# Flooved

Flooved is an online education platform founded in 2011, that seeks to provide free education to a global audience by providing lecture notes, handouts, and study guides online, beginning with undergraduate mathematics and physics content.

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Flooved
1965 Joachim Lambek;Leonard Gillman;N. J. Fine
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Topics: Maths, Algebra, Rings and Modules, Number Fields, Rings, Modules, Ideals, Principal and Prime...
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1991 Jerry Griffiths
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In this book we will be considering one of the most obvious situations in which the e_ects of the non-linearity of Einstein�s equations will be manifest. We will be considering the interaction between two waves. By restricting our attention to somewhat idealized situations, it will be possible to describe some types of wave interaction in terms of exact solutions. Moreover, these solutions have a clear physical interpretation in terms of combinations of gravitational or electromagnetic waves...
Topics: Physics, Special Relativity, General Relativity and Gravitation, Classical General Relativity,...
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1994 R. E. Showalter
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Chapter I presents all the elementary Hilbert space theory that is needed for the book. Chapter II is an introduction to distributions and Sobolev spaces. Chapter III is an exposition of the theory of linear elliptic boundary value problems in variational form. (The meaning of \variational form" is explained in Chapter VII.). Chapter IV is an exposition of the generation theory of linear semigroups of contractions and its applications to solve initial-boundary value problems for partial...
Topics: Maths, Mathematics
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Oct 24, 1995 Rodolfo R. Rosales
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When nonlinearities are "small" there are various ways one can exploit this fact - and the fact that the linearized problem can be solved exactly - to produce useful approximations to the solutions. We illustrate two of these techniques here, with examples from phase plane analysis: The Poincare-Lindstedt method and the (more exible) Two Timing method. This second method is a particular case of the Multiple Scales approximation technique, which is useful whenever the solution of a...
Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Mathematics
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Nov 6, 1995 George Thompson
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These are the lecture notes of a set of lectures delivered at the 1995 Trieste summer school in June. I review some recent work on duality in four dimensional Maxwell theory on arbitrary four manifolds, as well as a new set of topological invariants known as the Seiberg-Witten invariants. Much of the necessary background material is given, including a crash course in topological �eld theory, cohomology of manifolds, topological gauge theory and the rudiments of four manifold theory. My main...
Topic: Maths
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Sep 1, 1996 Richard Fitzpatrick
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You have all presumably taken the standard undergraduate electromagnetism course in which Maxwell�s equations are derived and explained. The basic aim of my course is to cover some material which is usually inadequately treated or omitted altogether in undergraduate courses. In fact, I intend to concentrate on three main topics:1. The relativistically invariant formulation of the laws of electromagnetism. 2. The e_ect of dielectric and magnetic materials on electric and magnetic�elds. 3....
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�,...
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1997 Prof. Charles Grinstead;Prof. Laurie Snell
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This text is designed for an introductory probability course taken by sophomores, juniors, and seniors in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a �rm understanding of the subject. The text can be used in a variety of course lengths, levels, and areas of emphasis
Topics: Maths, Mathematics
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Dec 1, 1997 David W. Hogg
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These notes have three (perhaps ambitious) aims: (a) to introduce undergraduates to special relativity from its founding principle to its varied consequences, (b) to serve as a reference for those of us who need to use special relativity regularly but have no long-term memory, and (c) to provide an illustration of the methods of theoretical physics for which the elegance and simplicity of special relativity are ideally suited. History is a part of all science�I will mention some of the...
Topic: Maths
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Dec 3, 1997 Sean M. Carroll
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These notes represent approximately one semester�s worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein�s equations, and three applications: gravitational radiation, black holes, and cosmology.
Topic: Maths
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Feb 12, 1999 Rodolfo R. Rosales
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The purpose of these notes is to give some examples illustrating how naive numerical approximations to PDE's may not work at all as expected. In addition, the following two important notions are introduced: (I) von Neumann stability analysis - helps identify when (and if ) numerical schemes behave properly. (II) Artificial viscosity - a tool in stabilizing numerical schemes. These notes should be read in conjunction with the use of the MatLab scripts (in the Athena 18311-Toolkit at MIT) whose...
Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Mathematics
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Mar 26, 1999 Rodolfo R. Rosales
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These notes describe in some detail the continuum limit behavior of a very simple car following traffic flow model. The formation and behavior of shock waves is described. This model is the one solved by a set of MatLab scripts in the Athena 18311-Toolkit at MIT, which illustrate the phenomena described here. These are the scripts whose names end with the acronym CFSM.
Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Mathematics
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Sep 25, 1999 Rodolfo R. Rosales
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In two dimensions a Hopf bifurcation occurs as a Spiral Point switches from stable to unstable (or vice versa) and a periodic solution appears. There are, however, more details to the story than this: The fact that a critical point switches from stable to unstable spiral (or vice versa) alone does not guarantee that a periodic solution will arise, though one almost always does. Here we will explore these questions in some detail, using the method of multiple scales to find precise conditions...
Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Mathematics
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Oct 11, 1999 Rodolfo R. Rosales
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Definition: 1.1 The point z0 is called a branch point - for the complex (multiple) valued function f(z) - if the value of f(z) does not return to its initial value as a closed curve around the point is traced (starting from some arbitrary point on the curve), in such a way that f varies continuously as the path is traced.
Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Mathematics
Flooved
2000 Trench, William F., 1931-
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Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. In writing this book I have been guided by the these principles: 1. An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student�s place, and have chosen to err on the side of too much detail rather than not enough. 2. An...
Topics: Maths, Differential Equations (ODEs & PDEs)|, Ordinary Differential Equations (ODEs), Linear...
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2000 Thomas Ward
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Objectives: (1) A real number is a limit of a sequence of �nite decimal expressions. (2) Two real numbers that are not equal di_er by some positive distance and so must have di_erent decimal expansions. (3) The modulus |�| allows arguments about the distance between numbers to be written precisely. (4) The modulus and quanti�ers allow us to precisely de�ne what it means for a sequence of numbers to converge. (5) An increasing bounded sequence converges.
Topics: Maths, Logic, Numbers and Set Theory, Linear Algebra and Geometry, Analysis and Calculus, Real...
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2000 Charles Wells;Michael Barr
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As its title suggests, this book is an introduction to three ideas and the connections between them. A topos is a special kind of category de�ned by axioms saying roughly that certain constructions one can make with sets can be done in the category. The concept of triple originated (under the name �standard constructions�) in Gode-ment�s book on sheaf theory for the purpose of computing sheaf cohomology. Chapter 1 is an introduction to category theory which develops the basic...
Topics: Maths, Mathematics
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Feb 7, 2000 R. Victor Jones
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Derivation of Paraxial Wave Equations: In point-to-point communication, we may think of the electromagnetic field as propagatingin a kind of "searchlight" mode -- i.e. a beam of finite width that propagates in some particular direction. In analyzing this mode of wave propagation, we make use of an important solution to the so call paraxial approximation of the electromagnetic wave equation (or, more precisely, the paraxial approximation of the Helmholz equation).
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
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Feb 10, 2000 R. Victor Jones
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Consider a prototypical periodic guiding lens system or an equivalent resonator....
Topics: Physics, Acoustics, Optics and Waves, Electromagnetism and Electromagnetic Radiation, Optics�,...
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Feb 17, 2000 R. Victor Jones
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Consider a totally coherent wave propagating in the positive direction....For later reference, we note that the full (non-normalized) Jones vector representation of this field is given by...We can be easily shown that...
Topics: Physics, Acoustics, Optics and Waves, Optics�, Quantum Optics�, Wave Optics, Polarization,...
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Feb 22, 2000 R. Victor Jones
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As an introduction to the subject of nonlinear optical phenomena, we write, in the spirit of Equation [ I-4 ], the most general form of higher order terms in the phenomenological electric field expansion of the polarization density (which may then be inserted in Equations[ I-3 ]) as...
Topics: Physics, Electromagnetism and Electromagnetic Radiation, Classical Electromagnetism�, Physics
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Feb 29, 2000 R. Victor Jones
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To build a complete quantum picture of the interaction of matter and radiation our first and most critical task is to construct a reliable Lagrangian-Hamiltonian formulation of the problem. In this treatment, we will confine ourselves to a nonrelativistic view which, fortunately, is adequate for most circumstances. We start with a representation of the Lorentz force for a single charged particle
Topics: Physics, Acoustics, Optics and Waves, Optics�, Quantum Optics�, Physics
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Mar 2, 2000 R. Victor Jones
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We begin our discussion of optical pulse propagation 35 with a derivation of the nonlinear Schr�dinger (NLS) equation. To that end, we recall Equations [ VII-23 ] and [ VII-23 ] from the early lecture set entitled Nonlinear Optics I
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
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Mar 6, 2000 R. Victor Jones
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At the outset, let us, briefly, reconsider why quantum mechanics is necessary? � Forces known in classical electrodynamics cannot account for the remarkable stability of atoms and molecules. � Disturbed dynamic systems radiate only frequencies which may be expressed as differences between certain values (Ritz's Combination Law of Spectroscopy)....
