Mathematical understanding of nature (Record no. 59883)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03086nam a22002297a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 230510b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781470438388 (PB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 5 |
| Item number | ARN |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Arnold, V. I |
| 245 ## - TITLE STATEMENT | |
| Title | Mathematical understanding of nature |
| Sub Title | Essays on amazing physical phenomena and their understanding by mathematicians |
| 250 ## - EDITION STATEMENT | |
| Edition statement | Indian Edition |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Providence, Rhode Island |
| Name of publisher | American Mathematical Society (AMS) |
| Year of publication | 2023 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xiv, 167 p |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. The eccentricity of the Keplerain orbit of Mars<br/>2. Rescuing the Empennage<br/>3. Return along a Sinusoid<br/>4. The Dirichlet Integral and the Laplace Operator<br/>5. Snell's Law of refraction<br/>6. Water depth and Cartesian science<br/>7. A drop of water refracting light<br/>8. Maximal deviation angle of a beam<br/>9. The rainbow<br/>10. Mirages<br/>11. Tides, Gibbs Phenomenon, and Tomography<br/>12. Rotation of a liquid<br/>13. What force drives a bicycle forward? 14. Hooke and Keplerain Ellipses and their conformal transformations<br/>15. The stability of the inverted pendulum and Kapitsa's sewing machine<br/>16. Space flight of a photo camera cap<br/>17. The angular velocity of a clock hand and Feynman's "Self-Propagating Pseudoeducation"<br/>18. Planetary rings<br/>19. Symmetry (and Curie's Principle)<br/>20. Courant's Erroneous Theorems<br/>21. Ill-posed problems of mechanics<br/>22. Rational fractions of flows<br/>23. Journey to the center of the Earth<br/>24. Mean frequency of explosion (according to Ya. B. Zel'dovich) and de Sitter's world<br/>25. The Bernoulli Fountains of the Nikologorsky Bridge<br/>26. Shape formation in a three-liter glass jar. 27. Lidov's moon landing problem<br/>28. The advance and retreat of glaciers<br/>29. The Ergodic Theory of geometric progressions<br/>30. The Malthusian partitioning of the world<br/>31. Percolation and the Hydrodynamics of the Universe<br/>32. Buffon's problem and integral geometry<br/>33. Average projected area<br/>34. The mathematical notion of a potential<br/>35. Inversion in cylindrical mirrors in the subway<br/>36. Adiabatic invariants<br/>37. Universality of Hack's Exponent for river lengths<br/>38. Resonances in the Shukhov Tower, in the Sobolev Equation, and in the Tanks of Spin-Stabilized Rockets<br/>39. Rotation of rigid bodies and hydrodynamics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "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."" |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Fluid mechanics Instructional exposition (textbooks, tutorial papers, etc.) |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sossinsky, Alexei (Translator) |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sipacheva,Olga (Translator) |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type | Owner (If the Item is Gratis) |
|---|---|---|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | First Floor, Rack No: 21, Shelf No : 1 | 5 ARN | 77156 | BOOKS | Gratis by NBHM (National Board of Higer Mathematics) Through Prof. R Balasubramanian | ||||
| IMSc Library | IMSc Library | Multiple Copies Section, Shelf No: 1 | 5 ARN | 77175 | BOOKS | Gratis by NBHM (National Board of Higer Mathematics) |