Direct involvement with the subject area of the present work dates from my years with NASA at its Electronics Research Center (ERC) in Cambridge, M- sachusetts, in the 1960s. However, my approach to the problems of mathem- ical physics had been shaped earlier in my time as a graduate student in the Mathematics Department at MIT. The passage of time tends merely to further enhance my appreciation of that graduate study program, where I had the b- e't of the intensive courses from Norman Levinson, C.-C. Lin, Jurgen ] Moser, and Eric Reissner. In the case of Reissner, my years as research...
Direct involvement with the subject area of the present work dates from my years with NASA at its Electronics Research Center (ERC) in Cambridge, M- s...
This workshop held at the University of North Carolina was in the series which started with meetings in the University of New Hampshire (April 1980) and the University of Michigan (April 1981). More than one hundred participants congregated in the Carolina Inn in April 1982 to discuss the status of grand unified theories and their connection to experiment. The spring foliage of Chapel Hill provided a beautiful back-drop to this Third Workshop on Grand Unification. As mentioned in the first talk herein, these three workshops have heard of indications, respectively, of neutrino oscillations,...
This workshop held at the University of North Carolina was in the series which started with meetings in the University of New Hampshire (April 1980) a...
* The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems
* All the necessary classical material is initially presented
* Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics
* The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing att...
This book is the eighth in a series of Proceedings for the S eminaire Poincar e, which is directed towards a large audience of physicists and of mathematicians. The goal of this seminar is to provide up to date information about general topics of great interest in physics. Both the theoretical and experimental aspects are covered, with some historical background. Inspired by the Bourbaki seminar in mathematics in its organization, hence nicknamed Bourbaphy, this Poincar e SeminarisheldattheInstitutHenriPoincar einParis, withcontributionsprepared...
This book is the eighth in a series of Proceedings for the S eminaire Poincar e, which is directed towards a large audience of physicists and of mathe...
This volume is intended to coverthe presentstatus of the mathematicaltools used to deal with problems related to slow rare?ed ?ows. The meaning and usefulness of the subject, and the extent to which it is covered in the book, are discussed in some detail in the introduction. In short, I tried to present the basic concepts and the techniques used in probing mathematical questions and problems which arise when studying slow rare?ed ?ows in environmental sciences and micromachines. For the book to be up-to-date without being excessively large, it was necessary to omit some topics, which are...
This volume is intended to coverthe presentstatus of the mathematicaltools used to deal with problems related to slow rare?ed ?ows. The meaning and us...
This book confirms noncommutative geometry as an increasingly useful tool for the description of intricate condensed matter phenomena. It describes the striking progress recently made in gathering all the interactions and fields of the standard model into a non-commutative geometry on a simple internal space. Coverage also details the very recent technique of renormalization of quantum field theories on non-commutative space-time.
This book confirms noncommutative geometry as an increasingly useful tool for the description of intricate condensed matter phenomena. It describes...
This book is the sixth in a series of lectures of the S eminaire Poincar e, whichis directed towards a large audience of physicists and of mathematicians. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical and experimental aspects are covered, with some historical background. Inspired by the Bourbaki seminar in mathematics in its organization, hence nicknamed Bourbaphi, the Poincar e Seminar is held twice a year at the Institut Henri Poincar e in Paris, with cont- butions prepared in advance. Particular care is...
This book is the sixth in a series of lectures of the S eminaire Poincar e, whichis directed towards a large audience of physicists and of mathematici...
The book reviews a large number of 1- and 2-dimensional equations that describe nonlinear phenomena in various areas of modern theoretical and mathematical physics. It is meant, above all, for physicists who specialize in the field theory and physics of elementary particles and plasma, for mathe maticians dealing with nonlinear differential equations, differential geometry, and algebra, and the theory of Lie algebras and groups and their representa tions, and for students and post-graduates in these fields. We hope that the book will be useful also for experts in hydrodynamics, solid-state...
The book reviews a large number of 1- and 2-dimensional equations that describe nonlinear phenomena in various areas of modern theoretical and mathema...
Arnold Sommerfeld's Mathematische Theorie der Diffraction marks a milestone in optical theory, full of insights that are still relevant today. In a stunning tour de force, Sommerfeld derives the first mathematically rigorous solution of an optical diffraction problem. Indeed, his diffraction analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his often-cited diffraction solution is presented only as an application of a much more general set of mathematical results. The body of Sommerfeld's work is devoted to the systematic development of a method...
Arnold Sommerfeld's Mathematische Theorie der Diffraction marks a milestone in optical theory, full of insights that are still relevant to...
