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**Selected papers. Vols. I, II. Edited by Peter Sarnak and Andrew Majda.**
*(English)*
Zbl 1087.01018

New York, NY: Springer (ISBN 0-387-22925-6/v.1; 0-387-22926-4/v.2). xx, 617 p./v.1; xviii, 591 p./v.2. (2005).

This is a collection of papers by one of the great mathematicians of our time. Of course, there is no need to praise Peter Lax’ mathematical achievements and remarkable personality; whoever wants to get an interesting insight is strongly recommended to read Martin Raussen’s and Christian Skau’s interview with Peter Lax which took place in Oslo on the 23rd of May, 2005, prior to the Abel Prize celebrations, and which is published in the Issue 57 (September 2005) of the EMS Newsletter.

The first volume of this selection contains 9 papers on partial differential equations (1952–1985), 4 papers on difference approximations to partial differential equations (1956–1978), 7 papers on hyperbolic systems of conservation laws (1954–1996), and 8 papers on integrable systems (1968–1991). The second volume contains 5 papers on scattering theory in Euclidean space (1962–1972), 10 papers on scattering theory for automorphic functions (1979–1985), 6 papers on functional analysis (1956–1994), 5 papers on calculus and measure theory (1971–2001), and 5 papers on algebra (1965–1998).

The depth and wide range covered by Lax’ research contributions illustrate his broad view of mathematical analysis as a whole. The editors of these two volumes have done an excellent job: they didn’t just collect some papers “at random”, but also explain, in detailed commentaries, the contents and importance of the included publications at the end of each section.

The first volume of this selection contains 9 papers on partial differential equations (1952–1985), 4 papers on difference approximations to partial differential equations (1956–1978), 7 papers on hyperbolic systems of conservation laws (1954–1996), and 8 papers on integrable systems (1968–1991). The second volume contains 5 papers on scattering theory in Euclidean space (1962–1972), 10 papers on scattering theory for automorphic functions (1979–1985), 6 papers on functional analysis (1956–1994), 5 papers on calculus and measure theory (1971–2001), and 5 papers on algebra (1965–1998).

The depth and wide range covered by Lax’ research contributions illustrate his broad view of mathematical analysis as a whole. The editors of these two volumes have done an excellent job: they didn’t just collect some papers “at random”, but also explain, in detailed commentaries, the contents and importance of the included publications at the end of each section.

Reviewer: Jürgen Appell (Würzburg)

### MSC:

01A75 | Collected or selected works; reprintings or translations of classics |