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Mechanics, Quantum...
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Mar 7, 2000 R. Victor Jones
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Quantum Mechanical Equations of Motion: To this point our review, we have been concerned with describing the states of a system at one instant of time. The complete dynamical theory must describe, of course, connections between different instants of time.
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
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Mar 9, 2000 R. Victor Jones
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The literature of quantum optics and laser spectroscopy abounds with discussions of thetwo-level (two-state) system. This emphasis comes about because the interaction of such systems with the electromagnetic field may be treated in great detail to obtain valuable analytic results and, hopefully, the analysis of two-level systems generates insights that may be extended to more realistic situations. ...
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
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Mar 9, 2000 R. Victor Jones
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Planck's Radiation Law for Thermal sources: To set the stage for subsequent discussions of laser physics and quantization of the electromagnetic field we briefly explore the earliest, seminal notions in the quantum theory of light. As we all remember, in 1900 Planck found that he could account for the measured spectral distribution of radiation from a thermal source by postulating that the energies of acertain set of harmonic oscillators are quantized!
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
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Mar 14, 2000 R. Victor Jones
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Population Inversion and "Lasering" in a Three-Level System: Obviously, the trick in building masers and lasers has been to find means to "invert" the equilibrium population of states. First conceived by Charles Townes in 1951, Gordon, Zeiger and Townes in 1954...
Topic: Maths
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Mar 16, 2000 R. Victor Jones
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Laser self-cosistency equations: Lamb's theory of laser operation provides a very powerful means for interpreting and predicting complex time dependent behavior without invoking all the intricacy of a full quantum mechanical theory. It is semiclassical, self-consistent theory in the following sense:
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Mechanics, Lasers,...
Flooved
Mar 16, 2000 R. Victor Jones
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Van der Pol�s analysis 1 of �negative resistance� (e.g., tunnel diode) oscillators prides a valuable framework for treating relative simplicity important features of oscillatory systems:...
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
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Apr 4, 2000 R. Victor Jones
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Preliminaries: Semiconductor Background - The Crystal Hamiltonian. For an assembly of atoms the classical energy is the sum of the following:..
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
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Apr 4, 2000 R. Victor Jones
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I. Review of basic quantum mechanics concepts 7 notation: At the outset, let us, briefly, reconsider why quantum mechanics is necessary? � Forces known in classical electrodynamics cannot account for the remarkable stability of atoms and molecules.� Disturbed dynamic systems radiate only frequencies which may be expressed as differences between certain values (Ritz's Combination Law of Spectroscopy). � All physical systems -- viz. material "particles" and electromagnetic fields...
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Mechanics, Lasers,...
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Apr 11, 2000 R. Victor Jones
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To prepare the ground for the quantization of the electromagnetic field, let us revisit the classical treatment of a simple harmonic oscillator with one degree of freedom. We start, with the assertion that the Hamiltonian of such an oscillator must have the form...
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
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Apr 11, 2000 R. Victor Jones
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To prepare the ground for the quantization of the electromagnetic field, let us revisit the classical treatment of a simple harmonic oscillator with one degree of freedom.
Topics: Physics, Quantum Physics, Physics
Flooved
Apr 17, 2000 R. Victor Jones
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To build a complete quantum picture of the interaction of matter and radiation our first and most critical task is to construct a reliable Lagrangian-Hamiltonian formulation of the problem. In this treatment, we will confine ourselves to a nonrelativistic view which, fortunately, is adequate for most circumstances. We start with a representation of the Lorentz force for a single charged particle
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
Flooved
Apr 18, 2000 R. Victor Jones
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Suppose that the complete Hamiltonian of a coupled system is parsed into two components ....The component Ho includes the Hamiltonians for the unperturbed material system, the free radiation field and interactions of the material system with available cavity modes.The component Hex is the Hamiltonian...
Topics: Physics, Acoustics, Optics and Waves, Condensed Matter, Quantum Physics, Optics�, Electronic...
Flooved
Apr 18, 2000 R. Victor Jones
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In treating the complete quantum mechanical problem, it is useful to recast the material (atomic) Hamiltonian in terms of an appropriate set of creation and destruction operators. To that end we make the following definition...
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
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Apr 27, 2000 R. Victor Jones
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In this first section we review the classical analysis and interpretation of interference effects interms of the notions of partial coherence.
