Practical Applied Mathematics

Modelling, Analysis, Approximation

AvSam Howison

Häftad, Engelska, 2005

Del 38 i serien Cambridge Texts in Applied Mathematics

838 kr

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Beskrivning

Drawing from a wide variety of mathematical subjects, this book aims to show how mathematics is realised in practice in the everyday world. Dozens of applications are used to show that applied mathematics is much more than a series of academic calculations. Mathematical topics covered include distributions, ordinary and partial differential equations, and asymptotic methods as well as basics of modelling. The range of applications is similarly varied, from the modelling of hair to piano tuning, egg incubation and traffic flow. The style is informal but not superficial. In addition, the text is supplemented by a large number of exercises and sideline discussions, assisting the reader's grasp of the material. Used either in the classroom by upper-undergraduate students, or as extra reading for any applied mathematician, this book illustrates how the reader's knowledge can be used to describe the world around them.

Produktinformation

Utgivningsdatum:2005-03-24
Mått:175 x 246 x 23 mm
Vikt:590 g
Format:Häftad
Språk:Engelska
Serie:Cambridge Texts in Applied Mathematics
Antal sidor:340
Förlag:Cambridge University Press
ISBN:9780521603690

Utforska kategorier

Tillämpad matematik inom Naturvetenskap och teknik

Recensioner i media

' … an entertainingly written book. The effective use of a large number of case studies, shows how mathematics can be used to help address serious real-world problems. this is demonstrated to such an extent that even the most sceptical engineer would have to concede that mathematics can be useful!' Mathematics Today

Innehållsförteckning

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.