{"product_id":"celestial-encounters-9780691027432","title":"Celestial Encounters","description":"\u003cp\u003eCelestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888  the 34-year-old Henri Poincar submitted a paper that was to change the course of science  but not before it underwent significant changes itself. \"The Three-Body Problem and the Equations of Dynamics\" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica  but after accepting the prize  Poincar found a serious mistake in his work. While correcting it  he discovered the phenomenon of chaos.  Starting with the story of Poincars work  Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newtons Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics.  In presenting the modern theory of dynamical systems  the models underlying much of modern science are described pictorially  using the geometrical language invented by Poincar. More generally  the authors reflect on mathematical creativity and the roles that chance encounters  politics  and circumstance play in it.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":67968336101429,"sku":"ByrdShop_0691027439","price":58.02,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780691027432.jpg?v=1794565668","url":"https:\/\/atxbooks.com\/products\/celestial-encounters-9780691027432","provider":"ATX Books","version":"1.0","type":"link"}