{"product_id":"9783319714271","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eHernández-Lamoneda, Luis; Herrera, Haydeé; Herrera, Rafael\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003ePresenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.\u003cbr\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cp\u003e\u003c\/p\u003e  \u003cp\u003eA. Guillot’s notes aim to describe differential equations in the complex domain, motivated by the evolution of N particles moving on the plane subject to the influence of a magnetic field. Guillot studies such differential equations using different geometric structures on complex curves (in the sense of W. Thurston) in order to find isochronicity conditions.  \u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e  \u003cp\u003eR. Montgomery’s notes deal with a version of the planar Newtonian three-body equation. Namely, he investigates the problem of whether every free homotopy class is realized by a periodic geodesic. The solution involves geometry, dynamical systems, and the McGehee blow-up.A novelty of the approach is the use of energy-balance in order to motivate the McGehee transformation.   \u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e  \u003cp\u003eA. Pedroza’s notes provide a brief introduction to Lagrangian Floer homology and its relation to the solution of the Arnol’d conjecture on the minimal number of non-degenerate fixed points of a Hamiltonian diffeomorphism.\u003c\/p\u003e\n\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-02-27\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319714271\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-71428-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 128\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45369834045580,"sku":"9783319714271","price":35.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319714271.jpg?v=1775675645","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319714271","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}