Topics: Physics, Acoustics, Optics and Waves, Optics�, Quantum Optics�, Wave Optics, Coherence,...
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Apr 28, 2000 R. Victor Jones
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To introduce the subject let us quote Glauber in "Photon Statistics" "Photon counters function by absorbing photons from the field. What they count are, strictly speaking, not photons but atomic photo absorption processes rendered individuall detectable by an amplification mechanism of some sort....
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Mechanics, Quantum...
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May 2, 2000 R. Victor Jones
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As we have seen, the Fock or number states....are complete set eigenstates of an important group of commuting observables...
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
Flooved
May 2, 2000 R. Victor Jones
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A Rudimentary Resevoir Problem: Consider a complete system which consists of a single simple harmonic oscillator (thesystem component of "interest") coupled to a reservoir of many simple harmonicoscillators (the system component treated statistically)
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
Flooved
May 4, 2000 R. Victor Jones
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In what follows we draw on the discussion of the density operator in Review of Basic Quantum Mechanics: Dynamic Behavior of Quantum Systems, Section II of the lecture set entitled. The Interaction of Radiation and Matter: Semiclassical Theory (hereafter referred to as IRM:ST).
Topics: Physics, Acoustics, Optics and Waves, Quantum Physics, Optics�, Quantum Optics�, Physics
Flooved
May 31, 2000 Prof. Brian C. Hall
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These notes are the outgrowth of a graduate course on Lie groups I taughtat the University of Virginia in 1994. In trying to �nd a text for the course Idiscovered that books on Lie groups either presuppose a knowledge of di_erentiablemanifolds or provide a mini-course on them at the beginning. Since my studentsdid not have the necessary background on manifolds, I faced a dilemma: either usemanifold techniques that my students were not familiar with, or else spend muchof the course teaching...
Topics: Groups, Representation Theory, Mathematics
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Sep 1, 2000 Eric Poisson
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Topic: Maths
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Nov 20, 2000 John W. Norbury
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Chapter 1. Lagrangian Field Theory 1.1 Units. We start with the most basic thing of all, namely units and concentrate on the units most widely used in particle physics and quantum �eld theory (natural units). We also mention the units used in General Relativity, because these days it is likely that students will study this subject as well.
Topic: Maths
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Dec 1, 2000 Prof. Peter J. Cameron
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This course introduces the basic notions of probability theory and develops them to the stage where one can begin to use probabilistic ideas in statistical inference and modelling, and the study of stochastic processes. Probability axioms. Conditional probability and independence. Discrete random variables and their distributions. Continuous distributions. Joint distributions. Independence. Expectations. Mean, variance, covariance, correlation. Limiting distributions
Topic: Mathematics
Flooved
Dec 19, 2000 R. Victor Jones
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Our objective here is to formulate a general approach to the subject of wave propagation in anisotropic dielectrics which makes use of ideas familiar from other branches of mathematical physics -- viz. the �eigenvalue problem.�.18 For reasons that will soon become abundantly clear, treatments of �crystal optics� focus on the behavior of the dielectric displacement vector, r D (r r , _) rather than on the electric field vector.19 For non-magnetic dielectrics the components of the...
Topic: Maths
Flooved
Feb 8, 2001 Daniel Spielman
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In this lecture we will talk about di_erent kinds of Non-deterministic Turing Machines (NTM) and then how to construct Alternating Turing Machines from them. We�ll also examine the relation of ATMs to deterministic classes, then we will prove a few di_erent relations between alternating and deterministic time and space
Topics: Maths, Mathematics
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Mar 1, 2001 Prof. Peter J. Cameron
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The course begins with an outline of complexity theory, which gives a more precise meaning to the statement that some problems (such as minimal spanning tree) are easy to solve whereas others (such as travelling salesman) are hard.
Topic: Mathematics
Flooved
Mar 1, 2001 Rodolfo R. Rosales
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This notes give a few examples illustrating how continuum models can be derived from special limits of discrete models. Only the simplest cases are considered, illustrating some of the most basic ideas. These techniques are useful because continuum models are often much easier to deal with than discrete models with very many variables, both conceptually and computationally.
Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Mathematics
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Mar 1, 2001 Rodolfo R. Rosales
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These notes give examples illustrating how conservation principles are used to obtain (phenomenological) continuum models for physical phenomena. The general principles are presented, with examples from traffic flow, river flows, granular flows, gas dynamics and diffusion.
