Mathematical Explorations with MATLAB

ISBN-13: 9780521630788 / Angielski / Twarda / 1999 / 322 str.

K. Chen; P. J. Giblin

Opis

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.

Recenzje

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

Spis treści

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.