Modeling with Dynamical Systems
Math 5270

Spring 2000 Reference List
Prof. Peckham

REFERENCES

  1. N. H. McClamroch, State Models of Dynamic Systems, 1980. Excellent source of examples. Bad source of mathematics. (D. Anderson)
  2. Edward Beltrami, Mathematics for Dynamic Modeling, 1987. Quite readable. Lots of examples. (H. Stech)
  3. Walter J. Meyer, Concepts of Mathematical Modeling, 1984. Includes several modeling techniques in addition to ODE's. (QA 401.M15 1984)
  4. J. N. Kapur, Mathematical Modelling, 1988. Chapters 2 and 3 are on ODE modelling. (QA 401.K283 1988)
  5. Cross and Moscardini, Learning the Art of Mathematical Modelling, 1985. (QA 401.C79 1985)
  6. Braun, Coleman and Drew, eds., Differential Equations Models, 1983. (QA 37.2.M6 1983 v1)
  7. Edward A. Bender, An Introduction to Mathematical Modeling, 1978. ODE's in Ch's 8 and 9. (QA 37.2.B44 1978)
  8. Richard Haberman, Mathematical Models, Mechanical Vibrations, Population Dynamics, and Traffic Flow, 1977. (QA 37.2.H2 1977)
  9. Leah Edelstein-Keshet, Mathematical Models in Biology, 1988. (D. Anderson)
  10. Giordano and Weir, A First Course in Mathematical Modeling, 1985. (H. Stech)
  11. Frederic Wan, Mathematical Models and their Analysis, 1989. (H. Stech)
  12. Starfield and Bleloch, Building Models for Conservation and Wildlife Management, 1986. (H. Stech)
  13. Michael Olinick, An Introduction to Mathematical Models in the Social and Life Sciences, 1978. (H. Stech)
  14. Berry, et. al., eds., Teaching and Applying Mathematical Modelling, 1984. (QA 401.T43 1984)
  15. Berry, et. al., eds., Mathematical Modelling Courses, 1987. (QA 401 .M394 1987)
  16. Borelli, Coleman, and Boyce, Differential Equations Laboratory Workbook, 1992.
  17. UMAP Modules 1984 -- 1999? (QA 37.2 .U15x 1984 Some copies in Math Dept. Library.).
  18. Murray J. D., Mathematical Biology, Springer-Verlag, 1993.
  19. Glass and Mackey, From Clocks to Chaos, The Rythms of Life, Princeton University Press, 1988. (H. Stech) (ISBN 0691084955 or 0691084963)
  20. Dreyer T. P., Modelling with Ordinary Differential Equations, CRC Press, 1993. (B. Peckham)
  21. Sandefur, Discrete Dynamical Systems, Clarendon Press, 1990.
  22. Strogatz S. H., Nonlinear Dynamics and Chaos, Addison-Wesley, 1994. (D. Anderson)
  23. Masterton-Gibbons, A Concrete Approach to Mathematical Modelling, Addison-Wesley, 1989. (D. Anderson) (B. Peckham)
  24. Nagle, Saff and Snider Fundamentals of Differential Equations, 5th edition, Benjamin-Cummings, 2000. (B. Peckham) Older editions were used for UMD's Differential Equations I, Math 3380 course.
  25. Aris R., Mathematical Modelling Techniques, Pitman, 1978. (QA 401.A68)
  26. Dym C. L., Principles of Mathematical Modeling, Academic Press, 1980. (QA 407.D9)

JOURNALS

  1. Mathematical and Computer Modelling
  2. Mathematical Biosciences
  3. Journal of Population Biology
  4. Modelling in Industry
  5. Journal of Mathematical Biology