Overview

Full Product Details

Author:   Mark Adler ,  Pierre van Moerbeke ,  Pol Vanhaecke
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 2004
Volume:   47
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   0.759kg
ISBN:  

9783642061288

ISBN 10:   3642061281
Pages:   484
Publication Date:   18 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1 Introduction.- 2 Lie Algebras.- 3 Poisson Manifolds.- 4 Integrable Systems on Poisson Manifolds.- 5 The Geometry of Abelian Varieties.- 6 A.c.i. Systems.- 7 Weight Homogeneous A.c.i. Systems.- 8 Integrable Geodesic Flow on SO(4).- 9 Periodic Toda Lattices Associated to Cartan Matrices.- 10 Integrable Spinning Tops.- References.

Reviews

Aus den Rezensionen: ! Um das Noether-Prinzip prazise zu formulieren, muss man einen begrifflichen Rahmen wahlen ! Das vorliegende Buch benutzt die Poissongeometrie ! als einen solchen Rahmen. ! Das vorliegende Buch ist die erste Darstellung des Themenkomplexes in Buchform. Die Autoren haben es als Lehrbuch mit einem weiten Adressatenkreis konzipiert. Dabei hatten sie die schwierige Aufgabe zu bewaltigen, im richtigen Umfang Hintergrundinformationen anzubieten, ohne sich in zusammenhangslosen Einfuhrungen in die relevanten mathematischen Gebiete zu verlieren. Ich denke, dies ist ihnen sehr gut gelungen ! (J. Hilgert, in: Jahresbericht der Deutschen Mathematiker-Vereinigung, 2007, Vol. 107, Issue 1, S. 4-6)

From the reviews of the first edition: The aim of this book is to explain 'how algebraic geometry, Lie theory and Painleve analysis can be used to explicitly solve integrable differential equations'. ... One of the main advantages of this book is that the authors ... succeeded to present the material in a self-contained manner with numerous examples. As a result it can be also used as a reference book for many subjects in mathematics. In summary ... a very good book which covers many interesting subjects in modern mathematical physics. (Vladimir Mangazeev, The Australian Mathematical Society Gazette, Vol. 33 (4), 2006) This is an extensive volume devoted to the integrability of nonlinear Hamiltonian differential equations. The book is designed as a teaching textbook and aims at a wide readership of mathematicians and physicists, graduate students and professionals. ... The book provides many useful tools and techniques in the field of completely integrable systems. It is a valuable source for graduate students and researchers who like to enter the integrability theory or to learn fascinating aspects of integrable geometry of nonlinear differential equations. (Ma Wen-Xiu, Zentralblatt MATH, Vol. 1083, 2006)

From the reviews of the first edition: The aim of this book is to explain 'how algebraic geometry, Lie theory and Painleve analysis can be used to explicitly solve integrable differential equations'. ! One of the main advantages of this book is that the authors ! succeeded to present the material in a self-contained manner with numerous examples. As a result it can be also used as a reference book for many subjects in mathematics. In summary ! a very good book which covers many interesting subjects in modern mathematical physics. (Vladimir Mangazeev, The Australian Mathematical Society Gazette, Vol. 33 (4), 2006) This is an extensive volume devoted to the integrability of nonlinear Hamiltonian differential equations. The book is designed as a teaching textbook and aims at a wide readership of mathematicians and physicists, graduate students and professionals. ! The book provides many useful tools and techniques in the field of completely integrable systems. It is a valuable source for graduate students and researchers who like to enter the integrability theory or to learn fascinating aspects of integrable geometry of nonlinear differential equations. (Ma Wen-Xiu, Zentralblatt MATH, Vol. 1083, 2006)

From the reviews of the first edition: The aim of this book is to explain `how algebraic geometry, Lie theory and Painleve analysis can be used to explicitly solve integrable differential equations'. ... One of the main advantages of this book is that the authors ... succeeded to present the material in a self-contained manner with numerous examples. As a result it can be also used as a reference book for many subjects in mathematics. In summary ... a very good book which covers many interesting subjects in modern mathematical physics. (Vladimir Mangazeev, The Australian Mathematical Society Gazette, Vol. 33 (4), 2006) This is an extensive volume devoted to the integrability of nonlinear Hamiltonian differential equations. The book is designed as a teaching textbook and aims at a wide readership of mathematicians and physicists, graduate students and professionals. ... The book provides many useful tools and techniques in the field of completely integrable systems. It is a valuable source for graduate students and researchers who like to enter the integrability theory or to learn fascinating aspects of integrable geometry of nonlinear differential equations. (Ma Wen-Xiu, Zentralblatt MATH, Vol. 1083, 2006)

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions