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Englisch
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Beschreibung
Drawing on a very successful one-semester course at Harvard, this text teaches students in the life sciences how to use differential equations. It is enriched with illustrative examples from real papers. Necessary ideas from mathematics are introduced as and when needed, and in the context of applications.
Drawing on a very successful one-semester course at Harvard, this text teaches students in the life sciences how to use differential equations. It is enriched with illustrative examples from real papers. Necessary ideas from mathematics are introduced as and when needed, and in the context of applications.
Inhaltsverzeichnis
1. Introduction; 2. Exponential growth with appendix on Taylor's theorem; 3. Introduction to differential equations; 4. Stability in a one component system; 5. Systems of first order differential equations; 6. Phase plane analysis; 7. Introduction to vectors; 8. Equilibrium in two component, linear systems; 9. Stability in non-linear systems; 10. Non-linear stability again; 11. Matrix notation; 12. Remarks about Australian predators; 13. Introduction to advection; 14. Diffusion equations; 15. Two key properties of the advection and diffusion equations; 16. The no trawling zone; 17. Separation of variables; 18. The diffusion equation and pattern formation; 19. Stability criteria; 20. Summary of advection and diffusion; 21. Traveling waves; 22. Traveling wave velocities; 23. Periodic solutions; 24. Fast and slow; 25. Estimating elapsed time; 26. Switches; 27. Testing for periodicity; 28. Causes of chaos; Extra exercises and solutions; Index.
Details
Erscheinungsjahr: | 2014 |
---|---|
Rubrik: | Wissenschaften |
Medium: | Taschenbuch |
ISBN-13: | 9780521708432 |
ISBN-10: | 0521708435 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Taubes, Clifford Henry |
Hersteller: | Cambridge University Press |
Maße: | 254 x 178 x 29 mm |
Von/Mit: | Clifford Henry Taubes |
Erscheinungsdatum: | 21.07.2014 |
Gewicht: | 0,978 kg |
Inhaltsverzeichnis
1. Introduction; 2. Exponential growth with appendix on Taylor's theorem; 3. Introduction to differential equations; 4. Stability in a one component system; 5. Systems of first order differential equations; 6. Phase plane analysis; 7. Introduction to vectors; 8. Equilibrium in two component, linear systems; 9. Stability in non-linear systems; 10. Non-linear stability again; 11. Matrix notation; 12. Remarks about Australian predators; 13. Introduction to advection; 14. Diffusion equations; 15. Two key properties of the advection and diffusion equations; 16. The no trawling zone; 17. Separation of variables; 18. The diffusion equation and pattern formation; 19. Stability criteria; 20. Summary of advection and diffusion; 21. Traveling waves; 22. Traveling wave velocities; 23. Periodic solutions; 24. Fast and slow; 25. Estimating elapsed time; 26. Switches; 27. Testing for periodicity; 28. Causes of chaos; Extra exercises and solutions; Index.
Details
Erscheinungsjahr: | 2014 |
---|---|
Rubrik: | Wissenschaften |
Medium: | Taschenbuch |
ISBN-13: | 9780521708432 |
ISBN-10: | 0521708435 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Taubes, Clifford Henry |
Hersteller: | Cambridge University Press |
Maße: | 254 x 178 x 29 mm |
Von/Mit: | Clifford Henry Taubes |
Erscheinungsdatum: | 21.07.2014 |
Gewicht: | 0,978 kg |
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