## Mathematical understanding of nature Essays on amazing physical phenomena and their understanding by mathematicians

Material type: TextLanguage: English Publication details: Providence, Rhode Island American Mathematical Society (AMS) 2023Edition: Indian EditionDescription: xiv, 167 pISBN: 9781470438388 (PB)Subject(s): Fluid mechanics Instructional exposition (textbooks, tutorial papers, etc.) | MathematicsCurrent library | Home library | Call number | Materials specified | Status | Date due | Barcode |
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IMSc Library | IMSc Library | 5 ARN (Browse shelf (Opens below)) | Available | 77156 | ||

IMSc Library | IMSc Library | 5 ARN (Browse shelf (Opens below)) | Available | 77175 |

1. The eccentricity of the Keplerain orbit of Mars

2. Rescuing the Empennage

3. Return along a Sinusoid

4. The Dirichlet Integral and the Laplace Operator

5. Snell's Law of refraction

6. Water depth and Cartesian science

7. A drop of water refracting light

8. Maximal deviation angle of a beam

9. The rainbow

10. Mirages

11. Tides, Gibbs Phenomenon, and Tomography

12. Rotation of a liquid

13. What force drives a bicycle forward? 14. Hooke and Keplerain Ellipses and their conformal transformations

15. The stability of the inverted pendulum and Kapitsa's sewing machine

16. Space flight of a photo camera cap

17. The angular velocity of a clock hand and Feynman's "Self-Propagating Pseudoeducation"

18. Planetary rings

19. Symmetry (and Curie's Principle)

20. Courant's Erroneous Theorems

21. Ill-posed problems of mechanics

22. Rational fractions of flows

23. Journey to the center of the Earth

24. Mean frequency of explosion (according to Ya. B. Zel'dovich) and de Sitter's world

25. The Bernoulli Fountains of the Nikologorsky Bridge

26. Shape formation in a three-liter glass jar. 27. Lidov's moon landing problem

28. The advance and retreat of glaciers

29. The Ergodic Theory of geometric progressions

30. The Malthusian partitioning of the world

31. Percolation and the Hydrodynamics of the Universe

32. Buffon's problem and integral geometry

33. Average projected area

34. The mathematical notion of a potential

35. Inversion in cylindrical mirrors in the subway

36. Adiabatic invariants

37. Universality of Hack's Exponent for river lengths

38. Resonances in the Shukhov Tower, in the Sobolev Equation, and in the Tanks of Spin-Stabilized Rockets

39. Rotation of rigid bodies and hydrodynamics

"This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold, one of the most original contemporary researchers. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership. Original illustrations hand drawn by the author help the reader to further understand and appreciate Arnold's view on the relationship between mathematics and science.""

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