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Finite Element Methods for Maxwell's Equations

Peter Monk

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198508885
eISBN:
9780191708633
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508885.001.0001
Subject:
Mathematics, Numerical Analysis

Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell’s equations is now an increasingly important tool in science and ... More


Fundamentals of Beam Physics

J. B. Rosenzweig

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198525547
eISBN:
9780191711725
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525547.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

This book presents beam physics using a unified approach, emphasizing basic concepts and analysis methods. While many existing resources in beams and accelerators are specialized to aid the ... More


List of conclusions

JESPER LÜTZEN

in Mechanistic Images in Geometric Form: Heinrich Hertz's 'Principles of Mechanics'

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567370
eISBN:
9780191717925
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567370.003.0028
Subject:
Physics, History of Physics

This chapter presents a list of conclusions about Heinrich Hertz's mechanics. First, Hertz conceived of his mechanics as the foundation of all of physics and thought that there was strong empirical ... More


Concepts and Models of the Magnetic Field

John Roche

in Kelvin: Life, Labours and Legacy

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199231256
eISBN:
9780191710803
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199231256.003.0007
Subject:
Mathematics, History of Mathematics

This chapter begins with a discussion of Thomson's scientific style. It then discusses his early heuristic analogies in electrostatics, guiding mechanical model for electromagnetism, his ‘positive’ ... More


What is a gauge theory?

Richard Healey

in Gauging What's Real: The Conceptual Foundations of Gauge Theories

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199287963
eISBN:
9780191713453
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199287963.003.0001
Subject:
Philosophy, Philosophy of Science

This chapter explains what is meant by a gauge theory. It states the origins of the term ‘gauge’, and describes the prominent role of gauge theories in contemporary physics. Using the theory of ... More


The Aharonov–Bohm effect

Richard Healey

in Gauging What's Real: The Conceptual Foundations of Gauge Theories

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199287963
eISBN:
9780191713453
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199287963.003.0002
Subject:
Philosophy, Philosophy of Science

This chapter introduces the Aharonov-Bohm effect and explains why it poses a challenge to classical conceptions of how electricity and magnetism act on charged particles. It offers a critical ... More


Classical gauge theories

Richard Healey

in Gauging What's Real: The Conceptual Foundations of Gauge Theories

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199287963
eISBN:
9780191713453
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199287963.003.0003
Subject:
Philosophy, Philosophy of Science

This chapter extends the analysis of classical gauge theories to encompass both non-Abelian Yang-Mills theories and the general theory of relativity. It explains what is meant by a non-Abelian ... More


Intrepreting classical gauge theories

Richard Healey

in Gauging What's Real: The Conceptual Foundations of Gauge Theories

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199287963
eISBN:
9780191713453
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199287963.003.0004
Subject:
Philosophy, Philosophy of Science

This chapter presents and defends an interpretation of classical gauge theories, including electromagnetism. It argues that Yang-Mills gauge theories (but not general relativity) are best understood ... More


Knowing: The Nature of Physical Law

Michael Munowitz

Published in print:
2006
Published Online:
September 2007
ISBN:
9780195167375
eISBN:
9780199787104
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195167375.001.0001
Subject:
Physics, History of Physics

This book interprets the book of nature for curious readers of all sorts, but especially for those looking to appreciate the power and beauty of physics without having to grapple with the ... More


Einstein Agonists: Weyl and Reichenbach

Thomas Ryckman

in The Reign of Relativity: Philosophy in Physics 1915-1925

Published in print:
2005
Published Online:
April 2005
ISBN:
9780195177176
eISBN:
9780199835324
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195177177.003.0004
Subject:
Philosophy, Philosophy of Science

Hermann Weyl and Hans Reichenbach stood on opposite sides in a debate that ostensibly turned on whether rigid rods and ideal clocks do or should play an epistemologically fundamental role in GTR. ... More


