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· 제목 : Mathematical Understanding of Nature (Paperback) (Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9781470417017
· 쪽수 : 167쪽
· 출판일 : 2014-09-30
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9781470417017
· 쪽수 : 167쪽
· 출판일 : 2014-09-30
목차
- The eccentricity of the Keplerian orbit of Mars
- Rescuing the empennage
- Return along a sinusoid
- The Dirichlet integral and the Laplace operator
- Snell's law of refraction
- Water depth and Cartesian science
- A drop of water refracting light
- Maximal deviation angle of a beam
- The rainbow
- Mirages
- Tide, Gibbs phenomenon, and tomography
- Rotation of a liquid
- What force drives a bicycle forward?
- Hooke and Keplerian ellipses and their conformal transformations
- The stability of the inverted pendulum and Kapitsa's sewing machine
- Space flight of a photo camera cap
- The angular velocity of a clock hand and Feynman's “self-propagating pseudoeducation”
- Planetary rings
- Symmetry (and Curie's principle)
- Courant's erroneous theorems
- Ill-posed problems of mechanics
- Rational fractions of flows
- Journey to the center of the earth
- Mean frequency of explosions (according to Ya. B. Zel'dovich) and de Sitter's world
- The Bernoulli fountains of the Nikologorsky bridge
- Shape formation in a three-liter glass jar
- Lidov's moon landing problem
- The advance and retreat of glaciers
- The ergodic theory of geometric progressions
- The Malthusian partitioning of the world
- Percolation and the hydrodynamics of the universe
- Buffon's problem and integral geometry
- Average projected area
- The mathematical notion of potential
- Inversion in cylindrical mirrors in the subway
- Adiabatic invariants
- Universality of Hack's exponent for river lengths
- Resonances in the Shukhov tower, in the Sobolev equation, and in the tanks of spin-stabilized rockets
- The theory of rigid body rotation and hydrodynamics
