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), with its attendant consequence
that most equations have no solution, was not merely an unexpected
fact, but changed the viewpoint of the entire field. Lewy made
pivotal contributions in many other areas, for example, the
regularity theory of elliptic equations and systems, the Monge--
AmpSre Equation, the Minkowski Problem, the asymptotic analysis of
boundary value problems, and several complex variables. He was
among the first to study variational inequalities. In much of his
work, his underlying philosophy was that simple tools of function
theory could help one understand the essential concepts embedded in
an issue, although at a cost in generality. This approach was
extremely successful. In this two-volume work, most all of Lewy's
papers are presented, in chronological order. They are preceded by
several short essays about Lewy himself, prepared by Helen Lewy,
Constance Reid, and David Kinderlehrer, and commentaries on his
work by Erhard Heinz, Peter Lax, Jean Leray, Richard MacCamy,
Fran?ois Treves, and Louis Nirenberg. Additionally, there are
Lewy's own remarks on the occasion of his honorary degree from the
University of Bonn.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
