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.]
- Theory of algebraic invariants (1993) [lecture notes]
- Theorie der algebraischen Zahlkörper (1897) -- The theory of algebraic number fields (1998)