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Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book, first published in 2004, attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their interpretations in electromagnetism. These topological structures are subsequently tied to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of numerical linear algebra. A recurring theme is the formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents.

Electromagnetic theory. --- Light, Electromagnetic theory of --- Electric fields --- Magnetic fields

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Electric machinery --- Electromagnetic theory --- Electromechanical devices --- Machinery --- Light, Electromagnetic theory of --- Electric fields --- Magnetic fields

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Electromagnetic theory --- Light, Electromagnetic theory of --- Electric fields --- Magnetic fields --- Electromagnetic theory.

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This book constitutes the proceedings of a workshop which originated from a discussion with Professor A Zichichi in March 2001. The purpose of the meeting was to celebrate two developments at Brookhaven that, in both cases, are the outcome of more than a decade of preparation: the new muon g-2 measurement and the flood of data that started pouring out of RHIC. Bringing together people from these very different fields was an interesting challenge. But, at the time, when a small community of heavy ion physicists was beginning to define a program of electromagnetic interactions at RHIC and LHC, i

Electromagnetic theory --- Particles (Nuclear physics) --- Light, Electromagnetic theory of --- Electric fields --- Magnetic fields

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This book is a self contained course in electromagnetic theory suitable for senior physics and electrical engineering students as well as graduate students whose past has not prepared them well for books such as Jackson or Landau and Lifschitz. The text is liberally sprinkled with worked examples illustrating the application of the theory to various physical problems. In this new edition I have endeavored to improve the accuracy and readability, added and further clarified examples, added sections on Schwarz-Christoffel mappings, and to make the book more self sufficient added an appendix on orthogonal function expansions and added the derivation of Bessel functions and Legendre polynomials as well as derivation of their generating functions. The number of student exercises has been increased by 45 over the previous edition. This book stresses the unity of electromagnetic theory with electric and magnetic fields developed in parallel. SI units are used throughout and considerable use is made of tensor notation and the Levi-Cevita symbol. To more closely display the parallelism, extensive use is made of the scalar magnetic potential particularly in dealing with the Laplace and Poisson equation. 85 worked problems illustrate the theory. Conformal mappings are dealt with in some detail. Relevant mathematical material is provided in appendices. For information regarding Solutions Manual, please contact the author Jack Vanderlinde at: jvd@unb.ca or see website www.unb.ca/fredericton/science/physics/jvdl.

Electromagnetic theory. --- Electric fields. --- Light, Electromagnetic theory of --- Field theory (Physics) --- Electromagnetic fields --- Electric fields --- Magnetic fields