The mathematical works of Fritz John whose deep and original ideas have had a great influence on the development of various fields in mathema- tical analysis are made available with these volumes. His works are certainly well known to the experts, but knowledge of his contributions may not have spread as widely as it should have. For example, the concept of functions of bounded mean oscillations plays a central role in harmonic analysis today, but it is perhaps less known that this class of functions was introduced by John as early as 1961, motivated by his work in elasticity theory. With the...
The mathematical works of Fritz John whose deep and original ideas have had a great influence on the development of various fields in mathema- tical a...
In 1981 I was approached by Klaus Peters to assist in publishing a selection of the papers of Kurt Otto Friedrichs. With some reluctance Friedrichs has agreed to help in making the selection although in the initial stages only one paper 47-2] was in his opinion worthy of being included. With some coaxing on my part the selection was made mainly by Friedrichs despite his frequent modest grumble that it did not make sense to include "that" paper as "X" had subsequently improved either the result or the proof. Later P.D. Lax and L. Nirenberg identified appropriate papers and, perhaps not so...
In 1981 I was approached by Klaus Peters to assist in publishing a selection of the papers of Kurt Otto Friedrichs. With some reluctance Friedrichs ha...
The work presented in this report originated in connection with a research project in magneto-hydrodynamics conducted by Professor H. Grad at the Institute of Mathematical Sciences at New York Univer- sity; the report was completed while the author was a consultant at Los Alamos Scientific Laboratory. The report contains an expository analysis of the mathematical structure of magneto-hydrodynamic theory; specifically, of the theory of the interaction of magnetic fields with conducting compressible fluids. One of the major aims is to emphasize the remarkably close parallelism between this...
The work presented in this report originated in connection with a research project in magneto-hydrodynamics conducted by Professor H. Grad at the Inst...
The work of Hans Lewy (1904--1988) has had a profound influence in the direction of applied mathematics and partial differential equations, in particular, from the late 1920s. Two of the particulars are well known. The Courant--Friedrichs--Lewy condition (1928), or CFL condition, was devised to obtain existence and approximation results. This condition, relating the time and spatial discretizations for finite difference schemes, is now universally employed in the simulation of solutions of equations describing propagation phenomena. Lewy's example of a linear equation with no solution (1957),...
The work of Hans Lewy (1904--1988) has had a profound influence in the direction of applied mathematics and partial differential equations, in particu...
Devoted to the history of general relativity, this text provides reviews from scholars all over the world. Many of the papers originated at the Third International Conference on the History of General Relativity, held at the University of Pittsburgh in the summer of 1991. Topics covered include: disputes with Einstein; the empirical basis of general relativity; variational principles in general relativity; the reception and development of general relativity; and cosmology and general relativity.
Devoted to the history of general relativity, this text provides reviews from scholars all over the world. Many of the papers originated at the Third ...
This "Select a" contains approximately two thirds of the papers my 1932 to 1994. These papers are divided into four fields. father wrote from The first volume contains the papers on 1) Summability and Number Theory and 2) Interpolation. The second volume contains the fields 3) Real and Functional Analysis and 4) Approximation Theory. Each of these four groups of papers is introduced by a review of the contents and significance, respectively of the impact of these papers. The first volume contains, in addition, an autobiography, a complete list of publications, a list of doctoral students and...
This "Select a" contains approximately two thirds of the papers my 1932 to 1994. These papers are divided into four fields. father wrote from The firs...
The works of George G. Lorentz, spanning more than 60 years, have played a significant role in the development and evolution of mathematical analysis. The papers presented in this volume represent a selection of his best works, along with commentary from his students and colleagues.
The works of George G. Lorentz, spanning more than 60 years, have played a significant role in the development and evolution of mathematical analysis....
Norman Levinson (1912-1975) was a mathematician of international repute. This collection of his selected papers bears witness to the profound influence Levinson had on research in mathematical analysis with applications to problems in science and technology.
Norman Levinson (1912-1975) was a mathematician of international repute. This collection of his selected papers bears witness to the profound influenc...
Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas- sachusetts, in 1999. He had several careers, most notably as a mathematician, but also as a philosopher and a consultant to the United States government. His mathe- matical career was equally varied. His early mathematical studies were at Princeton (1950 to 1953) and Yale (1953 to 1956). In 1956, he completed his doctoral thesis under the direction of Jacob T. Schwartz. This thesis was published as the pa- per "Extension theory of differential operators I," the first paper reprinted in this volume. Rota's early...
Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas- sachusetts, in 1999. He had several careers, most notably as a mathem...
Numerous improvements in our understanding of the mechanisms that underlie neuropathic pain states have come from the development of animal models, most of which involve partial peripheral nerve injury. The animal models have shown that nerve injury initiates a cascade of events resulting in altered neurochemistry and molecular biology of the peripheral neurons, the dorsal root ganglion cell, and changes in neurotransmitter and receptor expression in the dorsal horn of the spinal cord. Moreover, nerve injury produces anatomical changes with functional consequences. This volume...
Numerous improvements in our understanding of the mechanisms that underlie neuropathic pain states have come from the development of animal models,...