Modeling differential equations in biology:
Based on a very successful one-semester course taught at Harvard, this text teaches students in the life sciences how to use differential equations to help their research. It needs only a semester's background in calculus. Ideas from linear algebra and partial differential equations that are mo...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2008
|
| Edition: | Second edition |
| Subjects: | |
| Online Access: | BSB01 FHN01 URL des Erstveröffentlichers |
| Summary: | Based on a very successful one-semester course taught at Harvard, this text teaches students in the life sciences how to use differential equations to help their research. It needs only a semester's background in calculus. Ideas from linear algebra and partial differential equations that are most useful to the life sciences are introduced as needed, and in the context of life science applications, are drawn from real, published papers. It also teaches students how to recognize when differential equations can help focus research. A course taught with this book can replace the standard course in multivariable calculus that is more usually suited to engineers and physicists |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xxiii, 500 pages) |
| ISBN: | 9780511811364 |
| DOI: | 10.1017/CBO9780511811364 |
Staff View
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| 520 | |a Based on a very successful one-semester course taught at Harvard, this text teaches students in the life sciences how to use differential equations to help their research. It needs only a semester's background in calculus. Ideas from linear algebra and partial differential equations that are most useful to the life sciences are introduced as needed, and in the context of life science applications, are drawn from real, published papers. It also teaches students how to recognize when differential equations can help focus research. A course taught with this book can replace the standard course in multivariable calculus that is more usually suited to engineers and physicists | ||
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| author | Taubes, Clifford 1954- |
| author_GND | (DE-588)172877423 |
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| contents | 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 |
| ctrlnum | (ZDB-20-CBO)CR9780511811364 (OCoLC)967602549 (DE-599)BVBBV043942943 |
| dewey-full | 570.1/51535 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 570 - Biology |
| dewey-raw | 570.1/51535 |
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| discipline | Biologie Mathematik |
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| edition | Second edition |
| format | Electronic eBook |
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| id | DE-604.BV043942943 |
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| indexdate | 2024-07-10T07:39:18Z |
| institution | BVB |
| isbn | 9780511811364 |
| language | English |
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| spelling | Taubes, Clifford 1954- Verfasser (DE-588)172877423 aut Modeling differential equations in biology Clifford Henry Taubes Second edition Cambridge Cambridge University Press 2008 1 online resource (xxiii, 500 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Based on a very successful one-semester course taught at Harvard, this text teaches students in the life sciences how to use differential equations to help their research. It needs only a semester's background in calculus. Ideas from linear algebra and partial differential equations that are most useful to the life sciences are introduced as needed, and in the context of life science applications, are drawn from real, published papers. It also teaches students how to recognize when differential equations can help focus research. A course taught with this book can replace the standard course in multivariable calculus that is more usually suited to engineers and physicists Mathematisches Modell Differential equations Biology / Mathematical models Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Biomathematik (DE-588)4139408-2 gnd rswk-swf Biomathematik (DE-588)4139408-2 s Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-70843-2 https://doi.org/10.1017/CBO9780511811364 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Taubes, Clifford 1954- Modeling differential equations in biology 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 Mathematisches Modell Differential equations Biology / Mathematical models Differentialgleichung (DE-588)4012249-9 gnd Biomathematik (DE-588)4139408-2 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4139408-2 |
| title | Modeling differential equations in biology |
| title_auth | Modeling differential equations in biology |
| title_exact_search | Modeling differential equations in biology |
| title_full | Modeling differential equations in biology Clifford Henry Taubes |
| title_fullStr | Modeling differential equations in biology Clifford Henry Taubes |
| title_full_unstemmed | Modeling differential equations in biology Clifford Henry Taubes |
| title_short | Modeling differential equations in biology |
| title_sort | modeling differential equations in biology |
| topic | Mathematisches Modell Differential equations Biology / Mathematical models Differentialgleichung (DE-588)4012249-9 gnd Biomathematik (DE-588)4139408-2 gnd |
| topic_facet | Mathematisches Modell Differential equations Biology / Mathematical models Differentialgleichung Biomathematik |
| url | https://doi.org/10.1017/CBO9780511811364 |
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