| Description |
1 online resource (xiii, 266 pages) : illustrations |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Front Cover; Mathematical Models for Society and Biology; Copyright; Dedication; Contents; Preface to the Second Edition; Acknowledgments; Chapter 1 -- Crabs and Criminals; 1.1 BACKGROUND; 1.2 TRANSITIONS BETWEEN STATES; 1.3 SOCIAL MOBILITY; 1.4 ABSORBING CHAINS; 1.5 RECIDIVISM; 1.6 CONCLUDING THOUGHTS; Chapter 2 -- It Isn't Fair; 2.1 BACKGROUND; 2.2 MANPOWER SCHEDULING; 2.3 APPORTIONMENT; 2.4 AN INHERITANCE IN THE TALMUD AND MADOFF'S SCHEME; 2.5 A FEW MATHEMATICAL DETAILS; 2.6 CONCLUDING THOUGHTS; Chapter 3 -- While the City Burns; 3.1 BACKGROUND; 3.2 POISSON EVENTS. |
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3.3 THE INVERSE SQUARE-ROOT LAW3.4 THE ENCUMBRANCE OF AN URBAN GRID; 3.5 EQUILIBRIUM STATES; 3.6 HOW BUSY ARE THE FIRE COMPANIES?; 3.7 OPTIMAL DEPLOYMENT OF FIRE COMPANIES; 3.8 CONCLUDING THOUGHTS; Chapter 4 -- Clean Streets; 4.1 BACKGROUND; 4.2 EULER TOURS; 4.3 STREET SWEEPING; 4.4 VEHICLE SCHEDULING; 4.5 CONCLUDING THOUGHTS; Chapter 5 -- A Bayesian Take on Colorectal Screening, Baseball, Fund Managers, and a Murder; 5.1 BACKGROUND; 5.2 BAYES' THEOREM; 5.3 COLORECTAL SCREENING; 5.4 MURDER AND OJ SIMPSON; 5.5 SKEPTICAL BAYESIANS; 5.6 BATTING AVERAGES AND A PARADOX. |
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5.7 A FEW MATHEMATICAL DETAILS5.8 COMPARING APPLES AND ORANGES; 5.9 CONCLUDING THOUGHTS; Chapter 6 -- What Are the Odds of That?; 6.1 BACKGROUND; 6.2 COINCIDENCE AND NEAR-COINCIDENCE; 6.3 A FEW MATHEMATICAL DETAILS; 6.4 FIRE ALARMS, BOMB HITS, AND BASEBALL STREAKS; 6.5 NOT A DESIGNER BUT A GARDENER; 6.6 CHI-SQUARED; 6.7 STOCK FUNDS AND BASEBALL STREAKS, REDUX; 6.8 CONCLUDING THOUGHTS; Chapter 7 -- It's Normal Not to Be Normal; 7.1 BACKGROUND; 7.2 THE ONE-PERCENTERS; 7.3 MARKET VOLATILITY; 7.4 A FEW MATHEMATICAL DETAILS; 7.5 CONCLUDING THOUGHTS; Chapter 8 -- Boom and Bust; 8.1 BACKGROUND. |
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8.2 A FISHERY MODEL8.3 UNSTABLE EQUILIBRIA AND CYCLIC BEHAVIOR; 8.4 A SECOND LOOK AT THE FISHERY MODEL; 8.5 A RESTRICTED-ACCESS FISHERY; 8.6 CONCLUDING THOUGHTS; Chapter 9 -- Viral Outbreaks and Blood Clots; 9.1 BACKGROUND; 9.2 MEASLES EPIDEMICS; 9.3 CHAOTIC DYNAMICS OR RANDOMNESS?; 9.4 PREDATOR-MEDIATED COEXISTENCE; 9.5 AN UNUSUAL BLOOM; 9.6 VIRAL CONTAMINATION OF ALGAE; 9.7 BLOOD CLOTTING; 9.8 CONCLUDING THOUGHTS; Chapter 10 -- Red Tides and Whatever Happened to the Red Squirrel?; 10.1 BACKGROUND; 10.2 REACTION AND DIFFUSION; 10.3 ALGAL PATCHES; 10.4 TRAVELING WAVES. |
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10.5 THE SPREAD OF THE GRAY SQUIRREL10.6 RABID FOXES AND TRAFFIC CONGESTION; 10.7 CONCLUDING THOUGHTS; Chapter 11 -- Spatial Patterns: The Cat's Tail and Spreading Slime; 11.1 BACKGROUND; 11.2 STRIPES OR SPLOTCHES?; 11.3 SLIME MOLDS; Chapter 12 -- The Coil of Life; 12.1 BACKGROUND; 12.2 LINK, TWIST, AND WRITHE; 12.3 LOOPY DNA; 12.4 THE GAUSS LINKING NUMBER; 12.5 CONCLUDING THOUGHTS; Afterthoughts on Modeling; Appendix A -- The Normal Density; Appendix B -- Poisson Events; Appendix C -- Nonlinear Differential Equations and Oscillations; Appendix D -- Conditional Probability; References; Index. |
| Summary |
Mathematical Models for Society and Biology, second edition 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, second edition draws on current issues to engagingly relate how to use mathematics to gain insight into problems in biology a. |
| Subject |
Social sciences -- Mathematical models.
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Biology -- Mathematical models.
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Sciences sociales -- Modèles mathématiques. |
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Biologie -- Modèles mathématiques. |
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Biology -- Mathematical models |
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Social sciences -- Mathematical models |
| Other Form: |
Print version: Beltrami, Edward J. Mathematical models for society and biology. Second edition. 9780124046245 012404624X |
| ISBN |
0124046932 (electronic bk.) |
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9780124046931 (electronic bk.) |
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(hbk.) |
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(hbk.) |
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