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Selected papers. Edited by Luigi Ambrosio, Gianni Dal Maso, Marco Forti, Mario Miranda and Sergio Spagnolo. (English; Italian) Zbl 1096.01015
Berlin: Springer (ISBN 3-540-26169-9/hbk). x, 890 p. EUR 149.45; sFr. 254.00 (2006).
The book under review is a collection of selected papers by Ennio De Giorgi (1928–1996). It begins by two introductory chapters devoted to his biography (Ch. 1) and to the description of his scientific work (Ch. 2). In the latter De Giorgi’s achievements in and contribution to differential equations, the calculus of variations, the foundations of mathematics and the regularity theory of elliptic equations are discussed. The main part of the book consists of 43 papers by De Giorgi (out of his 152). Most of them have been translated from Italian into English. 17 papers are given in both versions: the original Italian and the English translation. The book has been very carefully prepared and printed. It is a valuable source for all interested in the work of De Giorgi. It presents the broad range of his achievements and his entire intellectual path, as a problem solver and as a proponent of deep and ambitious mathematical theories.

MSC:
01A75Collected or selected works