Sam Howison (University of Oxford)

Practical Applied Mathematics

• Broschiertes Buch

Produktbeschreibung

Used either 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. Topics include distributions, asymptotic methods and the basics of modelling. Applications range from piano tuning to egg incubation and traffic flow.

Produktdetails

• Cambridge Texts in Applied Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 342
• Erscheinungstermin: 21. Dezember 2018
• Englisch
• Abmessung: 244mm x 170mm x 18mm
• Gewicht: 586g
• ISBN-13: 9780521603690
• ISBN-10: 0521603692
• Artikelnr.: 14798328

Inhaltsangabe

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.

Rezensionen

' ... 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