PDF-(READ)-New Foundations for Classical Mechanics (Fundamental Theories of Physics, 15)

This is a textbook on classical mechanics at the intermediate level but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J Willard Gibbs but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra while in other applica tions matrix algebra works better Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies However it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks A few words are in order about the unique treatment of these two topics namely rotational dynamics and celestial mechanics. Chapter 2 UNITS AND MEASUREMENTS 4 hours Unitof measurement System of units SI units undamental and derived units Length mass and time measurements Accuracy and precision of measuring instruments rrors in measurement Significant figures Dimensions Chapter 2 UNITS AND MEASUREMENTS 4 hours Unitof measurement System of units SI units undamental and derived units Length mass and time measurements Accuracy and precision of measuring instruments rrors in measurement Significant figures Dimensions Classical Mechanics Conservation laws central forces Kepler problem and planetary motion collisions and scattering in laboratory and cent re of mass frames mechanics of system of particles rigid body dynamics moment of inertia tensor noninertial fra The Fundamental Rules of Our Game. Any measurement we can make with an experiment corresponds to a mathematical “. operator. ”. Operator. : A mathematical machine that “. acts on. ” a function and produces a new function:. in Mathematics and Physics . Arash. Rastegar. Sharif University of Technology. The skills of making assumptions and developing theories. 1) Making assumptions . based on experiments. .. 2) . Testing. A Rehash Followed by Some New Stuff. 1. Nature of Classical Physics. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. Determinism and Reversibility. We may regard the present state of the universe as the effect of its past and the cause of its . 1 Problems remained from classical mechanics that relativity didn . Final Review. Mechanics . Final Review, . Slide . 1. Final Exam. Wednesday, December 14, 3:30 – 5:. 30 pm. . . Section 001. (Lecture 12:55) HEB . 2008, 2006. . . Section . behaviour. of the universe, from the very smallest scales of sub-atomic particles to the very largest in cosmology. It applies these laws to the solution of practical problems and to the development of new technologies. . READ Philosophic Foundations of Quantum Mechanics The Quantum Challenge, Second Edition, is an engaging and thorough treatment of the extraordinary phenomena of quantum mechanics and of the enormous challenge they present to our conception of the physical world. Traditionally, the thrill of grappling with such issues is reserved for practicing scientists, while physical science, mathematics, and engineering students are often isolated from these inspiring questions. This book was written to remove this isolation. Nandi. PH101, Lec-2. Few basic postulates. Ψ. = . α. . ψ. l. + . β. . ψ. d. . state vector. Probability . amplitudes. Postulate 1 (State) : The state of aliveness/deadness of the cat is the linear . Part 1. Outline. Introduction. Problems of classical physics. Black-body Radiation. experimental observations. Wien’s displacement law. Stefan – Boltzmann law. Rayleigh - Jeans. Wien’s radiation law. in Mathematics and Physics . Arash. Rastegar. Sharif University of Technology. The skills of making assumptions and developing theories. 1) Making assumptions . based on experiments. .. 2) . Testing.