TITLE: English translation of Hilbert's work
QUESTION [7 upvotes]: Does anyone know if there is an English translation of Hilbert's:
"Grundzuge einer allgemeinen Theorie der linearen Integralgleichungen, Teubner, Leipzig, 1912".   ??
Thanks,
Andre

REPLY [8 votes]: 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."