John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced...

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Transcript of John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced...

Page 1: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 2: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American

John von Neumann (/vɒn n̍ɔɪmən/; Hungarian: Neumann János Lajos, pronounced [n̍ɒjmɒn j̍anːoʃ l̍ɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. Von Neumann was generally regarded as the foremost mathematician of his time and said to be "the last representative of the great mathematicians"; who integrated both pure and applied sciences. He made major contributions to a number of fields, including mathematics (foundations of mathematics, functional analysis, ergodic theory, representation theory, operator algebras, geometry, topology, and numerical analysis), physics (quantum mechanics, hydrodynamics, and quantum statistical mechanics), economics (game theory), computing (Von Neumann architecture, linear programming, self-replicating machines, stochastic computing), and statistics.

Page 3: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 4: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 5: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 6: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 7: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 8: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 9: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 10: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 11: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 12: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 13: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 14: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 15: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 16: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 17: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 18: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 19: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 20: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 21: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 22: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 23: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 24: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 25: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 26: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 27: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 28: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 29: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 30: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 31: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 32: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 33: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 34: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 35: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 36: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 37: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 38: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 39: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 40: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 41: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 42: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 43: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 44: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 45: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 46: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 47: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 48: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 49: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 50: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 51: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 52: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 53: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 54: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 55: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 56: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 57: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 58: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 59: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 60: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 61: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 62: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 63: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 64: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 65: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 66: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 67: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
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Page 69: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
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Page 71: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
Page 72: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American
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Page 99: John von Neumann...John von Neumann (/vɒn nɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn jaːnoʃ lɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American