國立高雄大學圖資館 |

Language: English

Back

Geometry and dynamics of integrable ...

Bolsinov, Alexey.

Geometry and dynamics of integrable systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometry and dynamics of integrable systemsby Alexey Bolsinov ... [et al.].
other author:	Bolsinov, Alexey.
Published:	Cham :Springer International Publishing :2016.
Description:	viii, 140 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Integral geometry.
Online resource:	http://dx.doi.org/10.1007/978-3-319-33503-2
ISBN:	9783319335032$q(electronic bk.)

Geometry and dynamics of integrable systems
Geometry and dynamics of integrable systems[electronic resource] /by Alexey Bolsinov ... [et al.]. - Cham :Springer International Publishing :2016. - viii, 140 p. :ill. (some col.), digital ;24 cm. - Advanced courses in mathematics, CRM Barcelona,2297-0304. - Advanced courses in mathematics, CRM Barcelona..

Integrable Systems and Differential Galois Theory -- Singularities of bi-Hamiltonian Systems and Stability Analysis -- Geometry of Integrable non-Hamiltonian Systems.

Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matematica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry) As such, the book will appeal to experts with a wide range of backgrounds.

ISBN: 9783319335032$q(electronic bk.)

Standard No.: 10.1007/978-3-319-33503-2doiSubjects--Topical Terms:

306357
Integral geometry.

LC Class. No.: QA672

Dewey Class. No.: 516.36

Geometry and dynamics of integrable systems
LDR:02300nmm a2200325 a 4500 001 498438
003 DE-He213
005 20161028075302.0
006 m d
007 cr nn 008maaau
008 170511s2016 gw s 0 eng d
020 $a 9783319335032$q(electronic bk.)
020 $a 9783319335025$q(paper)
024 7 $a 10.1007/978-3-319-33503-2 $2 doi
035 $a 978-3-319-33503-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA672
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 516.36 $2 23
090 $a QA672 $b .G345 2016
245 0 0 $a Geometry and dynamics of integrable systems $h [electronic resource] / $c by Alexey Bolsinov ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2016.
300 $a viii, 140 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Advanced courses in mathematics, CRM Barcelona, $x 2297-0304
505 0 $a Integrable Systems and Differential Galois Theory -- Singularities of bi-Hamiltonian Systems and Stability Analysis -- Geometry of Integrable non-Hamiltonian Systems.
520 $a Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matematica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry) As such, the book will appeal to experts with a wide range of backgrounds.
650 0 $a Integral geometry. $3 306357
650 0 $a Integral equations. $3 185303
650 0 $a Hamiltonian systems. $3 207807
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Differential Geometry. $3 273785
650 2 4 $a Field Theory and Polynomials. $3 274058
700 1 $a Bolsinov, Alexey. $3 761583
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Advanced courses in mathematics, CRM Barcelona. $3 701754
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-33503-2
950 $a Mathematics and Statistics (Springer-11649)