Mathematical Models for Society and Biology


  • Edward Beltrami, State University of New York, Stony Brook, U.S.A.

Mathematical Models for Society and Biology, 2e, is a useful resource for researchers, graduate students, and post-docs in the applied mathematics and life science fields. Mathematical modeling is one of the major subfields of mathematical biology. A mathematical model may be used to help explain a system, to study the effects of different components, and to make predictions about behavior. Mathematical Models for Society and Biology, 2e, draws on current issues to engagingly relate how to use mathematics to gain insight into problems in biology and contemporary society. For this new edition, author Edward Beltrami uses mathematical models that are simple, transparent, and verifiable. Also new to this edition is an introduction to mathematical notions that every quantitative scientist in the biological and social sciences should know. Additionally, each chapter now includes a detailed discussion on how to formulate a reasonable model to gain insight into the specific question that has been introduced.
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Book information

  • Published: June 2013
  • ISBN: 978-0-12-404624-5


"Beltrami presents this book for students in math-heavy fields to hone their modeling skills. Each chapter begins with examples of social or biological systems with similar mathematical structure, then constructs a mathematical model with a focus on making the model as complex as necessary, but no more so."--Reference & Research Book News, October 2013

Table of Contents

PREFACE1 Crabs and Criminals 2 It Isn’t Fair 3. While the City Burns 4. Clean Streets 5. A Bayesian Take on Colorectal Screening, Baseball, Fund Managers, and a Murder 6. What Are the Odds of That? 7 It’s Normal Not to Be Normal 8. Boom and Bust 9. Viral Outbreaks and Blood Clots 10. Red Tides and What Ever Happened to the Red Squirrel? 11. Spatial Patterns: The Cat’s Tail and Spreading Slime 12. The Coil of Life Afterthoughts on Modeling Appendix A: The Normal Density Appendix B: Poisson Events Appendix C: Nonlinear Equations and OscillationsAppendix D: Conditional Expectation