Articles liés à Smallpox: When Should Routine Vaccination Be Discontinued?
Synopsis
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.
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- ÉditeurSpringer
- Date d'édition2013
- ISBN 10 0817630422
- ISBN 13 9780817630423
- ReliureBroché
- Langueanglais
- Nombre de pages64
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Smallpox: When Should Routine Vaccination Be Discontinued? (Modules and Monographs in Undergraduate Mathematics and Its Applications)
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Smallpox: When Should Routine Vaccination Be Discontinued?
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9780817630423
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Smallpox: When Should Routine Vaccination Be Discontinued?
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Birkhauser Boston Inc, 1981
ISBN 10 : 0817630422
ISBN 13 : 9780817630423
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Smallpox: When should Routine Vaccination be Discontinued? (Modules and Monographs in Undergraduate Mathematics and Its Applications)
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Paperback. Etat : Brand New. 1981 edition. 64 pages. 9.02x5.98x0.15 inches. In Stock. N° de réf. du vendeur x-0817630422
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Smallpox: When Should Routine Vaccination Be Discontinued?
Edité par
Birkhäuser Boston Jan 1981, 1981
ISBN 10 : 0817630422
ISBN 13 : 9780817630423
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 64 pp. Englisch. N° de réf. du vendeur 9780817630423
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