Mathematical Modelling: Classroom Notes in Applied Mathematics

✍ Scribed by Murray S. Klamkin

• Publisher: Society for Industrial Mathematics
• Year: 1987
• Tongue: English
• Leaves: 353
• Category: Library

✦ Synopsis

Designed for classroom use, this book contains short, self-contained mathematical models of problems in the physical, mathematical, and biological sciences first published in the Classroom Notes section of the SIAM Review from 1975-1985. The problems provide an ideal way to make complex subject matter more accessible to the student through the use of concrete applications. Each section has extensive supplementary references provided by the editor from his years of experience with mathematical modelling.

✦ Table of Contents

Mathematical Modelling:Classroom Notes in Applied Mathematics......Page 1
Contents......Page 10
Introduction......Page 16
MATHEMATICAL MODELLING:DIE CUTTING FOR A FRESNEL LENS*......Page 17
General Supplementary References......Page 24
Part I Physical and Mathematical Sciences......Page 28
1. Mechanics......Page 30
2. Heat Transfer and Diffusion......Page 75
3. Traffic Flow......Page 107
4. Electrical Networks......Page 123
5. Communication and Coding......Page 135
6. Graph Theory and Applications......Page 139
7. Applied Geometry......Page 143
8. Numerical Analysis......Page 185
9. Mathematical Economics......Page 217
10. Optimization (Including linear, nonlinear, dynamic, and geometric programming, control theory, games and other miscellaneous topics)......Page 241
11. Stochastic Models......Page 267
12. Miscellaneous......Page 313
Part II Life Sciences......Page 324
1. Population Models......Page 326
2. Medical Models......Page 336
Appendix......Page 349