Ordinary differential equations /

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There are dozens of books on ODEs, but none with the elegant geometric insight of Arnol'd's book. Arnol'd puts a clear emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on the routine presentation of algorithms for solving special classes of...

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Detalles Bibliográficos
Clasificación:QA372 A7.13b 1992
Autor principal: Arnol'd, V. I. (Vladimir Igorevich), 1937-2010 (autor)
Otros Autores: Arnol'd, V. I.(Vladimir Igorevich), 1937-2010, Cooke, Roger, 1942- (traductor)
Formato: Libro
Idioma:Inglés
Ruso
Publicado: Berlin : New York : Springer-Verlag, [1992].
Edición:3a ed.
Colección:Springer Textbook
Temas:
Differential equations
Ecuaciones diferenciales
Linear systems
Sistemas lineales
Tabla de Contenidos:
  • Chapter I. Basic concepts.
  • Vector fields on the line.
  • Linear equations.
  • Phase flows.
  • Action of diffeomorphism on vector fields and direction fields
  • Symetrics.
  • Chapter II. Basic theorems.
  • Chapter III. Linear systems.
  • Chapter IV. Proofs of the main theorems.
  • Chapter V. Differential equations on manifolds.

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