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Undergraduate Mathematical Modeling Textbooks

 

  • Diran Basmadjian, The Art of Modeling in Science and Engineering, Chapman & Hall / CRC, 1999.This is the big book of modeling.  This might be too big and expensive for a textbook for a class, but might be useful as a supplemental reference.  The sheer size of the book is impressive.

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  • Edelstein-Keshet, Mathematical Models in Biology, McGraw Hill

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  • Edward Beltrami, Mathematics of Dynamic Modeling (2 ed), Academic Press, 1998.

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  • Bender, An Introduction to Mathematical Modeling, Wiley

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  • Brown and Rothery, Models in Biology,  Wiley.

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  • Connally, Hughes-Hallett, Gleason, et. al. Functions Modeling Chage (A Preparation for Calculus) John Wiley and Sons, 1998.    Reform precalculus text. Not necessarily a good modeling book, but could be used with a modeling emphasis in mind.

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  • John L. Casti, Reality Rules: I, John Wiley and Sons, 1992.

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  • COMAP, For All Practical Purposes Mathematical Literacy in Today's World (5 ed), W.H. Freeman, 2000.
    Contemporary approach to a liberal arts mathematics, dealing with math in a real world context. The book takes a look at society and pulls the math IN.

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  • Edwards, Dilwyn & Hamson, Mike, Guide to Mathematical Modeling,'' CRC Press, 1989.

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  • Fowler, A.C. Mathematical Models in the Applied Sciences, Cambridge Press, 1997.
    Advanced undergraduate or graduate level text.

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  • Friedman and Littman, Industrial Mathematics,  SIAM.

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  • Giordano and Weir. A First Course in Mathematical Modeling

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  • Giordano, Weir and Fox, A First Course in Mathematical Modeling (2 ed), Brooks and Cole, 1997.   Sophomore/Junior level book.  Could use Ordinary Differential Equations as a prerequisite, or possibly a co-requisite.

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  • Haberman, Mathematical Models, Prentice-Hall.

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  • MacCluer, Charles R. Industrial Mathematics (Modeling in Industry, Science, and Government, Prentice Hall, 2000.   This text is for upper level students (Junior or above) and has a wide variety of topics. The last chapter is on report writing, which would be helpful for a project driven course.

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  • Meerschaert, Mathematical Modeling, Academic Press.

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  • Michael Mesterton-Gibbons, A Concrete Approach to Mathematical Modelling, John Wiley and Sons, 1995.   Sophmore/Junior level text.  Should have Ordinary Differential Equations as a prerequisite.

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  • Mooney and Swift, A Course in Mathematical Modeling,  MAA.

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  • Murray, Mathematical Biology,Springer Verlag.

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  • Fred S. Roberts, Discrete Mathematical Models. This text has models using graph theory, game theory, Markov chains, and some stuff on decision making. The applications are in social science, biology and ecology, information networks, etc.

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  • Ross, Introduction to Probability Models.

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  • Anthony Starfield, Karl Smith and Andrew Bleloch, How To Model It, Problem Solving For The Computer Age, McGraw-Hill.

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  • Thomas Svobodny, Mathematical Modeling for Industry and Engineering, Prentice Hall, 1998.   This is an upper level text for at least sophomores, but more likely juniors and higher. There is a fairly large list of topics including stochastic models, ODE, and even PDE models.

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