English translation of Hilbert's work Does anyone know if there is an English translation of Hilbert's:
"Grundzuge einer allgemeinen Theorie der linearen Integralgleichungen, Teubner, Leipzig, 1912".   ??
Thanks,
Andre
 A: Yes, there is a translation, but not an official one and only of the "Erste Mitteilung", not the whole book: The pdf

FREDHOLM, HILBERT, SCHMIDT
  Three Fundamental Papers on
  Integral Equations, 
  Translated with commentary by
  G. W. Stewart

contains "Foundations of a General Theory of Linear Integral Equations" (starting on p.55 (59 in the pdf)). This is a translation of the paper 

Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen, Erste 
  Mitteilung Nachrichten der  Wissenschaftlichen Gesellschaft zu Göttingen, Math.-phys. Kl. (1904),49-91".

I haven't seen translation of the five other "Mitteilung" under the same title (but I haven't seen version of the second, third and sixth Mitteilung even in German…).
The other two papers in the pdf are Fredholm's "On a Class of Functional Equations" and Schmidt's "On the Theory of Linear and Nonlinear Integral Equations. Part I: The Expansion of Arbitrary Functions by
Prescribed Systems."
A: this 2014 overview lists the known translations in English of Hilbert's books, the 1912 book in the OP is not among them:


*

*Grundlagen der Geometrie (1899) -- The Foundations of Geometry (1902)

*Methoden der Mathematischen Physik, Vol. I (1924) and Vol. II
(1937) -- Methods of Mathematical Physics, Vol. I (1953) and Vol.
II (1962) 

*Grundzüge der theoretischen Logik (1928) -- Principles of Mathematical Logic (1950) 

*Anschauliche Geometrie (1932) -- Geometry and the Imagination (1952) 

*Hilbert's invariant theory papers (1978) [four papers: On the invariant properties of special binary forms, especially spherical functions.
On a general point of view for invariant-theoretic investigation of binary forms.
On the theory of algebraic forms.
On the complete systems of invariants.]

*Vorlesungen über algebraische Invariantentheorie (1897) -- Lecture notes on the  Theory of algebraic invariants (1993)

*Theorie der algebraischen Zahlkörper (1897) -- The theory of algebraic number fields (1998)

