Mathematical Explorations with MATLAB
Mathematical Explorations with MATLAB
Peter J. Giblin , University of Liverpool
A. Irving , University of Liverpool
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.
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.
- Based on class tested material
- No real competition
- Suitable for students in mathematics or engineering (or any other discipline where mathematical modelling is needed)
Reviews & endorsements
"Anyone who has ever pondered using a sophisticated computer algebra system in a course involving nontrivial mathematics should peruse this book...Those with an applied mathematics orientation should find this work particularly interesting." Choice
Product details
May 1999Hardback
9780521630788
322 pages
229 × 152 × 22 mm
0.64kg
60 b/w illus.
Available
Related links
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.
