Electromagnetic theory and computation: a topological approach
β Scribed by Paul W. Gross, P. Robert Kotiuga
- Book ID
- 127418803
- Publisher
- Cambridge University Press
- Year
- 2004
- Tongue
- English
- Weight
- 2 MB
- Series
- MSRI 48
- Category
- Library
- ISBN
- 0511216890
No coin nor oath required. For personal study only.
β¦ Synopsis
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 attempts to expose the link between Maxwell and a modern approach to algorithms.
π SIMILAR VOLUMES
It is shown that Maxwell equations in vacuum derive from an underlying topological structure given by a scalar field ~b which represents a map S 3 x R ~ S 2 and determines the electromagnetic field through a certain transformation, which also linearizes the highly nonlinear field equations to the Ma
In this book, developed from courses taught at the University of London, the author aims to show the value of using topological methods in combinatorial group theory. The topological material is given in terms of the fundamental groupoid, giving results and proofs that are both stronger and simpler