Classical mechanics : systems of particles and Hamiltonian dynamics
著者
書誌事項
Classical mechanics : systems of particles and Hamiltonian dynamics
Springer, c2010
2nd ed
- : softcover
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注記
"Translated from the German Mechanik : Teil 2, by Walter Greiner, published by Verlag Harri Deutsch, Thun, Frankfurt am Main, Germany, c1989"
Includes bibliographical references and index
内容説明・目次
内容説明
More than a generation of German-speaking students around the world have worked theirwaytoanunderstandingandappreciationofthepowerandbeautyofmodernt- oretical physics-with mathematics, the most fundamental of sciences-using Walter Greiner's textbooks as their guide. The idea of developing a coherent, complete presentation of an entire eld of s- ence in a series of closely related textbooks is not a new one. Many older physicians remember with real pleasure their sense of adventure and discovery as they worked their ways through the classic series by Sommerfeld, by Planck, and by Landau and Lifshitz. From the students' viewpoint, there are a great many obvious advantages to be gained through the use of consistent notation, logical ordering of topics, and - herence of presentation; beyond this, the complete coverage of the science provides a unique opportunity for the author to convey his personal enthusiasm and love for his subject. These volumes on classical physics, nally available in English, complement Greiner's texts on quantum physics, most of which have been available to Engli- speaking audiences for some time.
The complete set of books will thus provide a coherent view of physics that includes, in classical physics, thermodynamics and s- tistical mechanics, classical dynamics, electromagnetism, and general relativity; and in quantumphysics, quantummechanics,symmetries, relativistic quantummechanics, quantum electro- and chromodynamics, and the gauge theory of weak interactions.
目次
Newtonian Mechanics in Moving Coordinate Systems.- Newton's Equations in a Rotating Coordinate System.- Free Fall on the Rotating Earth.- Foucault's Pendulum.- Mechanics of Particle Systems.- Degrees of Freedom.- Center of Gravity.- Mechanical Fundamental Quantities of Systems of Mass Points.- Vibrating Systems.- Vibrations of Coupled Mass Points.- The Vibrating String.- Fourier Series.- The Vibrating Membrane.- Mechanics of Rigid Bodies.- Rotation About a Fixed Axis.- Rotation About a Point.- Theory of the Top.- Lagrange Equations.- Generalized Coordinates.- D'Alembert Principle and Derivation of the Lagrange Equations.- Lagrange Equation for Nonholonomic Constraints.- Special Problems.- Hamiltonian Theory.- Hamilton's Equations.- Canonical Transformations.- Hamilton-Jacobi Theory.- Extended Hamilton-Lagrange Formalism.- Extended Hamilton-Jacobi Equation.- Nonlinear Dynamics.- Dynamical Systems.- Stability of Time-Dependent Paths.- Bifurcations.- Lyapunov Exponents and Chaos.- Systems with Chaotic Dynamics.- On the History of Mechanics.- Emergence of Occidental Physics in the Seventeenth Century.
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