Name: Index Theory for Symplectic Paths With Applications (Progress in Mathematics) (en Inglés)
Price: 629.73 PEN
Availability: InStock
Author: Yiming Long
ISBN: 9783764366476

portada Index Theory for Symplectic Paths With Applications (Progress in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Birkhäuser

Autor

Yiming Long

Año

2002

Idioma

Inglés

N° páginas

408

Encuadernación

Tapa Dura

ISBN

3764366478

ISBN13

9783764366476

N° edición

2002

Categorías

Geometría diferencial y riemanniana

Index Theory for Symplectic Paths With Applications (Progress in Mathematics) (en Inglés)

Yiming Long (Autor) · Birkhäuser · Tapa Dura

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S/ 629,73

S/ 1.259,46

Ahorras: S/ 629,73

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Reseña del libro "Index Theory for Symplectic Paths With Applications (Progress in Mathematics) (en Inglés)"

this book gives a systematic introduction to the index theory for symplectic matrix paths and its iteration theory, as well as applications to periodic solution problems of nonlinear hamiltonian systems. among the topics covered are the algebraic and topological properties of symplectic matrices and groups, the index theory for symplectic paths, relations with other morse-type index theories, bott-type iteration formulae, splitting numbers, precise index iteration formulae, various index iteration inequalities, and common index properties of finitely many symplectic paths. the applications of these concepts yield new approaches to some outstanding problems and important progress on their solutions. particular attention is given to the minimal period solution problem of hamiltonian systems, the existence of infinitely many periodic points of the poincaré map of lagrangian systems on tori, and the multiplicity and stability problems of closed characteristics on convex compact smooth hypersurfaces in 2n-dimensional euclidean vector space.researchers, graduate and postgraduate students from a wide range of areas inside mathematics or physics will benefit from this monograph. teachers of advanced courses in symplectic geometry or hamiltonian systems will also find it an excellent textbook.