Local Methods in Nonlinear Differential Equations: Part I the Local Method of Nonlinear Analysis of Differential Equations Part II the Sets of Analyticity of a Normalizing Transformation
Local Methods in Nonlinear Differential Equations: Part I the Local Method of Nonlinear Analysis of Differential Equations Part II the Sets of Analyticity of a Normalizing Transformation
The method of normal forms is usually attributed to Poincar??? 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 ...
Read More
The method of normal forms is usually attributed to Poincar??? 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.
Read Less
Add this copy of Local Methods in Nonlinear Differential Equations to cart. $33.04, fair condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1989 by Springer-Verlag Berlin And Heidelberg Gmbh & Co. K.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 700grams, ISBN: 3540189262.
Add this copy of Local Methods in Nonlinear Differential Equations: Part to cart. $112.32, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2011 by Springer.
Add this copy of Local Methods in Nonlinear Differential Equations: Part to cart. $159.62, very good condition, Sold by Fireside Bookshop rated 4.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1989 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Very Good in No d/j as Published jacket. Size: 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.
All Editions of Local Methods in Nonlinear Differential Equations: Part I the Local Method of Nonlinear Analysis of Differential Equations Part II the Sets of Analyticity of a Normalizing Transformation
