國立虎尾科技大學 |

Geometry and Dynamics of Integrable Systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Geometry and Dynamics of Integrable Systems/ by Alexey Bolsinov, Juan J. Morales-Ruiz, Nguyen Tien Zung ; edited by Eva Miranda, Vladimir Matveev.
Author:	Bolsinov, Alexey.
other author:	Morales-Ruiz, Juan J.
Description:	VIII, 140 p. 22 illus., 3 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Dynamics. -
Online resource:	https://doi.org/10.1007/978-3-319-33503-2
ISBN:	9783319335032

Geometry and Dynamics of Integrable Systems
Bolsinov, Alexey.

Geometry and Dynamics of Integrable Systems[electronic resource] /by Alexey Bolsinov, Juan J. Morales-Ruiz, Nguyen Tien Zung ; edited by Eva Miranda, Vladimir Matveev. - 1st ed. 2016. - VIII, 140 p. 22 illus., 3 illus. in color.online resource. - 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 Matemàtica 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

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

592238
Dynamics.

LC Class. No.: QA313

Dewey Class. No.: 515.39

Geometry and Dynamics of Integrable Systems
LDR:02770nam a22004095i 4500 001 971790
003 DE-He213
005 20200704054559.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319335032 $9 978-3-319-33503-2
024 7 $a 10.1007/978-3-319-33503-2 $2 doi
035 $a 978-3-319-33503-2
050 4 $a QA313
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBWR $2 thema
082 0 4 $a 515.39 $2 23
082 0 4 $a 515.48 $2 23
100 1 $a Bolsinov, Alexey. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1114873
245 1 0 $a Geometry and Dynamics of Integrable Systems $h [electronic resource] / $c by Alexey Bolsinov, Juan J. Morales-Ruiz, Nguyen Tien Zung ; edited by Eva Miranda, Vladimir Matveev.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2016.
300 $a VIII, 140 p. 22 illus., 3 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 Matemàtica 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 Dynamics. $3 592238
650 0 $a Ergodic theory. $3 672355
650 0 $a Differential geometry. $3 882213
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Field theory (Physics). $3 685987
650 1 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 2 4 $a Differential Geometry. $3 671118
650 2 4 $a Field Theory and Polynomials. $3 672025
700 1 $a Morales-Ruiz, Juan J. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1267088
700 1 $a Zung, Nguyen Tien. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 672653
700 1 $a Miranda, Eva. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1267089
700 1 $a Matveev, Vladimir. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1267090
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319335025
776 0 8 $i Printed edition: $z 9783319335049
830 0 $a Advanced Courses in Mathematics - CRM Barcelona, $x 2297-0304 $3 1257135
856 4 0 $u https://doi.org/10.1007/978-3-319-33503-2
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)