0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry

Buy Now

Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds - Classical and Quantum Aspects (Hardcover, 1998 ed.) Loot Price: R3,201
Discovery Miles 32 010
Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds - Classical and Quantum Aspects (Hardcover, 1998 ed.): A....

Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds - Classical and Quantum Aspects (Hardcover, 1998 ed.)

A. K. Prykarpatsky, I. V. Mykytiuk

Series: Mathematics and Its Applications, 443

 (sign in to rate)
Loot Price R3,201 Discovery Miles 32 010 | Repayment Terms: R300 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures, given in the majority of cases by Poisson brackets. Very often such Poisson structures on corresponding manifolds are canonical, which gives rise to the possibility of producing their hidden group theoretical essence for many completely integrable dynamical systems. It is a well understood fact that great part of comprehensive integrability theories of nonlinear dynamical systems on manifolds is based on Lie-algebraic ideas, by means of which, in particular, the classification of such compatibly bi Hamiltonian and isospectrally Lax type integrable systems has been carried out. Many chapters of this book are devoted to their description, but to our regret so far the work has not been completed. Hereby our main goal in each analysed case consists in separating the basic algebraic essence responsible for the complete integrability, and which is, at the same time, in some sense universal, i. e., characteristic for all of them. Integrability analysis in the framework of a gradient-holonomic algorithm, devised in this book, is fulfilled through three stages: 1) finding a symplectic structure (Poisson bracket) transforming an original dynamical system into a Hamiltonian form; 2) finding first integrals (action variables or conservation laws); 3) defining an additional set of variables and some functional operator quantities with completely controlled evolutions (for instance, as Lax type representation)."

General

Imprint: Springer
Country of origin: Netherlands
Series: Mathematics and Its Applications, 443
Release date: 2001
First published: 1998
Authors: A. K. Prykarpatsky • I. V. Mykytiuk
Dimensions: 244 x 170 x 31mm (L x W x T)
Format: Hardcover
Pages: 559
Edition: 1998 ed.
ISBN-13: 978-0-7923-5090-3
Categories: Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
Promotions
LSN: 0-7923-5090-1
Barcode: 9780792350903

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Introduction to Symplectic Topology
Dusa McDuff, Dietmar Salamon Hardcover R3,840 Discovery Miles 38 400
Topics in Cyclic Theory
Daniel G. Quillen, Gordon Blower Hardcover R3,402 Discovery Miles 34 020
Lectures on Poisson Geometry
Marius Crainic, Rui Loja Fernandes, … Paperback R2,269 Discovery Miles 22 690
Quantum Gravity in a Nutshell1
Balungi Francis Hardcover R1,376 R1,139 Discovery Miles 11 390
Instanton Counting, Quantum Geometry and…
Taro Kimura Hardcover R3,904 Discovery Miles 39 040
Directed Quantities in Electrodynamics
Bernard Jancewicz Hardcover R3,653 Discovery Miles 36 530
One Hundred Years of Gauge Theory…
Silvia De Bianchi, Claus Kiefer Hardcover R3,159 Discovery Miles 31 590
A Perspective on Canonical Riemannian…
Giovanni Catino, Paolo Mastrolia Hardcover R3,388 Discovery Miles 33 880
Extrinsic Geometry of Foliations
Vladimir Rovenski, Pawel Walczak Hardcover R3,407 Discovery Miles 34 070
Handbook of Differential Geometry
Franki J.e. Dillen, Leopold C.a. Verstraelen Hardcover R8,354 R5,717 Discovery Miles 57 170
Drop Heating and Evaporation: Analytical…
Gianpietro Elvio Cossali, Simona Tonini Hardcover R2,938 Discovery Miles 29 380
Introduction to Arithmetic Groups
Dave Witte Morris Hardcover R758 Discovery Miles 7 580

See more

Partners