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Physics Literature Collection (295 Books)


The World Public Library Physics Collection contains 263 conversations regarding the nature of physics.

 
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The Case of Two Degrees of Freedom

Physics Literature

Excerpt: Formal classification of periodic motions. In chapter VI we studied dynamical systems of Hamiltonian type (m = 2) in a preliminary way, with particular reference to the periodic motions. We propose now not only to obtain a more complete idea as for the existence and distribution of these periodic motions, but also of the various other types of motion.

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Dynamical Systems

By: George D. Birkhoff

Physics Literature

Introduction: To the 1966 Edition. Many mathematicians will welcome the new edition of G. D. Birkhoffs book on Dynamical Systems. It represents essentially a continuation of Poincare's profound and extensive work on Celestial Mechanics. Altogether Birkhoff was strongly influenced by Poincare and devoted a major part of his mathematical work to subjects arising from Poincare's tradition. The present book contains Birkhoffs views and ideas of his earlier period of life-it ...

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Electro Magnetic Field Theory

By: Tobia Carozzi

Physics Literature

Preface: XI - 1 Classical Electrodynamics 1; 1.1 Electrostatics 1; 1.1.1 Coulomb?s law. 1; 1.1.2 The electrostatic field 2; 1.2 Magnetostatics. 5; 1.2.1 Ampere?s law 5; 1.2.2 The magnetostatic field. 6; 1.3 Electrodynamics 8; 1.3.1 Equation of continuity. 9 ...

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Electromagnetic Field Theory

By: Tobia Carozzi

Physics Literature

Preface: XI - 1 Classical Electrodynamics 1; 1.1 Electrostatics 1; 1.1.1 Coulomb?s law. 2; 1.1.2 The electrostatic field 2; 1.2 Magnetostatics. 5; 1.2.1 Ampere?s law 5; 1.2.2 The magnetostatic field. 6; 1.3 Electrodynamics 8; 1.3.1 Equation of continuity for electric charge. 9; 1.3.2 Maxwell?s displacement current 9 ...

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Electromagnetic Field Theory Exercises

By: Tobia Carozzi

Physics Literature

Preface: IX - 1 Maxwell?s Equations 1; 1.1 Coverage 1; 1.2 Formulae used 1; 1.3 Solved examples 1; Example 1.1 Macroscopic Maxwell equations. 1; Solution. 2; Example 1.2 Maxwell?s equations in component form. 4; Solution. 4; Example 1.3 The charge continuity equation. 5; Solution. 5 ...

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Electromagnetic Field Theory Exercises

By: Tobia Carozzi

Physics Literature

Preface: VII - 1 Maxwell?s Equations 1; 1.1 Coverage 1; 1.2 Formulae used 1; 1.3 Solved examples 1; Example 1.1 Macroscopic Maxwell equations. 1; Solution. 2; Example 1.2 Maxwell?s equations in component form. 4; Solution. 4; Example 1.3 The charge continuity equation. 5; Solution. 5 ...

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Elementary Mechanics and Thermodynamics

By: Professor John W. Norbury

Physics Literature

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Essential Physics

By: Frank W.K. Firk

Physics Literature

Preface: Throughout the decade of the 1990?s, I taught a one-year course of a specialized nature to students who entered Yale College with excellent preparation in Mathematics and the Physical Sciences, and who expressed an interest in Physics or a closely related field. The level of the course was that typified by the Feynman Lectures on Physics. My one-year course was necessarily more restricted in content than the two-year Feynman Lectures. The depth of treatment of e...

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Fields

By: Warren Siegel

Physics Literature

Preface: Scientific method - Although there are many ne textbooks on quantum field theory, they all have various shortcomings. Instinct is claimed as a basis for most discussions of quantum field theory, though clearly this topic is too recent to evolution. Their subjectivity more accurately identities this as fashion: (1) The old-fashioned approach justices itself with the instinct of intuition. However, anyone who remembers when they first learned quantum mechanics or ...

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Appendix a Useful Relations and Definitions from Linear Algebra

Physics Literature

Excerpt: A basic understanding of the fundamentals of linear algebra is crucial to our development of numerical methods and it is assumed that the reader is at least familiar with this subject area Given below is some notation and some of the important relations between matrices and vector ...

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Appendix B Some Properties of Tridiagonal Matrices

Physics Literature

Excerpt: B Standard Eigensystem for Simple Tridiagonals. In this work tridiagonal banded matrices are prevalent It is useful to list some of their properties Many of these can be derived by solving the simple linear difference equations that arise in deriving recursion relations Let us consider a simple tridiagonal matrix i.e. a tridiagonal with constant scalar elements a b and c see Section If we examine the conditions under which the determinant of this matrix is zero ...

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Appendix C the Homogeneous Property of the Euler Equations

Physics Literature

Excerpt: The Euler equations have a special property that is sometimes useful in constructing numerical methods In order to examine this property let us first inspect Euler s theorem on homogeneous functions ...

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Fundamentals of Computational Fluid Dynamics

By: Harvard Lomax

Physics Literature

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Chapter Introduction : Motivation

Physics Literature

Excerpt: The material in this book originated from attempts to understand and systemize numerical solution techniques for the partial differential equations governing the physics of fluid flow. As time went on and these attempts began to crystallize underlying constraints on the nature of the material began to form. The principal such constraint was the demand for unification. Was there one mathematical structure which could be used to describe the behavior and results o...

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Chapter Multigrid

Physics Literature

Excerpt: The idea of systematically using sets of coarser grids to accelerate the convergence of iterative schemes that arise from the numerical solution to partial differential equations was made popular by the work of Brandt There are many variations of the process and many viewpoints of the underlying theory The viewpoint presented here is a natural extension of the concepts discussed in Chapter ...

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Chapter Numerical Dissipation

Physics Literature

Excerpt: Up to this point we have emphasized the second order centered difference approximations to the spatial derivatives in our model equations We have seen that a centered approximation to a first derivative is nondissipative i.e. the Eigen values of the associated circulant matrix with periodic boundary conditions are pure imaginary In processes governed by nonlinear equations such as the Euler and Navier Stokes equations there can be a continual production of high ...

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Split and Factored Forms

Physics Literature

Excerpt: In the next two chapters we present and analyze split and factored algorithms. This gives the reader a feel for some of the modifications which can be made to the basic algorithms in order to obtain efficient solvers for practical multidimensional applications and a means for analyzing such modified forms ...

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Chapter Linear Analysis of Split and Factored Forms

Physics Literature

Excerpt: ? Section we introduced the concept of the representative equation and used it in ? to study the stability accuracy and convergence properties of time marching schemes. The question is: Can we ? a similar equation that will allow us to evaluate the stability and convergence properties of split and factored schemes? The answer is yes for certain forms of linear model equations. The analysis in this chapter is useful for estimating the stability and steady state p...

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Chapter Conservation Laws and the Model Equations

Physics Literature

Excerpt: We start out by casting our equations in the most general form the integral conservation law form which is useful in understanding the concepts involved indefinite volume schemes. The equations are then recast into divergence form which is natural for ? difference schemes. The Euler and Navier Stokes equations are briefly discussed in this Chapter. The main focus though will be on representative model equations in particular the convection and diffusion equation...

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Chapter Finite Difference Approximations

Physics Literature

Excerpt: In common with the equations governing unsteady fluid flow our model equations contain partial derivatives with respect to both space and time. One can approximate these simultaneously and then solve the resulting difference equations. Alternatively one can approximate the spatial derivatives first thereby producing a system of ordinary differential equations. The time derivatives are approximated next leading to a time marching method which produces a set of di...

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