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010 _a 2014018911
020 _a9781470438388
040 _aDLC
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050 0 0 _aQA39
_b.A7413 2014
082 0 0 _a510
_223
_bARN-M
084 _a70-01
_a76-01
_a78-01
_2msc
100 1 _aArnold, V. I.
_q(Vladimir Igorevich)
245 1 0 _aMathematical understanding of nature :
_bessays on amazing physical phenomena and their understanding by mathematicians
_cby V. I. Arnold
260 _aHyderabad :
_bAmerican Mathematical Society,
_c©2014
300 _axiv, 167 p. :
_bill. ;
_c22 cm.
500 _aOriginally published in Russian by MTSNMO, under the title: Mathematicheskoe ponimanie prirody, 2011.
504 _aIncludes bibliographical references.
505 _tChapter 1. The eccentricity of the Keplerian orbit of Mars Chapter 2. Rescuing the empennage Chapter 3. Return along a sinusoid Chapter 4. The Dirichlet integral and the Laplace operator Chapter 5. Snell’s law of refraction Chapter 6. Water depth and Cartesian science Chapter 7. A drop of water refracting light Chapter 8. Maximal deviation angle of a beam Chapter 9. The rainbow Chapter 10. Mirages Chapter 11. Tide, Gibbs phenomenon, and tomography Chapter 12. Rotation of a liquid Chapter 13. What force drives a bicycle forward? Chapter 14. Hooke and Keplerian ellipses and their conformal transformations Chapter 15. The stability of the inverted pendulum and Kapitsa’s sewing machine Chapter 16. Space flight of a photo camera cap Chapter 17. The angular velocity of a clock hand and Feynman’s “self-propagating pseudoeducation” Chapter 18. Planetary rings Chapter 19. Symmetry (and Curie’s principle) Chapter 20. Courant’s erroneous theorems Chapter 21. Ill-posed problems of mechanics Chapter 22. Rational fractions of flows Chapter 23. Journey to the center of the earth Chapter 24. Mean frequency of explosions (according to Ya. B. Zel’dovich) and de Sitter’s world Chapter 25. The Bernoulli fountains of the Nikologorsky bridge Chapter 26. Shape formation in a three-liter glass jar Chapter 27. Lidov’s moon landing problem Chapter 28. The advance and retreat of glaciers Chapter 29. The ergodic theory of geometric progressions Chapter 30. The Malthusian partitioning of the world Chapter 31. Percolation and the hydrodynamics of the universe Chapter 32. Buffon’s problem and integral geometry Chapter 33. Average projected area Chapter 34. The mathematical notion of potential Chapter 35. Inversion in cylindrical mirrors in the subway Chapter 36. Adiabatic invariants Chapter 37. Universality of Hack’s exponent for river lengths Chapter 38. Resonances in the Shukhov tower, in the Sobolev equation, and in the tanks of spin-stabilized rockets Chapter 39. Rotation of rigid bodies and hydrodynamics
650 0 _aMathematics
_vPopular works.
650 7 _aMechanics of particles and systems -- Instructional exposition (textbooks, tutorial papers, etc.).
_2msc
650 7 _aFluid mechanics -- Instructional exposition (textbooks, tutorial papers, etc.).
_2msc
650 7 _aOptics, electromagnetic theory -- Instructional exposition (textbooks, tutorial papers, etc.).
_2msc
700 _aSossinsky, Alexei
_etranslator
700 _aSipacheva, Olga
_etranslator
856 _uhttps://www.google.co.in/books/edition/Mathematical_Understanding_of_Nature/9INzBAAAQBAJ?hl=en&gbpv=1&dq=Mathematical+understanding+of+nature+by+arnold&printsec=frontcover
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