The Neumann Compendium

1995/06/01 by Ford Brody, Tibor Vámos · 3 citations
Mathematics · #Fixed Point Theorems Analysis

paper · doi:10.1142/2692

openalex publication_date 1995/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26

Abstract

Part 1 Quantum mechanics: mathematical foundations of quantum mechanics the logic of quantum mechanics, G. Birkhoff. Part 2 Ergodic-theory: proof of the quasi-ergodic hypothesis operator methods in classical mechanics, P.R. Halmos. Part 3 Operator algebra: Zur Algebra der Funktionaloperationen und Theorie der Normalen Operatoren on rings of operators on rings of operators, reduction theory. Part 4 Hydro-dynamics: theory of shock waves memorandum - use of variational methods in hydrodynamics. Part 5 Economics: theory of games and economic behaviour. Part 6 Computers: on the principles of large scale computing machines, H. Goldstine. Part 7 Science and society: the mathematician methods in the physical sciences the role of mathematics in the sciences and in society. (Part Contents).

Citations

• Zur allgemeinen Theorie des Masses
• Distribution of the Ratio of the Mean Square Successive Difference to the Variance
• Examples of Continuous Geometries
• Ein System algebraisch unabh�ngiger zahlen
• Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren
• �ber die Definition durch transfinite Induktion und verwandte Fragen der allgemeinen Mengenlehre
• Über die analytischen Eigenschaften von Gruppen linearer Transformationen und ihrer Darstellungen
• Die Axiomatisierung der Mengenlehre
• The Logic of Quantum Mechanics

Cited by

• Why John von Neumann did not Like the Hilbert Space formalism of quantum mechanics (and what he liked instead)
• “unsolved problems in mathematics” J. von Neumann’s address to the international congress of mathematicians, amsterdam, september 2-9, 1954
• John von Neumann [wikipedia]