Compartmental Modeling with Networks:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1999
|
| Schriftenreihe: | Modeling and Simulation in Science, Engineering and Technology
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The subject of mathematical modeling has expanded considerably in the past twenty years. This is in part due to the appearance of the text by Kemeny and Snell, "Mathematical Models in the Social Sciences," as well as the one by Maki and Thompson, "Mathematical Models and Applications. " Courses in the subject became a widespread if not standard part of the undergraduate mathematics curriculum. These courses included various mathematical topics such as Markov chains, differential equations, linear programming, optimization, and probability. However, if our own experience is any guide, they failed to teach mathematical modeling; that is, few students who completed the course were able to carry out the modeling paradigm in all but the simplest cases. They could be taught to solve differential equations or find the equilibrium distribution of a regular Markov chain, but could not, in general, make the transition from "real world" statements to their mathematical formulation. The reason is that this process is very difficult, much more difficult than doing the mathematical analysis. After all, that is exactly what engineers spend a great deal of time learning to do. But they concentrate on very specific problems and rely on previous formulations of similar problems. It is unreasonable to expect students to learn to convert a large variety of real-world problems to mathematical statements, but this is what these courses require |
| Beschreibung: | 1 Online-Ressource (XVIII, 250 p) |
| ISBN: | 9781461215905 9781461272076 |
| ISSN: | 2164-3679 |
| DOI: | 10.1007/978-1-4612-1590-5 |
Internformat
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Datensatz im Suchindex
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| author | Walter, Gilbert G. |
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| dewey-sort | 13.3 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1590-5 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461215905 9781461272076 |
| issn | 2164-3679 |
| language | English |
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| series2 | Modeling and Simulation in Science, Engineering and Technology |
| spelling | Walter, Gilbert G. Verfasser aut Compartmental Modeling with Networks by Gilbert G. Walter, Martha Contreras Boston, MA Birkhäuser Boston 1999 1 Online-Ressource (XVIII, 250 p) txt rdacontent c rdamedia cr rdacarrier Modeling and Simulation in Science, Engineering and Technology 2164-3679 The subject of mathematical modeling has expanded considerably in the past twenty years. This is in part due to the appearance of the text by Kemeny and Snell, "Mathematical Models in the Social Sciences," as well as the one by Maki and Thompson, "Mathematical Models and Applications. " Courses in the subject became a widespread if not standard part of the undergraduate mathematics curriculum. These courses included various mathematical topics such as Markov chains, differential equations, linear programming, optimization, and probability. However, if our own experience is any guide, they failed to teach mathematical modeling; that is, few students who completed the course were able to carry out the modeling paradigm in all but the simplest cases. They could be taught to solve differential equations or find the equilibrium distribution of a regular Markov chain, but could not, in general, make the transition from "real world" statements to their mathematical formulation. The reason is that this process is very difficult, much more difficult than doing the mathematical analysis. After all, that is exactly what engineers spend a great deal of time learning to do. But they concentrate on very specific problems and rely on previous formulations of similar problems. It is unreasonable to expect students to learn to convert a large variety of real-world problems to mathematical statements, but this is what these courses require Mathematics Mathematical Modeling and Industrial Mathematics Mathematik Netzwerkmodell (DE-588)4131643-5 gnd rswk-swf Graphentheorie (DE-588)4113782-6 gnd rswk-swf Netzwerkfluss (DE-588)4126130-6 gnd rswk-swf Netzwerkmodell (DE-588)4131643-5 s Graphentheorie (DE-588)4113782-6 s Netzwerkfluss (DE-588)4126130-6 s 1\p DE-604 Contreras, Martha Sonstige oth https://doi.org/10.1007/978-1-4612-1590-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Walter, Gilbert G. Compartmental Modeling with Networks Mathematics Mathematical Modeling and Industrial Mathematics Mathematik Netzwerkmodell (DE-588)4131643-5 gnd Graphentheorie (DE-588)4113782-6 gnd Netzwerkfluss (DE-588)4126130-6 gnd |
| subject_GND | (DE-588)4131643-5 (DE-588)4113782-6 (DE-588)4126130-6 |
| title | Compartmental Modeling with Networks |
| title_auth | Compartmental Modeling with Networks |
| title_exact_search | Compartmental Modeling with Networks |
| title_full | Compartmental Modeling with Networks by Gilbert G. Walter, Martha Contreras |
| title_fullStr | Compartmental Modeling with Networks by Gilbert G. Walter, Martha Contreras |
| title_full_unstemmed | Compartmental Modeling with Networks by Gilbert G. Walter, Martha Contreras |
| title_short | Compartmental Modeling with Networks |
| title_sort | compartmental modeling with networks |
| topic | Mathematics Mathematical Modeling and Industrial Mathematics Mathematik Netzwerkmodell (DE-588)4131643-5 gnd Graphentheorie (DE-588)4113782-6 gnd Netzwerkfluss (DE-588)4126130-6 gnd |
| topic_facet | Mathematics Mathematical Modeling and Industrial Mathematics Mathematik Netzwerkmodell Graphentheorie Netzwerkfluss |
| url | https://doi.org/10.1007/978-1-4612-1590-5 |
| work_keys_str_mv | AT waltergilbertg compartmentalmodelingwithnetworks AT contrerasmartha compartmentalmodelingwithnetworks |