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1999

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Mathematics and physics: mother and daughter or sisters?


V.A. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russian Federation

The unity of mathematics and physics is emphasized in a paper previously presented, in part, in 1998 at a meeting of the French Mathematical Society, and at the Russian Academy of Sciences (seminar at the Institute of Theoretical and Experimental Physics and V L Ginzburg’s seminar at the Physics Institute).

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Fulltext is also available at DOI: 10.1070/PU1999v042n12ABEH000673
PACS: 01.70.+w
DOI: 10.1070/PU1999v042n12ABEH000673
URL: https://ufn.ru/en/articles/1999/12/c/
000085196500003
Citation: Arnol’d V I "Mathematics and physics: mother and daughter or sisters?" Phys. Usp. 42 1205–1217 (1999)
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Оригинал: Арнольд В И «Математика и физика: родитель и дитя или сестры?» УФН 169 1311–1323 (1999); DOI: 10.3367/UFNr.0169.199912c.1311

References (13) ↓ Cited by (10) Similar articles (16)

  1. Arnol’d V I "O prepodavanii matematiki" ("On the teaching of mathematics") Usp. Mat. Nauk 53 (1) 229 (1998)
  2. Whitney H "Singularities of mappings of Euclidean spaces I. Mappings of the plane into the plane" Ann. Math. 62 374 (1955)
  3. Arnol’d V I, Varchenko A N, Guseîn-Zade S M Osobennosti Differentsiruemykh Otobrazheniî Vol. I, II (Singularities of Differentiable Maps, Moscow: Nauka, 1982, 1984) [Translated into English (Boston: Birkhäuser, 1985-1988)]
  4. Arnol’d V I Teoriya Katastrof (Catastrophe Theory) 3rd ed. (Moscow: Nauka, 1990) [Translated into English (Berlin: Springer-Verlag, 1992)]
  5. Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya Vol. 1, 3-6, 39 (Modern Problems of Mathematics. Fundamental Directions, Moscow: VINITI, 1985-1989)
  6. Arnol’d V I Osobennosti Kaustik i Volnovykh Frontov (Singularities of Caustics and Wave Fronts, Moscow: Fazis, 1998) [Translated into English (Dordrecht: Kluwer Acad. Publ., 1990)]
  7. Arnol’d V I "Integraly bystro ostsilliruyushchikh funktsiî i osobennosti proektsiî lagranzhevykh mnogoobraziî" ("Integrals of fast oscillating functions and singularities of projections of Lagrangian manifolds") Funkts. Analiz i Ego Prilozh. 6 (3) 61 (1972)
  8. Arnol’d V I "Indeksy osobykh tochek 1-form na mnogoobrazii s kraem, svorachivanie invariantov grupp porozhdennykh otrazheniyami i osobye proektsii gladkikh poverkhnosteî" ("Indices of singular points of 1-forms on a manifold with a boundary, contraction of the invariants of groups generated by reflections and singular projections of smooth surfaces") Usp. Mat. Nauk 34 (2) 3 (1979)
  9. Arnol’d V I "Topologicheskaya teorema Maksvella o mul’tipol’nom predstavlenii sfericheskikh funktsiî" ("Maxwell topological theorem on multipole representation of spherical functions") Usp. Mat. Nauk 51 (6) 227 (1996)
  10. Arnold V I "Wave front evolution and equivariant Morse lemma" Comm. Pure Appl. Math. 29 (6) 537 (1976)
  11. Arnol’d V I "Ischislenie zmeî i kombinatorika chisel Bernulli, Eîlera i Springera" ("Snake calculus and combinatorics of Bernoulli, Euler and Springer numbers") Usp. Mat. Nauk 47 (1) 3 (1992)
  12. Arnol’d V I "Kriticheskie tochki funktsiî i klassifikatsiya kaustik" ("Critical points of functions and classification of caustics") Usp. Mat. Nauk 29 (3) 243 (1974)
  13. Looijenga E "The complement of the bifurcation variety of a simple singularity" Invent. Math. 23 (2) 105 (1974)

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