NOTES AND READINGS

OCEAN 539B SPRING 2005

General References

Comments
  • Edelstein-Keshet, L. (1988) Mathematical Models in Biology
 A readable survey of a wide variety of topics in Mathematical Biology. This text describes biological models from a mathematical perspective, showing how to analyze the models for stability, stable age- and stage distributions, and similar properties. It is a good first choice for learning mathematical techniqes.
  • Okubo, A. (1980) Diffusion and Ecological Problems: Mathematical Models
 This book is also relatively readable. It focuses more specifically on spatially explicit modeling of ecological dynamics that involve movement of organisms, or substances that affect ogranisms (e.g. pheromones), through mechanisms such as active behavior, molecular diffusion, or turbulent transport. Okubo includes informative discussions of both individual-based models and population-level models.
  • Murray, J. D.(1989) Mathematical Biology
 This book covers a broad range of mathematical biology subjects. Relative to Edelstein-Keshet's book, this one assumes a higher level of mathematical background, and goes into more detail on some subjects. A good follow-up for biological readers that would like more information.
  • Keener, J.and J. Sneyd (1998) Mathematical physiology
 A book focusing on modeling physiological processes such as transmembrane tranport, neurophysiology, cardiac dynamics, etc. I saw an early draft of the book but haven't seen the final version. It is in the UW library.
  • Roughgarden, J. (1998) Primer of Ecological Theory
This is a textbook intended for ecology classes based on matlab. it has some useful exercises and codes.
  • Batchelor, G.K. (1967) An Introduction to Fluid Dynamics.
    Cambridge Univ. Press, Cambridge.
 A classic but dense "introductory" book that has a huge amount of useful informaition in it. Plan to spend a considerable amount of time per page (or to consult with an expert) to understand the material, but once you do you'll have a solid foundation in fluid mechanics.
  • Papoulis, A. (1984) Probability, Random Variables, and Stochastic Processes. McGraw-Hill. 576pp.
 Like Batchelor, an extremely useful book, that covers a broad range of topics in a fairly terse style.
  • Lighthill, M.J. 1975. Mathematical Biofluiddynamics. Society for Industrial and Applied Mathematics, Philadelphia, PA.
 A readable treatment of the fluid dynamics of aquatic locomotion, by one of the fathers of biological fluid mechanics.
   

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