تحميل ملخص الفيزياء الجامعية (محاضرات في الميكانيكا التقليدية)
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كتاب المحاضرات في الفيزياء الكلاسيكية عبارة عن مجموعة من المحاضرات بشكل ملخص شامل للمواضيع المقررة لطلاب اقسام الرياضيات والفيزياء في مرحلة البكالوريوس وتغطي المحاضرات مواضيع الميكانيكا وقوانين نيوتن والنظرية النسبية والتصادم والتشتت وايضا بشكل موسع يعالج موضوع اللاجرانج والهاميلتون
معلومات الكتاب :
اسم الكتاب : Lecture Notes on Classical Mechanics
عدد صفحات الكتاب 391
لغة الكتاب الإنجليزية
فئة الكتاب : الفيزياء الجامعية
المؤلف/ المؤلفون :
- Sunil Golwala
Elementary Mechanics
Newtonian Mechanics ,The equation of motion for a single particle ,Angular Motion Energy and Work ,Gravitation ,Gravitational Force ,Gravitational Potential ,Dynamics of Systems of Particles ,Newtonian Mechanical Concepts for Systems of Particles ,The Virial Theorem ,Collisions of Particles
Lagrangian and Hamiltonian Dynamics
The Lagrangian Approach to Mechanics,Degrees of Freedom, Constraints, and Generalized Coordinates ,Virtual Displacement, Virtual Work, and Generalized Forces ,d’Alembert’s Principle and the Generalized Equation of Motion ,The Lagrangian and the Euler-Lagrange Equations ,The Hamiltonian ,Cyclic Coordinates and Canonical Momenta ,Summary ,More examples ,Special Nonconservative Cases ,Symmetry,Transformations, Conserved Quantities, Cyclic Coordinates and,Noether’s Theorem ,Variational Calculus and Dynamics ,The Variational Calculus and the Euler Equation ,The Principle of Least Action and the Euler Lagrange Equation ,Imposing Constraints in Variational Dynamics ,Incorporating Nonholonomic Constraints in Variational Dynamics ,HamiltonianDynamics ,Legendre Transformations and Hamilton’s Equations of Motion
Phase Space and Liouville’s Theorem ,Topics in Theoretical Mechanics ,Canonical Transformations and Generating Functions ,Symplectic Notation ,Poisson Brackets ,Action-Angle Variables and Adiabatic Invariance ,The Hamilton-Jacobi Equation
Oscillations
The Simple Harmonic Oscillator ,Equilibria and Oscillations ,Solving the Simple Harmonic Oscillator ,The Damped Simple Harmonic Oscillator ,The Driven Simple and Damped Harmonic Oscillator ,Behavior when Driven Near Resonance
Coupled Simple Harmonic Oscillators ,The Coupled Pendulum Example
General Method of Solution ,Examples and Applications ,Degeneracy ,Waves ,The Loaded String ,The Continuous String ,The Wave Equation ,Phase Velocity, Group Velocity, and Wave Packets
Central Force Motion and Scatterin
The Generic Central Force Problem ,The Equation of Motion ,Formal Implications of the Equations of Motion ,The Special Case of Gravity – The Kepler Problem
The Shape of Solutions of the Kepler Problem ,Time Dependence of the Kepler Problem Solutions , Scattering Cross Sections ,Setting up the Problem ,The Generic Cross Section
Rotating Systems
The Mathematical Description of Rotations , Infinitesimal Rotations ,Finite Rotations
Interpretation of Rotations , Scalars, Vectors, and Tensors ,Comments on Lie Algebras and Lie Groups ,Dynamics in Rotating Coordinate Systems ,Newton’s Second Law in Rotating Coordinate Systems ,Applications , Lagrangian and, Hamiltonian Dynamics in Rotating Coordinate Systems ,Rotational Dynamics of Rigid Bodies , Basic Formalism Torque-Free Motion
Special Relativity
Special Relativity ,The Postulates ,Transformation Laws ,Mathematical Description of Lorentz Transformations ,Physical Implications,Lagrangian and Hamiltonian Dynamics in Relativity
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