Classical mechanics : transformations, flows, integrable, and chaotic dynamics

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Classical mechanics : transformations, flows, integrable, and chaotic dynamics / Joseph L. McCauley

資料種別:: 図書
出版情報:: Cambridge ; New York : Cambridge University Press, 1997
形態:: xvii, 469 p. ; 25 cm
著者名:: McCauley, Joseph L. <DA0714452X>
ISBN:: 9780521481328 [0521481325] (: hc.)
9780521578820 [0521578825] (: pbk.)
書誌ID:: BA30084535

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注記:

Includes bibliographical references (p. [452]-466) and index

主題:

Mechanics

言語:

英語

目次情報:

Introduction

Universal laws of nature / 1：

Lagrange's and Hamilton's equations / 2：

Flows in phase space / 3：

Motion in a central potential / 4：

Small oscillations about equilibria / 5：

Integrable and chaotic oscillations / 6：

Parameter-dependent transformations / 7：

Linear transformations, rotations and rotating frames / 8：

Rigid body dynamics / 9：

Lagrangian dynamics and transformations in configuration space / 10：

Relativity, geometry, and gravity / 11：

Generalized vs. nonholonomic coordinates / 12：

Noncanonical flows / 13：

Damped driven Newtonian systems / 14：

Hamiltonian dynamics and transformations in phase space / 15：

Integrable canonical flows / 16：

Nonintegrable canonical flows / 17：

Simulations, complexity, and laws of nature / 18：

An apology

The beginning of the journey to the small: cutting paper

To molecules and atoms

The magic mystery of the quanta

Dazzling velocities

The elementary particle zoo before 1970

Life and death

The crazy kaons

The invisible quarks

Fields or bootstraps?

The Yang-Mills bonanza

Superconducting empty space: the Higgs-Kibble machine

Models

Colouring in the strong forces

The magnetic monopole

Gypsy

The brilliance of the standard model

Anomalies

Deceptive perfection

Weighing neutrinos / 19：

The great desert / 20：

Technicolor / 21：

Grand unification / 22：

Supergravity / 23：

Eleven dimensional space-time / 24：

Attaching the super string / 25：

Into the black hole / 26：

Theories that do not yet exist / 27：

Dominance of the rule of the smallest / 28：

Introduction

Universal laws of nature / 1：

Lagrange's and Hamilton's equations / 2：

Flows in phase space / 3：

Motion in a central potential / 4：

Small oscillations about equilibria / 5：

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