Mathematical explorations with MATLAB
Peter J. Giblin, Kan Chen, A. Irving
306 pages, parution le 15/04/1999
Résumé
This 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 should 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.
Summary 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
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Cambridge University Press |
| Auteur(s) | Peter J. Giblin, Kan Chen, A. Irving |
| Parution | 15/04/1999 |
| Nb. de pages | 306 |
| Format | 15,3 x 22,8 |
| EAN13 | 9780521639200 |
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