Review of Someting Four vector In Relativity worldly 2010. 10. 8. 12:11 By Ramamurti Shankar | Fundamentals of Physics Lecture 14 of 24 Lecture Description The four-vector is introduced that unifies space-time coordinates x, y, z and t into a single entity whose components get mixed up under Lorentz transformations. The length of this four-vector, called the space-time interval, is shown to be invariant (the same for all observers). Likewise energy and momentum are unified into the energy-momentum four-vector. Course Description This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves. Related Resources Lecture Transcript, Reading Assignment, Handouts, and Problem Sets Course Index Course Introduction and Newtonian Mechanics Vectors in Multiple Dimensions Newton's Laws of Motion Newton's Laws (cont.) and Inclined Planes Work-Energy Theorem and Law of Conservation of Energy Law of Conservation of Energy in Higher Dimensions Kepler's Laws Dynamics of a Multiple-Body System and Law of Conservation of Momentum Rotations, Part I: Dynamics of Rigid Bodies Rotations, Part II: Parallel Axis Theorem Torque Introduction to Relativity Lorentz Transformation Introduction to the Four-Vector Four-Vector in Relativity The Taylor Series and Other Mathematical Concepts Simple Harmonic Motion Simple Harmonic Motion (cont.) and Introduction to Waves Waves Fluid Dynamics and Statics and Bernoulli's Equation Thermodynamics The Boltzmann Constant and First Law of Thermodynamics The Second Law of Thermodynamics and Carnot's Engine The Second Law of Thermodynamics (cont.) and Entropy From Yale Univ. http://academicearth.org/lectures/intro-to-four-vector