1 Table of Contents: “...Preface -- Hilbert’s Problems.-The Way We Were -- Intermezzo: Verlaine and Poincaré from Etudes...”

2 Table of Contents: “... -- Hilbert’s Tenth Problem: Diophantine Equations in the Twentieth Century -- Observations on the Movement...”

3 Table of Contents: “...1 Twentieth Century Quantum Mechanics -- 2 Mathematical Methods in Quantum Mechanics -- 3...”

4 Table of Contents: “...Preface.-Acknowledgements -- I. "Invariant Variational Problems". II -- Invariance and Conservation...”

5 Subjects: “...Hilbert's 5th problem...”

6 Table of Contents: “...to the Subject -- 18 Variational Problems, the Ritz Method, and the Idea of Orthogonality -- 19...”

7 Table of Contents: “... of the Modern Age -- 5. Hilbert and the Twentieth Century -- 6. The Four-Color Theorem -- 7. Computer-Generated...”

8 Table of Contents: “... Problem for School Pupils -- A Into How Many Parts do n Lines Divide the Plane?- Editors' Comments...”

9 Table of Contents: “... Properties of Polynomials -- Galois Theory -- Ideals in Polynomial Rings -- Hilbert#x2019;s Seventeenth...”

10 Table of Contents: “...Introduction -- The Foundational Crisis of Mathematics -- Formalism -- Hilbert’s Attempt...”

11 “... and early years of research and teaching, into his continued professorship and solution of the 19th problem...”

12 “.... It was later included as the first of mathematician David Hilbert's twenty-three unsolved math problems...”

13 Table of Contents: “... and the Limits of Physics -- Hertz’s Influence on Twentieth Century Science and Philosophy -- The Reception...”

14 Table of Contents: “...Axiomatics - Euclid's and Hilbert's: From Material to Formal -- Solution by Radicals of the Cubic...”

15 Table of Contents: “... -- Formalism -- Hilbert’s Attempt at Recovery -- Part II, Classicial Computability Theory -- The Quest for a...”

16 Table of Contents: “.... Hilbert's Grundlagen -- 5. More Euclidean Geometry -- 6. Models for the Hyperbolic Plane -- 7. Affine...”

17 Table of Contents: “... of a Hilbert Space (1957) -- The Logic of Propositions Which are not Simultaneously Decidable (1960...”

18 Table of Contents: “.... Hilbert’s 17th Problem -- §7. The Work of Artin -- §8. From Artin to Pfister -- §9. The Work of Pfister...”

19 Table of Contents: “...Chapter 19. Mathematical modernism, goal or problem? The opposing views of Felix Hausdorff...”

20 Table of Contents: “... for homeomorphisms of the circle -- A survey of results and open problems on the Schilling equation -- Properties...”