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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Smallpox: When Should Routine Vaccination Be Discontinued?
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Smallpox: When Should Routine Vaccination Be Discontinued?
J.C. Frauenthal (Broschiert, Englisch)
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Beschreibung
The material discussed in this monograph should be accessible to upper level undergraduates in the mathemati cal sciences. Formal prerequisites include a solid intro duction to calculus and one semester of probability. Although differential equations are employed, these are all linear, constant coefficient, ordinary differential equa tions which are solved either by separation of variables or by… introduction of an integrating factor. These techniques can be taught in a few minutes to students who have studied calculus. The models developed to describe an epidemic outbreak of smallpox are standard stochastic processes (birth-death, random walk and branching processes). While it would be helpful for students to have seen these prior to their introduction in this monograph, it is certainly not necessary. The stochastic processes are developed from first principles and then solved using elementary tech niques. Since all that turns out to be necessary are ex pected values of random variables, the differential-differ ence equatlon descriptions of the stochastic processes are reduced to ordinary differential equations before being solved. Students who have studied stochastic processes are generally pleased to learn that different formulations are possible for the same set of conditions. The choice of which formulation to employ depends upon what one wishes to calculate. Specifically, in Section 6 a birth-death pro cess is replaced by a random walk and in Section 7 a prob lem is formulated both as a multi-birth-death process and as a branching process. 53,49 €
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Technische Daten
Erscheinungsdatum
01.01.1981
Sprache
Englisch
EAN
9780817630423
Herausgeber
Birkhäuser Boston
Serien- oder Bandtitel
Modules and Monographs in Undergraduate Mathematics and Its Applications
Sonderedition
Nein
Autor
J.C. Frauenthal
Seitenanzahl
50
Einbandart
Broschiert
Schlagwörter
Mathematica, calculus, differential equation, equation, variable
Thema-Inhalt
PB - Mathematik
Höhe
229 mm
Breite
15.2 cm
Transparenz & Sicherheit
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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