Topics: Maths, Differential Equations (ODEs & PDEs), Partial Differential Equations (PDEs), Mathematics
Flooved
Mar 13, 2001 Daniel Spielman
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This lecture is an intruduction to quantum computation. Quantum computation is motivated in part by the field of Physics, and experiments.
Topics: Maths, Mathematics
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May 16, 2001 Richard M. Dudley
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Topics: Maths, Statistics and Probability, Statistics, Mathematics
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Oct 11, 2001 R.R. Horgan
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These notes are concerned with the physics of phase transitions: the phenomenon that in particular environments, qualified by particular values of external parameters such as temperature, magnetic field etc., many systems exhibit singularities in the thermodynamic variables which best describe the macroscopic state of the system. For example...
Topic: Maths
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Dec 23, 2001 Edwin Clark
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This book is intended for a one semester introduction to absract algebra. Instead of spending a lot of time going over background material, we go directly into the primary subject matter. We discuss proof methods and necessary background as the need arises.
Topics: Maths, Algebra, Groups, Groups, Lagrange and Fermat-Euler�s Theorems, Isomorphism Theorems,...
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Fluid Mechanics�, General Theory in Fluid Dynamics, Fluid Dynamics,...
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Fluid Mechanics�, General Theory in Fluid Dynamics, Fluid Dynamics,...
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Fluid Mechanics, General Theory in Fluid Dynamics, Fluid Dynamics,...
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Fluid Mechanics�, General Theory in Fluid Dynamics, Fluid Dynamics,...
Flooved
2002 Pavel Etingof
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Fermionic quantum mechanics. Let us now pass from �nite dimensional fermionic integrals to quantum mechanics, i.e. integrals over fermionic functions of one (even) real variable t.
Topics: Physics, Quantum Physics, Quantum Field Theory, Physics
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Continuum Mechanics of Solids�, Fluid Mechanics�, Stress, General...
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Fluid Mechanics�, General Theory in Fluid Dynamics, Fluid Dynamics,...
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Fluid Mechanics, General Theory in Fluid Dynamics, Fluid Dynamics,...
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Fluid Mechanics, General Theory in Fluid Dynamics, Fluid Dynamics,...
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Fluid Mechanics, General Theory in Fluid Dynamics, Fluid Dynamics,...
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Condensed Matter, Fluid Mechanics�, Structural, Mechanical, and...
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2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Fluid Mechanics�, General Theory in Fluid Dynamics, Fluid Dynamics,...
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Fluid Mechanics, General Theory in Fluid Dynamics, Fluid Dynamics,...
Flooved
2002 James Binney
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Topics: Physics, Statistical Physics and Thermodynamics, Physics
Flooved
2002 Pavel Etingof
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In mechanics and �eld theory (both classical and quantum), there are two main languages � La-grangian and Hamiltonian. In the classical setting, the Lagrangian language is the language of vari-ational calculus (i.e. one studies extremals of the action functional), while the Hamiltonian language is that of symplectic geometry and Hamilton equations. Correspondingly, in the quantum setting, the Lagrangian language is the language of path integrals, while the Hamiltonian language is the...
Topics: Physics, Quantum Physics, Quantum Field Theory, Physics
Flooved
2002 Pavel Etingof
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Topics: Physics, Quantum Physics, Quantum Field Theory, Physics
Flooved
2002 Chiang C. Mei
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Topics: Physics, Classical Mechanics, Fluid Mechanics, General Theory in Fluid Dynamics, Fluid Dynamics,...
Flooved
2002 Chiang C. Mei
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Applications: Groundwater �ow and transport, building insulation, energy storage and recovery, geothermal reservoirs, nuclear waste disposal, etc.
Topics: Physics, Classical Mechanics, Fluid Mechanics�, General Theory in Fluid Dynamics, Fluid Dynamics,...
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2002 Igor Vilfan
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The lectures cover classical and quantum statistical mechanics with some emphasis on classical spin systems. I give also an introduction to Bose condensation and super�uidity but I do not discuss phenomena speci�c to Fermi particles, being covered by other lecturers.
Topic: Maths
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2002 Chiang C. Mei
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Similar to heat, a passive solvent is also transported by convection and di_usion. When the concentration of the solvent is low, the �ow a_ects the transport but the solvent does not a_ect the �ow. We explain a systematic theory of enhanced di_usion by shear-a phenomenon �rst analysized by G.I. Taylor, hence is called the Taylor dispersion.
Topics: Physics, Classical Mechanics, Fluid Mechanics�, General Theory in Fluid Dynamics, Fluid Dynamics,...