Doing mathematics: convention, subject, calculation, analogy
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
River Edge, NJ
World Scientific
©2003
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 401-433) and index One. Introduction -- Two. Convention: how means and variances are entrenched as statistics -- Three. Subject: the fields of topology -- Four. Calculation: strategy, structure, and tactics in applying classical analysis -- Five. Analogy: a syzygy between a research program in mathematics and a research program in physics -- Six. In concreto: the city of mathematics -- Epilog A discussion of some ways of doing mathematical work and the subject matter that is being worked upon and created. It argues that the conventions we adopt, the subject areas we delimit, what we can prove and calculate about the physical world, and the analogies that work for mathematicians - all depend on mathematics, what will work out and what won't. And the mathematics, as it is done, is shaped and supported, or not, by convention, subject matter, calculation, and analogy. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connection between algebra and topology, the stability of matter, the Ising model, and the Langlands Program in number theory and representation theory |
| Beschreibung: | 1 Online-Ressource (xviii, 454 pages) |
| ISBN: | 1281935859 9781281935854 9789812795489 9812795480 |
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| 245 | 1 | 0 | |a Doing mathematics |b convention, subject, calculation, analogy |c Martin H. Krieger |
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| 500 | |a Includes bibliographical references (pages 401-433) and index | ||
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| 500 | |a A discussion of some ways of doing mathematical work and the subject matter that is being worked upon and created. It argues that the conventions we adopt, the subject areas we delimit, what we can prove and calculate about the physical world, and the analogies that work for mathematicians - all depend on mathematics, what will work out and what won't. And the mathematics, as it is done, is shaped and supported, or not, by convention, subject matter, calculation, and analogy. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connection between algebra and topology, the stability of matter, the Ising model, and the Langlands Program in number theory and representation theory | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Krieger, Martin H. |
| author_facet | Krieger, Martin H. |
| author_role | aut |
| author_sort | Krieger, Martin H. |
| author_variant | m h k mh mhk |
| building | Verbundindex |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043158465 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:16Z |
| institution | BVB |
| isbn | 1281935859 9781281935854 9789812795489 9812795480 |
| language | English |
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| physical | 1 Online-Ressource (xviii, 454 pages) |
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| spelling | Krieger, Martin H. Verfasser aut Doing mathematics convention, subject, calculation, analogy Martin H. Krieger River Edge, NJ World Scientific ©2003 1 Online-Ressource (xviii, 454 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 401-433) and index One. Introduction -- Two. Convention: how means and variances are entrenched as statistics -- Three. Subject: the fields of topology -- Four. Calculation: strategy, structure, and tactics in applying classical analysis -- Five. Analogy: a syzygy between a research program in mathematics and a research program in physics -- Six. In concreto: the city of mathematics -- Epilog A discussion of some ways of doing mathematical work and the subject matter that is being worked upon and created. It argues that the conventions we adopt, the subject areas we delimit, what we can prove and calculate about the physical world, and the analogies that work for mathematicians - all depend on mathematics, what will work out and what won't. And the mathematics, as it is done, is shaped and supported, or not, by convention, subject matter, calculation, and analogy. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connection between algebra and topology, the stability of matter, the Ising model, and the Langlands Program in number theory and representation theory Mathématiques / Recherche MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Essays bisacsh Mathematics / Research fast Wiskunde gtt Methodologie gtt Mathematik Methode Mathematics Research Weltbild (DE-588)4065352-3 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Forschung (DE-588)4017894-8 gnd rswk-swf Mathematik (DE-588)4037944-9 s Weltbild (DE-588)4065352-3 s 1\p DE-604 Forschung (DE-588)4017894-8 s 2\p DE-604 Erscheint auch als Druck-Ausgabe, Paperback 981-238-200-3 Erscheint auch als Druck-Ausgabe, Paperback 981-238-206-2 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235649 Aggregator 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 |
| spellingShingle | Krieger, Martin H. Doing mathematics convention, subject, calculation, analogy Mathématiques / Recherche MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Essays bisacsh Mathematics / Research fast Wiskunde gtt Methodologie gtt Mathematik Methode Mathematics Research Weltbild (DE-588)4065352-3 gnd Mathematik (DE-588)4037944-9 gnd Forschung (DE-588)4017894-8 gnd |
| subject_GND | (DE-588)4065352-3 (DE-588)4037944-9 (DE-588)4017894-8 |
| title | Doing mathematics convention, subject, calculation, analogy |
| title_auth | Doing mathematics convention, subject, calculation, analogy |
| title_exact_search | Doing mathematics convention, subject, calculation, analogy |
| title_full | Doing mathematics convention, subject, calculation, analogy Martin H. Krieger |
| title_fullStr | Doing mathematics convention, subject, calculation, analogy Martin H. Krieger |
| title_full_unstemmed | Doing mathematics convention, subject, calculation, analogy Martin H. Krieger |
| title_short | Doing mathematics |
| title_sort | doing mathematics convention subject calculation analogy |
| title_sub | convention, subject, calculation, analogy |
| topic | Mathématiques / Recherche MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Essays bisacsh Mathematics / Research fast Wiskunde gtt Methodologie gtt Mathematik Methode Mathematics Research Weltbild (DE-588)4065352-3 gnd Mathematik (DE-588)4037944-9 gnd Forschung (DE-588)4017894-8 gnd |
| topic_facet | Mathématiques / Recherche MATHEMATICS / Pre-Calculus MATHEMATICS / Reference MATHEMATICS / Essays Mathematics / Research Wiskunde Methodologie Mathematik Methode Mathematics Research Weltbild Forschung |
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