Math 210 Bibliography
This is not a typical course that works systematically through a text.
Instead we will look at a few case studies: topics treated in depth
using a variety of tools.
As a result, there are far too many references for you to buy --
or even look at -- all of them. Depending on your background and
interests, some may be too elementary, some too difficult, some too
boring, some completely fascinating. Books you already own may be
adequate resources for a few of the topics.
- Huff, Darrell,
How to Lie with Statistics W.W. Norton, 1993. A classic.
- Tanur, Judith et al., Statistics, A Guide to the Unknows,
Wadsworth Publishing Co., 1989. A classical collection of
- Freedman, David, Pisani, Robert, and Purves, Roger,
Statistics (3rd edition), W.W. Norton, 1998. Very elementary
(it assumes no calculus and weak algebra), but full of ideas and examples.
- Larsen, Richard J., and Marx, Morris L., An Introduction to
Mathematical Statistics and Its Applications, Third Edition,
Prentice-Hall, 2001. This assumes knowledge of calculus. Lots of
- Dartmouth's course Chance
has lots of material related to the probability and statistics aspects
of this course. For instance, see their
Books and Articles.
- M. Grinstead, Charles M. and J. Laurie Snell,
Introduction to Probability Second Edition, American
Math. Society, 1997. Also available on the web:
Introduction to Probability, PDF files and resources. This text
is for a first course in probability. It uses calculus.
The chapters are also available as separate pdf files.
Chapter 1, Discrete Probability Distributions (pdf)
Chapter 2, Continuous Probability Distributions (pdf)
Chapter 3, Combinatorics (pdf)
Chapter 4, Conditional Probability (pdf)
Chapter 5, Distributions and Densities (pdf)
Chapter 6. Expected Value and Variance (pdf)
Chapter 7. Sums of Random Values (pdf)
Chapter 8. Law of Large Numbers (pdf)
Chapter 9. Central Limit Theorem (pdf)
Chapter 10, Generating Functions (pdf)
Chapter 11, Markov Chains (pdf)
Chapter 12, Random Walks (pdf)
answers - odd (pdf)
- Feller, William, Probability, Vol. 1 (3rd edition), John
Wiley, 1968. A classic. While it is more advanced, it should be
accessible to those who try.
- The basic linear algebra we'll need is in many books --
including an appropriate chapter is some book you probably already own.
Below is one standard text.
- Strang, Gilbert, Linear Algebra and its Applications,
Academic Press. A good text.
Secret Codes Using Number Theory
- Gardner, Martin, "Mathematical Games: A new kind of cypher ... ,"
Scientific American, August 1977, pp.120-124. An introduction to
public key encryption. This article was very influential.
- Niven, I., Zuckerman, H., & Montgomery, H, An Introduction to
the Theory of Numbers, 5th edition,John Wiley & Sons, 1991.
One of the best standard texts.
- Drazin, P.G., Nonlinear Systems, 1992, Cambridge University
- Jordan, D.W., and Smith, P., Nonlinear Ordinary Differential
Equations (3rd edition), 1999, Oxford University Press.
- Kuramoto,Y., and Nishikawa, Ikuko, "Statistical Macrodynamics of
Large Dynamical Systems. Case of a Phase Transition in Oscillator
Communities", Journal of Statistical Physics, Vol. 49, 1987, pp.
- Ravasz, Z. Neda, Vicsek, T., Brechet, Y., Barabasi, A.L., "Physics
of the Rhythmic Applause," manuscript, Feb. 2000 (this is an expanded
version of the shorter article in Nature) .
- Strogatz, Steven H., Nonlinear Dynamics and Chaos, 1995,
- Strogatz, Steven H., and Stewart, Ian., "Coupled Oscillators and
Biological Synchronization", Scientific American, Dec. 1993,
- Taubes, Clifford Henry, Modeling Differential Equations in
Biology, Prentice-Hall, 2001. Assumes only basic calculus. The
author writes "... my goal is to introduce to future experimental
biologists some potentially useful tools and modes of thought."
- Williams, Richard J., and Martinez, Neo D., "Simple rules yield
complex food webs", Nature , Vol. 404, 9 March 2000, pp. 180-183.
- Winfree, Arthur T., The Geometry of Biological Time, 1990,
- Winfree, Arthur T., When Time Breaks Down, 1980, Princeton
- Anderson, Roy, and Robert May, Infectious Diseases of
Humans, Oxford Univ. Press, Oxford, 1992
- Banks, Robert B., Towing Icebergs, Falling Dominoes, and Other
Adventures in Applied Mathematics, Princeton University Press, 1998,
- Banks, Robert B., Slicing Pizzas, Racing Turtles, and Further
Adventures in Applied Mathematics, Princeton University Press, 1999,
- Barabasi, Albert-Laszlo, Linked: The New Science of
Networks, Perseus Publishing, 2002
- COMAP, For All Practical Purposes, W.H. Freeman & Co. This
would be a good text for a course just like this one, but for students
with less mathematical background. You will probably enjoy reading
lots in this book.
- Edelstein-Keshet, L., Mathematical Models in Biology,
McGraw-Hill, New York, 1988
- Murray, J., Mathematical Biology I, Springer-Verlag, New
- Strogatz, Steven H., Sync: the emerging science of Spontaneous
Order, Hyperion Press, 2003
- Stein, Lincoln, How to Set Up and Maintain a Web Site (2nd
edition), 1997, Addison-Wesley. A reasonable introduction to HTML
The Definitive Guide (3rd edition), by D. Flanagan, 1998, O'Reilly
(note the Examples)