Name: The Restricted Three-Body Problem and Holomorphic Curves (Pathways in Mathematics) (en Inglés)
SKU: 50882534
Price: 110.37 USD
Availability: InStock
Author: Urs Frauenfelder; Otto Van Koert

portada The Restricted Three-Body Problem and Holomorphic Curves (Pathways in Mathematics) (en Inglés)

The Restricted Three-Body Problem and Holomorphic Curves (Pathways in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Birkhäuser

Autor

Urs Frauenfelder; Otto Van Koert

Año

2018

Idioma

Inglés

N° páginas

374

Encuadernación

Tapa Dura

ISBN13

9783319722771

N° edición

Categorías

Cálculo

The Restricted Three-Body Problem and Holomorphic Curves (Pathways in Mathematics) (en Inglés)

Urs Frauenfelder; Otto Van Koert (Autor) · Birkhäuser · Tapa Dura

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Reseña del libro "The Restricted Three-Body Problem and Holomorphic Curves (Pathways in Mathematics) (en Inglés)"

The book serves as an introduction to holomorphic curves in symplectic manifolds, focusing on the case of four-dimensional symplectizations and symplectic cobordisms, and their applications to celestial mechanics. The authors study the restricted three-body problem using recent techniques coming from the theory of pseudo-holomorphic curves. The book starts with an introduction to relevant topics in symplectic topology and Hamiltonian dynamics before introducing some well-known systems from celestial mechanics, such as the Kepler problem and the restricted three-body problem. After an overview of different regularizations of these systems, the book continues with a discussion of periodic orbits and global surfaces of section for these and more general systems. The second half of the book is primarily dedicated to developing the theory of holomorphic curves - specifically the theory of fast finite energy planes - to elucidate the proofs of the existence results for global surfaces of section stated earlier. The book closes with a chapter summarizing the results of some numerical experiments related to finding periodic orbits and global surfaces of sections in the restricted three-body problem.This book is also part of the Virtual Series on Symplectic Geometryhttp://www.springer.com/series/16019