Practical Applied Mathematics
Practical Applied Mathematics
$87.99
USDDrawing from an exhaustive variety of mathematical subjects, including real and complex analysis, fluid mechanics and asymptotics, this book demonstrates how mathematics can be intelligently applied within the specific context to a wide range of industrial uses. The volume is directed to undergraduate and graduate students.
- Integrated description of mathematics and modelling applied to problems based on work of world leading research group
- Text is littered with large case studies from a wide source of applications
- Detailed treatment of asymptotic methods, not usually found in textbooks
Reviews & endorsements
"The book is extremely pleasant to read, flowing easily through and between topics while still containing significant content. The structure includes frequent use of footnotes and notes in the margin which are a clean way of including some detailed, technical information without breaking up the overall discussion. In addition to the exposition, the exercises provide an equally valuable component of this book."
Rachel Kuske
University of British Columbia
Product details
April 2005Paperback
9780521603690
340 pages
246 × 175 × 23 mm
0.59kg
20 b/w illus. 123 exercises
Available
Table of Contents
- Part I. Modelling Techniques:
- 1. The basics of modelling
- 2. Units, dimensions and dimensional analysis
- 3. Non-dimensionalisation
- 4. Case studies: hair modelling and cable laying
- 5. Case study: the thermistor (1)
- 6. Case study: electrostatic painting (1)
- Part II. Mathematical Techniques:
- 7. Partial differential equations
- 8. Case study: traffic modelling
- 9. Distributions
- 10. Theory of distributions
- 11. Case study: the pantograph
- Part III. Asymptotic techniques:
- 12. Asymptotic expansions
- 13. Regular perturbation expansions
- 14. Case study: electrostatic painting (2)
- 15. Case study: piano tuning
- 16. Boundary layers
- 17. Case study: the thermistor (2)
- 18. 'Lubrication theory' analysis
- 19. Case study: continuous casting of steel
- 20. Lubrication theory for fluids
- 21. Case study: eggs
- 22. Methods for oscillators
- 23. Ray theory and other 'exponential' approaches.
