Doing mathematics: convention, subject, calculation, analog
This book discusses 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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2003
|
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | This book discusses 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: | xviii, 454 p. ill |
| ISBN: | 9789812795489 |
Internformat
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Datensatz im Suchindex
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| author | Krieger, Martin H. |
| author_facet | Krieger, Martin H. |
| author_role | aut |
| author_sort | Krieger, Martin H. |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044635701 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:47Z |
| institution | BVB |
| isbn | 9789812795489 |
| language | English |
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| physical | xviii, 454 p. ill |
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| spelling | Krieger, Martin H. Verfasser aut Doing mathematics convention, subject, calculation, analog Martin H. Krieger Singapore World Scientific Pub. Co. c2003 xviii, 454 p. ill txt rdacontent c rdamedia cr rdacarrier This book discusses 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 Mathematics / Research Forschung (DE-588)4017894-8 gnd rswk-swf Weltbild (DE-588)4065352-3 gnd rswk-swf Mathematik (DE-588)4037944-9 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 9789812382009 Erscheint auch als Druck-Ausgabe 9812382003 (alk. paper) Erscheint auch als Druck-Ausgabe 9812382062 (pbk. : alk. paper) http://www.worldscientific.com/worldscibooks/10.1142/5133#t=toc Verlag URL des Erstveroeffentlichers 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, analog Mathematics / Research Forschung (DE-588)4017894-8 gnd Weltbild (DE-588)4065352-3 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4017894-8 (DE-588)4065352-3 (DE-588)4037944-9 |
| title | Doing mathematics convention, subject, calculation, analog |
| title_auth | Doing mathematics convention, subject, calculation, analog |
| title_exact_search | Doing mathematics convention, subject, calculation, analog |
| title_full | Doing mathematics convention, subject, calculation, analog Martin H. Krieger |
| title_fullStr | Doing mathematics convention, subject, calculation, analog Martin H. Krieger |
| title_full_unstemmed | Doing mathematics convention, subject, calculation, analog Martin H. Krieger |
| title_short | Doing mathematics |
| title_sort | doing mathematics convention subject calculation analog |
| title_sub | convention, subject, calculation, analog |
| topic | Mathematics / Research Forschung (DE-588)4017894-8 gnd Weltbild (DE-588)4065352-3 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathematics / Research Forschung Weltbild Mathematik |
| url | http://www.worldscientific.com/worldscibooks/10.1142/5133#t=toc |
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