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Mathematical Models for Society and Biology
An essential reference on how to use mathematical models to gain insight into compelling problems in biology and contemporary society
Edward Beltrami (Author)
9780124046245
Hardback, published 7 August 2013
288 pages, 25 illustrations
22.9 x 15.1 x 2.3 cm, 0.59 kg
"…this is a very good introduction to mathematical modeling, one of the best that I have seen…he presents his book as a reference or a tool for self-study by mathematically prepared undergraduates who wish to see interesting and unusual applications in the biological and social sciences…This is a delightful book. By design it is not a textbook, but it would be a wonderful accompaniment to any course in modeling." --MMA.org, February 17, 2014
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.
PREFACE 1 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 Oscillations Appendix D: Conditional Expectation
Subject Areas: Biology, life sciences [PS], Mathematical modelling [PBWH], Sociology & anthropology [JH], Society & culture: general [JF]
