Geometrical Themes Inspired by the N-body Problem 1st ed. 2018

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Autor:	Luis Hernandez-Lamoneda, Haydee Herrera, Rafael Herrera
Lehekülgede arv:	128, Täpsustamata
Ilmumisaasta:	2018
Kauba ID:	12327411

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Toote kirjeldus: Geometrical Themes Inspired by the N-body Problem 1st ed. 2018

Presenting 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from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references. A. 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. R. 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. A. 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.

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Kauba ID:	12327411
Kategooria:	Majandusalased raamatud
Tootepakendite arv:	1 tk.
Paki suurus ja kaal (1):	0,03 x 0,16 x 0,24 m, 2,18 kg
Kirjastus:	Springer International Publishing AG
Raamatu keel:	Inglise keel
Kaane tüüp:	Pole informatsiooni
Vorming:	Traditsiooniline raamat
Tüüp:	Täpsustamata
Raamat väljavõttega:	Ei
Autor:	Luis Hernandez-Lamoneda, Haydee Herrera, Rafael Herrera
Lehekülgede arv:	128, Täpsustamata
Ilmumisaasta:	2018

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