied to a rich variety of investigations and modeling 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.

By: K. Chen (University of Liverpool), Peter J. Giblin (University of Liverpool), A. Irving (University of Liverpool)
Imprint: Cambridge University Pres
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm, Spine: 18mm
Weight: 480g
ISBN: 9780521639200
ISBN 10: 0521639204
Publication Date: 14 June 1999
Audience: College/higher education , Primary
Format: Other merchandise
Publisher's Status: Active

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.