1 “...For about a decade I have made an effort to study quadratic forms in infinite dimensional vector...”

2 Table of Contents: “... equations -- Four: Invertible matrices -- Five: Vector spaces -- Six: Linear mappings -- Seven: The matrix...”

3 Table of Contents: “... for the set of n-vectors -- 9. The vector space spanned hy a finite set of vectors -- Exercises on chapter I...”

4 “... many variables). The underlying ideas of vector space, convex cone, and separating hyperplane...”

5 Table of Contents: “...7. Abstract Spaces. Hilbert Space -- Linear Vector Space. Axioms -- Inner Product -- Pre-Hilbert...”