Description
(Table of content)
1 Prologue.- 2 Count Tolstoy and Wiener's Father.- 3 New England and Wiener's Early Training, 1901-1905.- 4 Harvard and Wiener's University Training, 1906-1913.- 5 Bertrand Russell and Wiener's Postdoctoral Years, 1914-1917.- 6 World War I and Wiener's Military Yearnings.- 7 From Postulate Systems to the Brownian Motion and Potential Theory.- 8 The Allotment of National Income, Marriage, and Wiener's Academic Career.- 9 From Communications Engineering to Generalized Harmonic Analysis and Tauberian Theory.- 10 Max Born and Wiener's Thoughts on Quantum Mechanics and Unified Field Theory.- 11 The Collaboration with E. Hopf and R.E.A.C. Paley.- 12 Birkhoff's Theorem and the Consolidation of Wiener's Ideas on Statistical Physics.- 13 Lee, Bush, and Wiener's Thoughts on Networks and Computers.- 14 Bigelow and Anti-Aircraft Fire Control, 1940-1945.- 15 Arturo Rosenblueth and Wiener's Work in Physiology.- 16 McCulloch, Pitts and the Evolution of Wiener's Neurophysiological Ideas.- 17 TheCybernetical Movement and von Neumann's Letter, 1946.- 18 Cybernetics.- 19 The Second Industrial Revolution and its Educational, Economic and Social Challenges.- 20 Wiener on Global Policy and Military Science; von Neumann's Position; Science and Human Welfare.- 21 Wiener's Excursion into the Religious Domain.- 22 Wiener's Literary Predilections and Initiatives. His Concept of Art.- 23 Wiener, the Man and the Teacher: Authenticity and Prejudice in his Attitudes and Writings.- 24 Epilogue.- Academic Vita of Norbert Wiener.- Doctoral Students of Norbert Wiener.- The Classification of Wiener's Papers.- Bibliography of Norbert Wiener.- Defense Department Documents.- References.- Name Index.- Photograph Index and Credits.Note 5: Hausdorff dimension.- 8 The Allotment of National Income, Marriage, and Wiener's Academic Career.- Slow promotion and resulting competitiveness. Mal-allocation of national income. Margaret Engemann and marriage. Search for positions abroad.- 9 From Communications Engineering to Generalized Harmonic Analysis and Tauberian Theory.- A) Harmonic analysis. B) Heaviside's operational calculus [26d, 29c]. C) From power to communications engineering. D) Generalized harmonic analysis. E) Tauberian theory. F) The intensity, coherence and polarization of light. Note 1: A proof of 9A (9). Note 2: Historical remarks. Note 3: Spectral synthesis. Note 4: Conditional Banach spaces.- 10 Max Born and Wiener's Thoughts on Quantum Mechanics and Unified Field Theory.- A) The Uncertainty Principle in classical physics. B) The collaboration with Max Born. C) The work with Struik and Vallarta on unified field theory. D) The philosophical interlude. Leibniz and Haldane. E) Quantum theory and the Brownian motion. Hidden-parameters. Note: The mapping M?.- 11 The Collaboration with E. Hopf and R.E.A.C. Paley.- A) Radiative equilibrium in the stars. B) Significance of the Hopf-Wiener equation; causality and analyticity. C) Paley and the Fourier transformation in the complex domain.- 12 Birkhoff's Theorem and the Consolidation of Wiener's Ideas on Statistical Physics.- A) The need for ergodicity in Gibbsian statistical mechanics. B) Wiener's work in Ergodic Theory. C) The contingent cosmos, noise, and Gibbsian statistical mechanics. D) The Second Law of Thermodynamics. Entropy. E) The homogeneous chaos and the Wiener program in statistical mechanics. F) Anisotropic time and Bergsonian time. G) Information, negentropy and Maxwell's demon. Note 1: Definition of the Hamiltonian. Note 2: Thermodynamic entropy. Note 3: Boltzmann statistical entropy. Note 4: Proof of equality of entropy and information.- 13 Lee, Bush, and Wiener's Thoughts on Networks and Computers.- A) The analogue computer program at MIT. The Wiener integraph. B) The Lee-Wiener network. C) Further work with Lee. The refugee problem. Visit to the Orient. D) Wiener's 1940 memorandum on an electronic computer for partial differential equations. Note 1: The Wiener integraph. Note 2: Proof of the relation 13B (3). Note 3: The Lee-Wiener network. Note 4: Scanning procedure to solve the PDE.- 14 Bigelow and Anti-Aircraft Fire Control, 1940-1945.- A) Project D.I. C. 5980: Its military and scientific significance. B) Idealization of the flight trajectory and resulting tasks. C) The mathematical theory. D) Operation of the anti-aircraft predictor. E) Resolution of the man-machine concatenation. F) The problem of transients. G) Secrecy, overwork and tension. H) Kolmogorov's paper and prediction theory. I) The Kolmogorov-Wiener concatenation. Note 1: Bigelow's design. Note 2: The equation 14C (3); theory of instrumentation.- 15 Arturo Rosenblueth and Wiener's Work in Physiology.- A) Rosenblueth,
Contents
1 Prologue.- 2 Count Tolstoy and Wiener's Father.- 3 New England and Wiener's Early Training, 1901-1905.- 4 Harvard and Wiener's University Training, 1906-1913.- 5 Bertrand Russell and Wiener's Postdoctoral Years, 1914-1917.- 6 World War I and Wiener's Military Yearnings.- 7 From Postulate Systems to the Brownian Motion and Potential Theory.- 8 The Allotment of National Income, Marriage, and Wiener's Academic Career.- 9 From Communications Engineering to Generalized Harmonic Analysis and Tauberian Theory.- 10 Max Born and Wiener's Thoughts on Quantum Mechanics and Unified Field Theory.- 11 The Collaboration with E. Hopf and R.E.A.C. Paley.- 12 Birkhoff's Theorem and the Consolidation of Wiener's Ideas on Statistical Physics.- 13 Lee, Bush, and Wiener's Thoughts on Networks and Computers.- 14 Bigelow and Anti-Aircraft Fire Control, 1940-1945.- 15 Arturo Rosenblueth and Wiener's Work in Physiology.- 16 McCulloch, Pitts and the Evolution of Wiener's Neurophysiological Ideas.- 17 The Cybernetical Movement and von Neumann's Letter, 1946.- 18 Cybernetics.- 19 The Second Industrial Revolution and its Educational, Economic and Social Challenges.- 20 Wiener on Global Policy and Military Science; von Neumann's Position; Science and Human Welfare.- 21 Wiener's Excursion into the Religious Domain.- 22 Wiener's Literary Predilections and Initiatives. His Concept of Art.- 23 Wiener, the Man and the Teacher: Authenticity and Prejudice in his Attitudes and Writings.- 24 Epilogue.- Academic Vita of Norbert Wiener.- Doctoral Students of Norbert Wiener.- The Classification of Wiener's Papers.- Bibliography of Norbert Wiener.- Defense Department Documents.- References.- Name Index.- Photograph Index and Credits.
