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Local Methods in Nonlinear Differential Equations: Part I The Local Method of Nonlinear Analysis of Differential Equations Part II The Sets of (Springer Series in Soviet Mathematics)

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Local Methods in Nonlinear Differential Equations: Part I The Local Method of Nonlinear Analysis of Differential Equations Part II The Sets of (Springer Series in Soviet Mathematics) Cloth/laminated boards - 1989

by Alexander D. Bruno

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  • Hardback
Used - Very good

Description

USA: Springer, 1989. Cloth/Laminated Boards. Very Good/No d/j as Published. 8vo - over 7¾" - 9¾" tall. Type: Book N.B. Small label to front paste down and ffep. Light rubbing to edges of boards. Corners of boards slightly bumped. Some very light marks to boards.
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Details

  • Title Local Methods in Nonlinear Differential Equations: Part I The Local Method of Nonlinear Analysis of Differential Equations Part II The Sets of (Springer Series in Soviet Mathematics)
  • Author Alexander D. Bruno
  • Binding Hardback
  • Condition Used - Very good
  • Pages 348
  • Volumes 1
  • Language ENG
  • Publisher Springer, USA
  • Publication date 1989
  • Bookseller's Inventory # 051145
  • ISBN 9783540189268 / 3540189262
  • Weight 1.42 lbs (0.64 kg)
  • Size 8vo - over 7¾"
  • Category Mathematics
  • Dewey Decimal Code 512
  • Quantity available 1
  • Bookseller catalogues MATHEMATICS

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Reader reviews for Local Methods in Nonlinear Differential Equations: Part I The Local Method of Nonlinear Analysis of Differential Equations Part II The Sets of (Springer Series in Soviet Mathematics)

From the publisher

The method of normal forms is usually attributed to Poincare although some of the basic ideas of the method can be found in earlier works of Jacobi, Briot and Bouquet. In this book, A.D.Bruno gives an account of the work of these mathematicians and further developments as well as the results of his own extensive investigations on the subject. The book begins with a thorough presentation of the analytical techniques necessary for the implementation of the theory as well as an extensive description of the geometry of the Newton polygon. It then proceeds to discuss the normal form of systems of ordinary differential equations giving many specific applications of the theory. An underlying theme of the book is the unifying nature of the method of normal forms regarding techniques for the study of the local properties of ordinary differential equations. In the second part of the book it is shown, for a special class of equations, how the method of normal forms yields classical results of Lyapunov concerning families of periodic orbits in the neighborhood of equilibrium points of Hamiltonian systems as well as the more modern results concerning families of quasiperiodic orbits obtained by Kolmogorov, Arnold and Moser. The book is intended for mathematicians, theoretical mechanicians, and physicists. It is suitable for advanced undergraduate and graduate students."
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