Mathematics and Politics: Strategy, Voting, Power and Proof
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Textbooks in Mathematical Sciences
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | interest in a particular application, however, often depends on his or her general interest in the area in which the application is taking place. My experience at Union College has been that there is a real advantage in having students enter the course knowing that virtually all the applications will focus on a single discipline- in this case, political science. The level ofpresentation assumes no college-level mathematical or social science prerequisites. The philosophy underlying the approach we have taken in this book is based on the sense that we (mathematicians) have tended to make two errors in teaching non-science students: we have overestimated their comfort with computational material, and we have underestimated their ability to handle conceptual material. Thus, while there is very little algebra (and certainly no calculus) in our presentation, we have included numerous logical arguments that students in the humanities and the social sciences will find accessible, but not trivial. The book contains five main topics: a model of escalation, gametheoretic models of international conflict, yes-no voting systems, political power, and social choice. The first part of the text is made up of a single chapter devoted to each topic. The second part of the text revisits each topic, again with a single chapter devoted to each. The organization of the book is based on pedagogical considerations, with the material becoming somewhat more sophisticated as one moves through the ten chapters. On the other hand, within any given chapter there is little reliance on material from earlier chapters, except for those devoted to the same topic |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461225126 9780387943916 |
| ISSN: | 1431-9381 |
| DOI: | 10.1007/978-1-4612-2512-6 |
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Datensatz im Suchindex
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| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-2512-6 |
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| spelling | Taylor, Alan D. 1947- Verfasser (DE-588)114332959 aut Mathematics and Politics Strategy, Voting, Power and Proof by Alan D. Taylor New York, NY Springer New York 1995 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Textbooks in Mathematical Sciences 1431-9381 interest in a particular application, however, often depends on his or her general interest in the area in which the application is taking place. My experience at Union College has been that there is a real advantage in having students enter the course knowing that virtually all the applications will focus on a single discipline- in this case, political science. The level ofpresentation assumes no college-level mathematical or social science prerequisites. The philosophy underlying the approach we have taken in this book is based on the sense that we (mathematicians) have tended to make two errors in teaching non-science students: we have overestimated their comfort with computational material, and we have underestimated their ability to handle conceptual material. Thus, while there is very little algebra (and certainly no calculus) in our presentation, we have included numerous logical arguments that students in the humanities and the social sciences will find accessible, but not trivial. The book contains five main topics: a model of escalation, gametheoretic models of international conflict, yes-no voting systems, political power, and social choice. The first part of the text is made up of a single chapter devoted to each topic. The second part of the text revisits each topic, again with a single chapter devoted to each. The organization of the book is based on pedagogical considerations, with the material becoming somewhat more sophisticated as one moves through the ten chapters. On the other hand, within any given chapter there is little reliance on material from earlier chapters, except for those devoted to the same topic Statistics Mathematical statistics Economics Statistical Theory and Methods Economic Theory Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law Statistik Wirtschaft Politische Wissenschaft (DE-588)4076229-4 gnd rswk-swf Kollektiventscheidung (DE-588)4022393-0 gnd rswk-swf Politik (DE-588)4046514-7 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s Politik (DE-588)4046514-7 s 1\p DE-604 Kollektiventscheidung (DE-588)4022393-0 s Mathematisches Modell (DE-588)4114528-8 s 2\p DE-604 Politische Wissenschaft (DE-588)4076229-4 s 3\p DE-604 4\p DE-604 https://doi.org/10.1007/978-1-4612-2512-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Taylor, Alan D. 1947- Mathematics and Politics Strategy, Voting, Power and Proof Statistics Mathematical statistics Economics Statistical Theory and Methods Economic Theory Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law Statistik Wirtschaft Politische Wissenschaft (DE-588)4076229-4 gnd Kollektiventscheidung (DE-588)4022393-0 gnd Politik (DE-588)4046514-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd Spieltheorie (DE-588)4056243-8 gnd |
| subject_GND | (DE-588)4076229-4 (DE-588)4022393-0 (DE-588)4046514-7 (DE-588)4114528-8 (DE-588)4056243-8 |
| title | Mathematics and Politics Strategy, Voting, Power and Proof |
| title_auth | Mathematics and Politics Strategy, Voting, Power and Proof |
| title_exact_search | Mathematics and Politics Strategy, Voting, Power and Proof |
| title_full | Mathematics and Politics Strategy, Voting, Power and Proof by Alan D. Taylor |
| title_fullStr | Mathematics and Politics Strategy, Voting, Power and Proof by Alan D. Taylor |
| title_full_unstemmed | Mathematics and Politics Strategy, Voting, Power and Proof by Alan D. Taylor |
| title_short | Mathematics and Politics |
| title_sort | mathematics and politics strategy voting power and proof |
| title_sub | Strategy, Voting, Power and Proof |
| topic | Statistics Mathematical statistics Economics Statistical Theory and Methods Economic Theory Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law Statistik Wirtschaft Politische Wissenschaft (DE-588)4076229-4 gnd Kollektiventscheidung (DE-588)4022393-0 gnd Politik (DE-588)4046514-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd Spieltheorie (DE-588)4056243-8 gnd |
| topic_facet | Statistics Mathematical statistics Economics Statistical Theory and Methods Economic Theory Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law Statistik Wirtschaft Politische Wissenschaft Kollektiventscheidung Politik Mathematisches Modell Spieltheorie |
| url | https://doi.org/10.1007/978-1-4612-2512-6 |
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