Mathematical Models for Society and Biology

Name: Mathematical Models for Society and Biology
Price: 47.43 USD
Availability: InStock
ISBN: 9780120855612

ISBN-10: 0120855615

ISBN-13: 9780120855612

Edition: 2002

Authors: Edward Beltrami

List price: $130.00

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Description:

Mathematical Modeling for Society and Biology engagingly relates mathematics to compelling real-life problems in biology and contemporary society. It shows how mathematical tools can be used to gain insight into these modern, common problems to provide effective, real solutions. Beltrami's creative, non-threatening approach draws on a wealth of interesting examples pertaining to current social and biological issues. Central ideas appear again in different contexts throughout the book, showing the general unity of the modeling process. The models are strikingly novel and based on issues of real concern. Most have never appeared in book form. Through the relevance of these models…

Book details

List price: $130.00
Copyright year: 2002
Publisher: Elsevier Science & Technology
Publication date: 1/21/2002
Binding: Hardcover
Pages: 199
Size: 5.94" wide x 9.00" long x 0.50" tall
Weight: 1.034
Language: English



Preface



Crabs and Criminals



Background



Absorbing Markov Chains



Social Mobility



Recidivism



Exercises



Further Readings



It Isn't Fair: Municipal Workers, Congressional Seats, and the Talmud



Background



Manpower Scheduling



Apportionment



An Inheritance



Exercises



Further Readings



While the City Burns



Background



Poisson Processes



The Inverse Square Root Law



How Busy Are the Fire Companies?



Optimal Deployment of Fire Companies



Exercises



Further Readings



Clean Streets



Background



Euler Tour



Street Sweeping



Vehicle Scheduling



Exercises



Further Readings



The Coil of Life



Background



The Gauss Linking Number



Twisting and Writhing of DNA



Exercises



Further Readings



Measles and Blood Clots



Background



Equilibria and Stability



Linearization



Measles Epidemics



Chaotic Dynamics or Randomness?



Blood Clotting



Exercises



Further Readings



Sardines and Algae Blooms



Background



A Catastrophe Model of Fishing



Unusual Blooms



Cycles



Another View of Fish Harvesting



Exercises



Further Readings



Red Tides and What Ever Happened to the Red Squirrel?



Background



Diffusion



Algal Patches



Traveling Waves



The Spread of the Gray Squirrel



Exercises



Further Readings



Submarines and Trawlers



Background



A Variational Lemma



Hide and Seek



A Restricted Access Fishery



A Comment about Strategy



Exercises



Further Readings


Afterthoughts on Modeling



Conditional Probability


References


Solutions to Select Exercises


Index