{"product_id":"mathematical-understanding-of-nature-essays-on-amazing-physical-phenomena-and-their-understanding-by-mathematicians-9781470417017","title":"Mathematical Understanding of Nature  Essays on","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThe remarks provide a glimpse into the background of the history and the culture of science and humanity. This book will entertain and make the reader think. I recommend this fascinating book to any curious person.\" - László Csizmadia, \u003cem\u003eACTA Sci Math\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\"Examples teach no less than rules, and errors, more than correct but abstruse proofs. Looking at the pictures in this book, the reader will understand more than learning by rote dozens of axioms (even together with their consequences about what sea the Volga River falls into and what horses eat). Most essays in the book are quite short, and their level of difficulty varies significantly -- some require only knowledge of a high school mathematics and some may be viewed as a serious challenge even for an experienced mathematician. As most texts written by Arnold, the book under review is a quite demanding but very stimulating and inspiring reading featuring original author's illustrations.\" - \u003cem\u003eZentralblatt Math\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\"This is a wonderful book for browsing, for anyone drawn to physical applications of mathematics or to Arnold himself and the breadth of his interests.\" - \u003cem\u003eMAA Reviews\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eThe eccentricity of the Keplerian orbit of Mars\u003c\/li\u003e\n\u003cli\u003eRescuing the empennage\u003c\/li\u003e\n\u003cli\u003eReturn along a sinusoid\u003c\/li\u003e\n\u003cli\u003eThe Dirichlet integral and the Laplace operator\u003c\/li\u003e\n\u003cli\u003eSnell's law of refraction\u003c\/li\u003e\n\u003cli\u003eWater depth and Cartesian science\u003c\/li\u003e\n\u003cli\u003eA drop of water refracting light\u003c\/li\u003e\n\u003cli\u003eMaximal deviation angle of a beam\u003c\/li\u003e\n\u003cli\u003eThe rainbow\u003c\/li\u003e\n\u003cli\u003eMirages\u003c\/li\u003e\n\u003cli\u003eTide, Gibbs phenomenon, and tomography\u003c\/li\u003e\n\u003cli\u003eRotation of a liquid\u003c\/li\u003e\n\u003cli\u003eWhat force drives a bicycle forward?\u003c\/li\u003e\n\u003cli\u003eHooke and Keplerian ellipses and their conformal transformations\u003c\/li\u003e\n\u003cli\u003eThe stability of the inverted pendulum and Kapitsa's sewing machine\u003c\/li\u003e\n\u003cli\u003eSpace flight of a photo camera cap\u003c\/li\u003e\n\u003cli\u003eThe angular velocity of a clock hand and Feynman's “self-propagating pseudoeducation”\u003c\/li\u003e\n\u003cli\u003ePlanetary rings\u003c\/li\u003e\n\u003cli\u003eSymmetry (and Curie's principle)\u003c\/li\u003e\n\u003cli\u003eCourant's erroneous theorems\u003c\/li\u003e\n\u003cli\u003eIll-posed problems of mechanics\u003c\/li\u003e\n\u003cli\u003eRational fractions of flows\u003c\/li\u003e\n\u003cli\u003eJourney to the center of the earth\u003c\/li\u003e\n\u003cli\u003eMean frequency of explosions (according to Ya. B. Zel'dovich) and de Sitter's world\u003c\/li\u003e\n\u003cli\u003eThe Bernoulli fountains of the Nikologorsky bridge\u003c\/li\u003e\n\u003cli\u003eShape formation in a three-liter glass jar\u003c\/li\u003e\n\u003cli\u003eLidov's moon landing problem\u003c\/li\u003e\n\u003cli\u003eThe advance and retreat of glaciers\u003c\/li\u003e\n\u003cli\u003eThe ergodic theory of geometric progressions\u003c\/li\u003e\n\u003cli\u003eThe Malthusian partitioning of the world\u003c\/li\u003e\n\u003cli\u003ePercolation and the hydrodynamics of the universe\u003c\/li\u003e\n\u003cli\u003eBuffon's problem and integral geometry\u003c\/li\u003e\n\u003cli\u003eAverage projected area\u003c\/li\u003e\n\u003cli\u003eThe mathematical notion of potential\u003c\/li\u003e\n\u003cli\u003eInversion in cylindrical mirrors in the subway\u003c\/li\u003e\n\u003cli\u003eAdiabatic invariants\u003c\/li\u003e\n\u003cli\u003eUniversality of Hack's exponent for river lengths\u003c\/li\u003e\n\u003cli\u003eResonances in the Shukhov tower, in the Sobolev equation, and in the tanks of spin-stabilized rockets\u003c\/li\u003e\n\u003cli\u003eThe theory of rigid body rotation and hydrodynamics\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50578053529943,"sku":"9781470417017","price":32.25,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470417017.jpg?v=1746097680","url":"https:\/\/bookcurl.com\/products\/mathematical-understanding-of-nature-essays-on-amazing-physical-phenomena-and-their-understanding-by-mathematicians-9781470417017","provider":"Book Curl","version":"1.0","type":"link"}