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Doing mathematics : convention, subject, calculation, analogy /
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 dep...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
River Edge, NJ :
World Scientific,
©2003.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Krieger, Martin H. | |
| 245 | 1 | 0 | |a Doing mathematics : |b convention, subject, calculation, analogy / |c Martin H. Krieger. |
| 260 | |a River Edge, NJ : |b World Scientific, |c ©2003. | ||
| 300 | |a 1 online resource (xviii, 454 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references (pages 401-433) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 520 | |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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| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a Mathematics |x Research |2 fast | |
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| 650 | 1 | 7 | |a Methodologie. |2 gtt |
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