東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Perturbation theory = mathematics, m...

Gaeta, Giuseppe.

FindBook

Google Book

Amazon

博客來

Perturbation theory = mathematics, methods and applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Perturbation theory/ edited by Giuseppe Gaeta.
其他題名:	mathematics, methods and applications /
其他作者:	Gaeta, Giuseppe.
出版者:	New York, NY :Springer US : : 2022.,
面頁冊數:	xxvii, 596 p. :ill., digital ;24 cm.
內容註:	Diagrammatic Methods in Classical Perturbation Theory -- Hamiltonian Perturbation Theory (and Transition to Chaos) -- Kolmogorov-Arnold-Moser (KAM) Theory for Finite and Infinite Dimensional Systems -- n-Body Problem and Choreographies -- Nekhoroshev Theory -- Symmetry and Perturbation Theory in Non-linear Dynamics -- Normal Forms in Perturbation Theory -- Perturbation Analysis of Parametric Resonance -- Perturbation of Equilibria in the Mathematical Theory of Evolution -- Perturbation of Systems with Nilpotent Real Part -- Perturbation Theory -- Perturbation Theory in Celestial Mechanics -- Introduction to Perturbation Theory -- Perturbation Theory and Molecular Dynamics -- Perturbation Theory for Non-smooth Systems -- Perturbation Theory for PDEs -- Perturbation Theory in Quantum Mechanics -- Semiclassical Perturbation Theory -- Convergence of Perturbative Expansions -- Quantum Bifurcations -- Perturbation of superintegrable systems -- Computational methods in perturbation theory -- Perturbation theory in general relativity and cosmology -- Perturbation Theory for Water Waves -- Perturbation Theory and the Method of Detuning.
Contained By:	Springer Nature eReference
標題:	Perturbation (Mathematics) -
電子資源:	https://doi.org/10.1007/978-1-0716-2621-4
ISBN:	9781071626214

Perturbation theory = mathematics, methods and applications /
Perturbation theorymathematics, methods and applications /[electronic resource] :edited by Giuseppe Gaeta. - New York, NY :Springer US :2022. - xxvii, 596 p. :ill., digital ;24 cm. - Encyclopedia of complexity and systems science series,2629-2343. - Encyclopedia of complexity and systems science series..

Diagrammatic Methods in Classical Perturbation Theory -- Hamiltonian Perturbation Theory (and Transition to Chaos) -- Kolmogorov-Arnold-Moser (KAM) Theory for Finite and Infinite Dimensional Systems -- n-Body Problem and Choreographies -- Nekhoroshev Theory -- Symmetry and Perturbation Theory in Non-linear Dynamics -- Normal Forms in Perturbation Theory -- Perturbation Analysis of Parametric Resonance -- Perturbation of Equilibria in the Mathematical Theory of Evolution -- Perturbation of Systems with Nilpotent Real Part -- Perturbation Theory -- Perturbation Theory in Celestial Mechanics -- Introduction to Perturbation Theory -- Perturbation Theory and Molecular Dynamics -- Perturbation Theory for Non-smooth Systems -- Perturbation Theory for PDEs -- Perturbation Theory in Quantum Mechanics -- Semiclassical Perturbation Theory -- Convergence of Perturbative Expansions -- Quantum Bifurcations -- Perturbation of superintegrable systems -- Computational methods in perturbation theory -- Perturbation theory in general relativity and cosmology -- Perturbation Theory for Water Waves -- Perturbation Theory and the Method of Detuning.

This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare'-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.

ISBN: 9781071626214

Standard No.: 10.1007/978-1-0716-2621-4doiSubjects--Topical Terms:

518241
Perturbation (Mathematics)

LC Class. No.: QA871

Dewey Class. No.: 515.392

Perturbation theory = mathematics, methods and applications /
LDR:04074nmm a2200349 a 4500 001 2307091
003 DE-He213
005 20221216091924.0
006 m d
007 cr nn 008maaau
008 230421s2022 nyu s 0 eng d
020 $a 9781071626214 $q (electronic bk.)
020 $a 9781071626207 $q (paper)
024 7 $a 10.1007/978-1-0716-2621-4 $2 doi
035 $a 978-1-0716-2621-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA871
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 515.392 $2 23
090 $a QA871 $b .P469 2022
245 0 0 $a Perturbation theory $h [electronic resource] : $b mathematics, methods and applications / $c edited by Giuseppe Gaeta.
260 $a New York, NY : $b Springer US : $b Imprint: Springer, $c 2022.
300 $a xxvii, 596 p. : $b ill., digital ; $c 24 cm.
490 1 $a Encyclopedia of complexity and systems science series, $x 2629-2343
505 0 $a Diagrammatic Methods in Classical Perturbation Theory -- Hamiltonian Perturbation Theory (and Transition to Chaos) -- Kolmogorov-Arnold-Moser (KAM) Theory for Finite and Infinite Dimensional Systems -- n-Body Problem and Choreographies -- Nekhoroshev Theory -- Symmetry and Perturbation Theory in Non-linear Dynamics -- Normal Forms in Perturbation Theory -- Perturbation Analysis of Parametric Resonance -- Perturbation of Equilibria in the Mathematical Theory of Evolution -- Perturbation of Systems with Nilpotent Real Part -- Perturbation Theory -- Perturbation Theory in Celestial Mechanics -- Introduction to Perturbation Theory -- Perturbation Theory and Molecular Dynamics -- Perturbation Theory for Non-smooth Systems -- Perturbation Theory for PDEs -- Perturbation Theory in Quantum Mechanics -- Semiclassical Perturbation Theory -- Convergence of Perturbative Expansions -- Quantum Bifurcations -- Perturbation of superintegrable systems -- Computational methods in perturbation theory -- Perturbation theory in general relativity and cosmology -- Perturbation Theory for Water Waves -- Perturbation Theory and the Method of Detuning.
520 $a This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare'-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.
650 0 $a Perturbation (Mathematics) $3 518241
700 1 $a Gaeta, Giuseppe. $3 663894
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eReference
830 0 $a Encyclopedia of complexity and systems science series. $3 3409316
856 4 0 $u https://doi.org/10.1007/978-1-0716-2621-4
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Reference Module Physical and Materials Science (SpringerNature-43751)