Read more
Klappentext This book is explores the mathematics encountered in first year university courses using the popular package MATLAB. Zusammenfassung This 1999 book is about the mathematics encountered in first year university courses. A key feature of the book is that this mathematics is explored using the popular package MATLAB. The emphasis is on understanding and investigating the mathematics! and putting it into practice in a wide variety of modelling situations. Inhaltsverzeichnis 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.
