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力學(第3版朗道理論物理學教程)(英文版)

  • 作者:(俄羅斯)L.D.朗道//E.M.栗弗席茲|責編:高蓉//李黎
  • 出版社:世圖出版公司
  • ISBN:9787519283285
  • 出版日期:2021/02/01
  • 裝幀:平裝
  • 頁數:170
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內容大鋼
    本書將力學作為理論物理學的一部分來介紹,首先從廣義坐標和最小作用量原理導出拉格朗日方程,以後分別論述守恆定律、運動方程的積分、質點碰撞理論、微振動和剛體運動理論,最後詳細論述了哈密頓方程和正則變換等相關課題。
    本書以簡潔的敘述給出了解決力學問題的最完全和最直接的方法。

作者介紹
(俄羅斯)L.D.朗道//E.M.栗弗席茲|責編:高蓉//李黎

目錄
Preface to the third English edition
L.D.Landau-a biography
I.?HE EQUATIONS OF MOTION
  §1.Generalised co-ordinates
  §2.The principle of least action
  §3. Galileo's relativity principle
  §4.The Lagrangian for a free particle
  §5.The Lagrangian for a system of particles
II.CONSERVATION LAWS
  §6.Energy
  §7.Momentum
  §8.Centre of mass
  §9.Angular momentum
  §10.Mechanical similarity
III.INTEGRATION OF THE EQUATIONS OF MOTION
  §11.Motion in one dimension
  §12.Determination of the potential energy from the period of oscillation
  §13.The reduced mass
  §14. Motion in a central field
  §15.Kepler's problem
IV.COLLISIONS BETWEEN PARTICLES
  §16.Disintegration of particles
  §17.Elastic collisions
  §18.Scattering
  §19.Rutherford's formula
  §20.Small-angle scattering
V.SMALL OSCILLATIONS
  §21.Free oscillations in one dimension
  §22.Forced oscillations
  §23.Oscillations of systems with more than one degree of freedom
  §24.Vibrations of molecules
  §25.Damped oscillations
  §26.Forced oscillations under friction
  §27.Parametric resonance
  §28.Anharmonic oscillations
  §29.Resonance in non-linear oscillations
  §30.Motion in a rapidly oscillating field
VI.MOTION OF A RIGID BODY
  §31.Angular velocity
  §32.The inertia tensor
  §33.Angular momentum of a rigid body
  §34.The equations of motion of a rigid body
  §35.Eulerian angles
  §36.Euler's equations
  §37.The asymmetrical top
  §38.Rigid bodies in contact
  §39. Motion in a non-inertial frame of reference
VII.THE CANONICAL EQUATIONS
  §40.Hamilton's equations
  §41.The Routhian

  §42.Poisson brackets
  §43.The action as a function of the co-ordinates
  §44.Maupertuis'principle
  §45.Canonical transformations
  §46.Liouville's theorem
  §47.The Hamilton-Jacobi equation
  §48.Separation of the variables
  §49.Adiabatic invariants
  §50.Canonical variables
  §51.Accuracy of conservation of the adiabatic invariant
  §52.Conditionally periodic motion
Index

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