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

Analytical mechanics

Helrich, Carl S.

Analytical mechanics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Analytical mechanicsby Carl S. Helrich.
作者:	Helrich, Carl S.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	xv, 349 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mechanics, Analytic.
電子資源:	http://dx.doi.org/10.1007/978-3-319-44491-8
ISBN:	9783319444918$q(electronic bk.)

Analytical mechanics
Helrich, Carl S.

Analytical mechanics[electronic resource] /by Carl S. Helrich. - Cham :Springer International Publishing :2017. - xv, 349 p. :ill., digital ;24 cm. - Undergraduate lecture notes in physics,2192-4791. - Undergraduate lecture notes in physics..

History -- Lagrangian Mechanics -- Hamiltonian Mechanics -- Solid Bodies -- Hamilton-Jacobi Approach -- Complex Systems -- Chaos in Dynamical Systems -- Special Relativity -- Appendices -- Differential of S -- Hamilton-Jacobi Equation -- With Variables p, q, q -- Zero-Component Lemma -- Maxwell Equations from Field Strength Tensor -- Differential Operators -- Answers to Selected Exercises.

This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.

ISBN: 9783319444918$q(electronic bk.)

Standard No.: 10.1007/978-3-319-44491-8doiSubjects--Topical Terms:

190293
Mechanics, Analytic.

LC Class. No.: QA805

Dewey Class. No.: 531.01515

Analytical mechanics
LDR:02403nmm a2200325 a 4500 001 508065
003 DE-He213
005 20161001105420.0
006 m d
007 cr nn 008maaau
008 171031s2017 gw s 0 eng d
020 $a 9783319444918$q(electronic bk.)
020 $a 9783319444901$q(paper)
024 7 $a 10.1007/978-3-319-44491-8 $2 doi
035 $a 978-3-319-44491-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA805
072 7 $a PHD $2 bicssc
072 7 $a SCI041000 $2 bisacsh
082 0 4 $a 531.01515 $2 23
090 $a QA805 $b .H484 2017
100 1 $a Helrich, Carl S. $3 338271
245 1 0 $a Analytical mechanics $h [electronic resource] / $c by Carl S. Helrich.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xv, 349 p. : $b ill., digital ; $c 24 cm.
490 1 $a Undergraduate lecture notes in physics, $x 2192-4791
505 0 $a History -- Lagrangian Mechanics -- Hamiltonian Mechanics -- Solid Bodies -- Hamilton-Jacobi Approach -- Complex Systems -- Chaos in Dynamical Systems -- Special Relativity -- Appendices -- Differential of S -- Hamilton-Jacobi Equation -- With Variables p, q, q -- Zero-Component Lemma -- Maxwell Equations from Field Strength Tensor -- Differential Operators -- Answers to Selected Exercises.
520 $a This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.
650 0 $a Mechanics, Analytic. $3 190293
650 1 4 $a Physics. $3 179414
650 2 4 $a Classical Mechanics. $3 769955
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Theoretical and Applied Mechanics. $3 274501
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Undergraduate lecture notes in physics. $3 558981
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-44491-8
950 $a Physics and Astronomy (Springer-11651)