Analyticity of the Solutions of Implicit Function Problems with Analytic Data. WITH: Arc Structure of Singularities. JOHN NASH.
Analyticity of the Solutions of Implicit Function Problems with Analytic Data. WITH: Arc Structure of Singularities

Analyticity of the Solutions of Implicit Function Problems with Analytic Data. WITH: Arc Structure of Singularities

”Many of us have the power to develop existing ideas... We follow paths prepared by others. But most of us could never produce anything comparable to what Nash produced. It’s like lightening striking . . . there has been some tendency in recent decades to move from harmony to chaos. Nash said that chaos was just around the corner.” -Mikhail Gromov, on Nash’s embedding theorem

FIRST PRINTING of Nash’s final papers on his embedding theorem.

“In 1966 the Annals of Mathematics published [Nash’s] paper ‘Analyticity of Solutions on Implicit Function Problems with Analytic Data” in which he extended his previous work on the isometric imbedding theorem. During the same year he wrote another paper titled ‘Arc Structure of Singularities’ that remained unpublished until 1995, when the Duke Journal of Mathematics published it in a special issue dedicated to his lifetime of work” (Bradley, Mathematical Frontiers).

Nash final work on embedding “showed that his isometric embedding theorem, and more generally, the Nash-Moser implicit function machinery, can be extended to the real analytic case” (Harold W. Kuhn, Duke Mathematical Journal).

IN: Annals of Mathematics, Second Series, Vol 84, No 2, pp. 345-355. Princeton. NJ: Princeton University Press, 1966. (September). WITH: Arc Structure of Singularities, in: Duke Mathematical Journal, Vol 81, No 1, pp. 31-38. Durham: Duke University Press, 1995. Fine copies in original wrappers.

Price: $1,100 .

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