Rainer Kress Boeken

The result of the author's fascination with the mathematical beauty of integral equations, this book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter.

This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. The second edition includes material on Newton s method for the inverse obstacle problem, an elegant proof of uniqueness for the inverse medium problem, a discussion of the spectral theory of the far field operator and a method for determining the support of an inhomogeneous medium from far field data.

An introduction into numerical analysis for students in mathematics, physics, and engineering. Instead of attempting to exhaustively cover everything, the goal is to guide readers towards the basic ideas and general principles by way of the main and important numerical methods. The book includes the necessary basic functional analytic tools for the solid mathematical foundation of numerical analysis -- indispensable for any deeper study and understanding of numerical methods, in particular, for differential equations and integral equations. The text is presented in a concise and easily understandable fashion so as to be successfully mastered in a one-year course.

Das Buch enthält Vorträge, die gehalten wurden auf der von Prof. R. Kress und Prof. N. Weck vom 16.4. bis 22.4.1978 im Mathematischen Forschungsinstitut Oberwolfach veranstalteten Tagung über Freie und gemischte Randwertaufgaben bei partiellen Differentialgleichungen.

At the Conference in Oberwolfach organized by Prof. R. Kress and Prof. J. Wick questions on mathematical methods of plasmaphysics were being dealt with. This book contains the papers presented at this Conference by the following mathematicians and physicists: Klaus Elsässer, K. Graf Finck von Finckenstein, R. J. Gribben, E. J. Parkes, R. Keil, K. Knorr/M. Mond, S. Kuhn, H. Schamel, G. Spindler, B. Steffen, P. Vachenauer, J. Vogel, H. U. Schmidt/ R. Wegmann, J. Denavit, H. Neunzert/J. Wick, and Sh. Kaniel.