**Chapter 5 63**

Electro-magnetic Simulation Based on the Integral Form of Maxwell's Equations *by Naofumi Kitsunezaki*

Preface

Today, research into integral equations is fundamental to the increasing development of functional analysis, function theory, functional equations, and other areas in mathematics. Integral equations can solve problems of any nature in dynamical systems, partial differential equations, representation theory and its realizations through integral transforms, integration on infinite dimension spaces and their operators, algebra, inverse problems in control theory, and system analysis. This book includes five chapters written by prestigious experts and researchers who present their work on integral equations and related themes considering the wide content of concepts and methodologies. Some of these important aspects are the functional resolution of integral equations, operator theories to nonsymmetric and symmetric kernels, extension problems of Banach algebras to kernels of integral equations, and probabilistic methods to integral equations among others. The book has been divided into five sections to facilitate the search for research information.

**Dr. Francisco Bulnes**

TESCHA, Mexico IINAMEI,

Research Department in Mathematics and Engineering,

Professor,

Mexico
