國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Mathematical physicsclassical mechan...

Knauf, Andreas.

Mathematical physicsclassical mechanics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical physicsby Andreas Knauf.
其他題名:	classical mechanics /
作者:	Knauf, Andreas.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg :2018.
面頁冊數:	xiv, 683 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematical physics.
電子資源:	http://dx.doi.org/10.1007/978-3-662-55774-7
ISBN:	9783662557747$q(electronic bk.)

Mathematical physicsclassical mechanics /
Knauf, Andreas.

Mathematical physicsclassical mechanics /[electronic resource] :by Andreas Knauf. - Berlin, Heidelberg :Springer Berlin Heidelberg :2018. - xiv, 683 p. :ill. (some col.), digital ;24 cm. - UNITEXT,v.1092038-5714 ;. - UNITEXT ;v.73..

Remarks on Mathematial Physics -- 1 Introduction -- 2 Dynamical Systems -- 3 Ordinary Differential Equations -- 4 Linear Dynamics -- 5 Classification of Linear Flows -- 6 Hamiltonian Equations and Symplectic Group -- 7 Stability Theory -- 8 Variational Principles -- 9 Ergodic Theory -- 10 Symplectic Geometry -- 11 Motion in a Potential -- 12 Scattering Theory -- 13 Integrable Systems and Symmetries -- 14 Rigid and Non-Rigid Bodies -- 15 Perturbation Theory -- 16 Relativistic Mechanics -- 17 Symplectic Topology -- A Topological Spaces and Manifolds -- B Differential Forms -- C Convexity and Legendre Transform -- D Fixed Point Theorems, and Results about Inverse Images -- E Group Theory -- F Bundles, Connection, Curvature -- G Morse Theory -- H Solutions of the Exercises -- Bibiography -- Index of Proper Names -- Table of Symbols -- Image Credits -- Index.

As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.

ISBN: 9783662557747$q(electronic bk.)

Standard No.: 10.1007/978-3-662-55774-7doiSubjects--Topical Terms:

190854
Mathematical physics.

LC Class. No.: QC20

Dewey Class. No.: 530.15

Mathematical physicsclassical mechanics /
LDR:02746nmm a2200337 a 4500 001 531969
003 DE-He213
005 20180224224043.0
006 m d
007 cr nn 008maaau
008 181113s2018 gw s 0 eng d
020 $a 9783662557747$q(electronic bk.)
020 $a 9783662557723$q(paper)
024 7 $a 10.1007/978-3-662-55774-7 $2 doi
035 $a 978-3-662-55774-7
040 $a GP $c GP
041 0 $a eng $h ger
050 4 $a QC20
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
082 0 4 $a 530.15 $2 23
090 $a QC20 $b .K67 2018
100 1 $a Knauf, Andreas. $3 806734
240 1 0 $a Mathematische Physik. $l English
245 1 0 $a Mathematical physics $h [electronic resource] : $b classical mechanics / $c by Andreas Knauf.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2018.
300 $a xiv, 683 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a UNITEXT, $x 2038-5714 ; $v v.109
505 0 $a Remarks on Mathematial Physics -- 1 Introduction -- 2 Dynamical Systems -- 3 Ordinary Differential Equations -- 4 Linear Dynamics -- 5 Classification of Linear Flows -- 6 Hamiltonian Equations and Symplectic Group -- 7 Stability Theory -- 8 Variational Principles -- 9 Ergodic Theory -- 10 Symplectic Geometry -- 11 Motion in a Potential -- 12 Scattering Theory -- 13 Integrable Systems and Symmetries -- 14 Rigid and Non-Rigid Bodies -- 15 Perturbation Theory -- 16 Relativistic Mechanics -- 17 Symplectic Topology -- A Topological Spaces and Manifolds -- B Differential Forms -- C Convexity and Legendre Transform -- D Fixed Point Theorems, and Results about Inverse Images -- E Group Theory -- F Bundles, Connection, Curvature -- G Morse Theory -- H Solutions of the Exercises -- Bibiography -- Index of Proper Names -- Table of Symbols -- Image Credits -- Index.
520 $a As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.
650 0 $a Mathematical physics. $3 190854
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 376743
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a UNITEXT ; $v v.73. $3 681709
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-55774-7
950 $a Mathematics and Statistics (Springer-11649)