Transcendental‐Phenomenological Idealism: Husserl and Weyl

Thomas Ryckman

in The Reign of Relativity: Philosophy in Physics 1915-1925

Published in print:
2005
Published Online:
April 2005
ISBN:
9780195177176
eISBN:
9780199835324
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195177177.003.0005
Subject:
Philosophy, Philosophy of Science

Weyl’s major contributions in the spring of 1918 to the general theory of relativity and to constructive analysis reveal the influence of Husserl’s transcendental-phenomenological idealism. The known ... More


Weyl's “Purely Infinitesimal” Constitution of Field Physics

Thomas Ryckman

in The Reign of Relativity: Philosophy in Physics 1915-1925

Published in print:
2005
Published Online:
April 2005
ISBN:
9780195177176
eISBN:
9780199835324
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195177177.003.0006
Subject:
Philosophy, Philosophy of Science

It is shown how Weyl intertwined phenomenological analysis and mathematical construction in building the foundation of his “pure infinitesimal geometry” underlying gravitation and electromagnetism. ... More


Geometrizing Physics: Eddington's Theory of the Affine Field

Thomas Ryckman

in The Reign of Relativity: Philosophy in Physics 1915-1925

Published in print:
2005
Published Online:
April 2005
ISBN:
9780195177176
eISBN:
9780199835324
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195177177.003.0008
Subject:
Philosophy, Philosophy of Science

It is shown how Eddington’s 1921 generalization of Weyl’s theory of gravitation and electromagnetism stemmed from similar transcendental idealist epistemological concerns. While Eddington’s affine ... More


Basic Classical Concepts

Stephen C. Rand

in Lectures on Light: Nonlinear and Quantum Optics using the Density Matrix

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199574872
eISBN:
9780191722219
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199574872.003.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

Chapter 1 is an extremely brief review of the elementary aspects of light as a classical electromagnetic wave. Maxwell's equations are outlined and the scalar wave equation is derived from them. Then ... More


Solved Problems in Classical Electromagnetism: Analytical and Numerical Solutions with Comments

J. Pierrus

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198821915
eISBN:
9780191861055
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821915.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

Apart from an introductory chapter which focuses mainly on some important mathematical concepts and analytical techniques, this book consists entirely of questions and solutions on topics in ... More


Mechanistic Images in Geometric Form: Heinrich Hertz's 'Principles of Mechanics'

Jesper Lützen

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567370
eISBN:
9780191717925
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567370.001.0001
Subject:
Physics, History of Physics

This book examines Heinrich Hertz's posthumously published Principles of Mechanics in its philosophical, physical and mathematical context. In a period of heated debates about the true foundation of ... More


Special relativity: The basics

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology: A Basic Introduction

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Special relativity is introduced as the symmetry of Maxwell's theory of electromagnetism. The fact that a signal cannot be transmitted instantaneously led Einstein to propose a new kinematics: the ... More


Forces of Nature

Gian Francesco Giudice

in A Zeptospace Odyssey: A Journey into the Physics of the LHC

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199581917
eISBN:
9780191723001
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199581917.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

A remarkable result of modern science has been to show that not only all forms of matter can be ascribed to a few fundamental elements, but also all natural phenomena, in their variety and ... More


Electric Charge: A Case Study

Colin McGinn

in Basic Structures of Reality: Essays in Meta-Physics

Published in print:
2012
Published Online:
January 2012
ISBN:
9780199841103
eISBN:
9780199919529
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199841103.003.0008
Subject:
Philosophy, Philosophy of Science, General

This chapter analyzes the nature of electric charge. The usual talk of electrical charge is really nothing more than a summary of certain law-governed dispositions—though it certainly gives the ... More


Physics before Boltzmann

CARLO CERCIGNANI

in Ludwig Boltzmann: The Man Who Trusted Atoms

Published in print:
2006
Published Online:
January 2010
ISBN:
9780198570646
eISBN:
9780191717949
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570646.003.0002
Subject:
Physics, History of Physics

This chapter looks at the state of physics when Ludwig Boltzmann began to contribute to its development, from Galileo and Isaac Newton, to the early atomic theories. Physics was in a phase ... More


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