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Overview

The book contains a selection of 43 scientific papers of the great mathematician Ennio De Giorgi. All papers are written in English and 17 of them appear also in their original Italian version. The editors provide also a short biography of Ennio De Giorgi and a detailed account of his scientific achievements, ranging from his seminal paper on the solution of Hilbert’s 19th problem to the theory of perimeter and minimal surfaces, the theory of G-convergence and the Foundations of Mathematics.

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Editorial Reviews

From the Publisher

From the reviews:

"The book under review is a collection of selected papers by Ennio De Giorgi (1928-1996). … 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." (Roman Murawski, Zentrablatt MATH, Vol. 1096 (22), 2006)

"This volume contains a well-balanced choice of papers written by Ennio De Giorgi, an outstanding Italian mathematician of the 20th century. … In my opinion the volume, which covers all the main directions of the author’s activities (measure theory, the 19th Hilbert problem, minimal hypersurfaces, G- and D-convergence, and foundations of mathematics) should be on the shelves of every mathematical library." (EMS Newsletter, December 2006)

From the Publisher

From the reviews:

"The book under review is a collection of selected papers by Ennio De Giorgi (1928-1996). … 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." (Roman Murawski, Zentrablatt MATH, Vol. 1096 (22), 2006)

"This volume contains a well-balanced choice of papers written by Ennio De Giorgi, an outstanding Italian mathematician of the 20th century. … In my opinion the volume, which covers all the main directions of the author’s activities (measure theory, the 19th Hilbert problem, minimal hypersurfaces, G- and D-convergence, and foundations of mathematics) should be on the shelves of every mathematical library." (EMS Newsletter, December 2006)

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Product Details

  • ISBN-13: 9783540261698
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 5/5/2006
  • Edition description: 2006
  • Edition number: 1
  • Pages: 899
  • Product dimensions: 6.40 (w) x 9.40 (h) x 2.00 (d)

Meet the Author

Ennio de Giorgi (Lecce, February 8, 1928 – Pisa, October 25, 1996) was an influential Italian mathematicians of the 20th century. He made important contributions to mathematical analysis, in particular to the study of minimal surfaces and to the regularity of the solutions of elliptic partial differential equations. In terms of the regularity of solutions of elliptic partial differential equations, one of his major contributions was to solve the 19th Hilbert problem. At roughly the same time he solved it, John Forbes Nash solved it in a completely independent fashion. His work has influenced Luis Caffarelli and many other mathematicians.

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Table of Contents

Preface.- Biography.- Prizes and academic awards.- Teaching and academic commitment.- The activities out of Pisa.- Civil, religious and political commitment.- The scientific work of Ennio De Giorgi.- From the juvenile papers to Plateau’s problem and the solution of Hilbert’s19th problem.- Partial differential equations and the foundations of G-convergence.- Asymptotic problems in the Calculus of Variations.- The most recent developments in the Calculus of Variations.- The work on Foundations of Mathematics.- De Giorgi’s contribution to the regularity theory for elliptic partial differential equations, by Luis Caffarelli.- Remarks on some of the analytical work of Ennio De Giorgi, by Louis Nirenberg.- Complete list of De Giorgi’s scientific publications.- Selected papers.

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