Math 210 Bibliography

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.

General

Science References

• Huff, Darrell, How to Lie with Statistics W.W. Norton, 1993. A classic.
  Also: Lying With Statistics: recent examples (2023)

• Tanur, Judith et al., Statistics, A Guide to the Unknows, Wadsworth Publishing Co., 1989. A classical collection of non-technical articles.

• 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 real-life examples.

• 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.

• John P. D'Angelo and Douglas B. West Mathematical Thinking: Problem-Solving and Proofs, Second edition, Prentice Hall (2000). See also: Typos and corrections.
  This has a useful chapter on Probability.

• 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)
  index (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.

Dynamical Systems

• Drazin, P.G., Nonlinear Systems, 1992, Cambridge University Press.

• 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. 569-605.

• 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, Perseus Books.

• Strogatz, Steven H., and Stewart, Ian., "Coupled Oscillators and Biological Synchronization", Scientific American, Dec. 1993, pp. 102-109.

• 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."

• Thieme, Horst R., "Mathematics in Population Biology," Princeton University Press, 2002.

• 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, Springer-Verlag.

• Winfree, Arthur T., When Time Breaks Down, 1980, Princeton University Press.

• 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, 427pp.

• Banks, Robert B., Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics, Princeton University Press, 1999, 290 pp.

• 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

• Ellenberg, Jordan, How Not To Be Wrong, Penguin Press, New York, 2014.

• Murray, J., Mathematical Biology I, Springer-Verlag, New York, 2002.

• Strogatz, Steven H., Sync: the emerging science of Spontaneous Order, Hyperion Press, 2003

Computer References

• Schwartz, Randal L., and Tom Christiansen, Learning Perl (2nd edition), O'Reilly, 1997. Chapter 1 is available online.

• Beginners Intro to Perl by Doug Sheppard
  Part 1,   Part 2,   Part 3,   Part 4,   Part 5,   Part 6
• Perl 5 by Example (available online)

  Learning Perl by Ben Okopnik (from Linux Gazette):
    Part 1   Part 2   Part 3   Part 4   Part 5

• PerlDocs On line material. Use the search box in the upper right corner. This is Valuable, but sometimes difficult for beginners to use.

• related stuff (from Linux Gazette).

JavaScript

• Stein, Lincoln, How to Set Up and Maintain a Web Site (2nd edition), 1997, Addison-Wesley. A reasonable introduction to HTML programming, including Perl, JavaScript, and Java.

• JavaScript 13 Guide and JavaScript 13 Client Reference

• Javascript: The Definitive Guide (3rd edition), by D. Flanagan, 1998, O'Reilly (note the Examples)