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With corrigenda laid in. Original cloth, head an tail of spine very slightly worn, otherwise an excellent copy.

$4,500.00

Princeton: Princeton University Press,, 1944. Octavo (235 x 153 mm). Original oatmeal cloth, spine lettered in gilt on a dark red panel, pale red top edge, preserved in a custom made cloth box. List of corrigenda printed on thin paper tipped onto the front free endpaper. Small bookseller's ticket tipped onto the front free endpaper. A very good copy. First edition, first printing, of the groundbreaking text that created the interdisciplinary research field of game theory.

$3,125.25

Princeton: Princeton University Press, 1944. First edition, first printing. The copy of distinguished mathematician Andrew M. Gleason who (together with Montgomery and Zippin) resolved Hilbert’s Fifth Problem; a problem to which Von Neumann also greatly contributed. Gleason’s theorem of mathematical physics plays a fundamental role in quantum mechanics and in particular in hidden variable theories. A fine copy of Von Neumann and Morgenstern's groundbreaking text that created the interdisciplinary research field of game theory. “Quantitative mathematical models for games as poker or bridge at one time appeared impossible, since games like these involve free choices by the players at each move, and each move reacts to moves of other players. However, in the 1920s John von Neumann single-handedly invented game theory, introducing the general mathematical concept of ‘strategy’ in a paper on games of chance [Zur Theorie der Gesellschaftsspiele, Math. Ann. 100, 1928]. This contained the proof of his ‘minimax’ theorem that says ‘a strategy exists that guarantees, for each player, a maximum payoff assuming that the adversary acts so as to minimize that payoff.’ The ‘minimax’ principle, a key component of the game-playing computer programs developed in the 1950s and 1960s by Samuel, Newell, Simon, and others, was more fully articulated and explored in ‘The Theory of Games and Economic Behavior’, co-authored by von Neumann and the Austrian economist Oskar Morgenstern. Game theory, which draws upon mathematical logic, set theory and functional analysis, attempts to describe in mathematical terms the decision-making strategies used in games and other competitive situations. … Von Neumann revolutionized mathematical economics. Had he not suffered an early death from cancer in 1957, he most probably would have received the Noble Prize in economics. Several mathematical economists influenced by von Neumann’s ideas [as Nash, Harsanyi and Selten] later received the Nobel Prize in Economics”. (Hook & Norman: Origins of Cyberspace, p.473). OOC 953 [lacking jacket]; Norman 2167. Provenance: With the stamp of the distinguished American mathematician Andrew Mattei Gleason (1921-2008) famous for contributions in solving Hilbert's Fifth Problem and Gleason's theorem. "Gleason won the Newcomb Cleveland Prize from the American Association for the Advancement of Science [in 1952] for his contribution to the solution of the problem. It was, as was stated when the prize was presented to him ‘... an outstanding contribution to science’.” (MacTutor History of Mathematics). He was elected to the American Academy of Arts and Sciences in 1956, to the National Academy of Science in 1966, and to the American Philosophical Society in 1977. Gleason's solution to Hilbert's problem [the question of whether all continuous groups are automatically differential groups] partly built on the work by Von Neumann in this field, and in particular on Von Neumann’s important 1933 solution of the problem in the special case of compact groups. Gleason’s theorem, on the uniqueness of measures in quantum mechanics, plays a fundamental role in the analysis of quantum measurement, and was essential to the groundbreaking work done in the 1960’s by John Bell on hidden variable theories of quantum physics; also a problem which Von Neumann worked much on.
8vo: 234 x 155 mm. Original cloth without the rare dust jacket; binding tight and clean. Rubberstamp 'Andrew M. Gleason' to the front free end-paper XVIII, 625, (1) pp. Errata sheet loosely inserted, as issued. Completley clean and fresh throughout. A fine copy.

$2,850.00

Princeton, NJ: Princeton University Press, 1947. 642 pp. Original brown cloth covers w/ gilt title on spine. Spine a bit sunned; ends bumped. Modest rubbing to corners. Light foxing to edges of text block and endpapers. Previous owner's name on front blank endpaper. Illust. w/ numerous figures. Contents nice.. Second Edition. Hard Cover. Very Good-/No Dust Jacket. 8vo - over 7¾" - 9¾" tall.

$205.00

SCIENCE EDITIONS. Paperback. Good. We ship International with Tracking Number! May not contain Access Codes or Supplements. Buy with confidence, excellent customer service! j

$161.91

Princeton University Press. Paperback. Good. We ship International with Tracking Number! May not contain Access Codes or Supplements. Buy with confidence, excellent customer service! j

$138.67

LoCo1: Princeton University Press. 1947. Hardcover. UsedGood. Hardcover, 2nd edition; surplus library copy with the usual stampings; refe rence number removed from spine; fading and shelf wear to exterior; scrape inside front board; otherwise in good condition with clean text, firm bindi ng. .

$50.05

John Wiley & Sons Inc. Used - Good. Good condition.

$44.99

Princeton, NJ Princeton University Press, 1980. Paperback First Ed thus, so stated. Very Good+ in Wraps: shows indications of very careful use: light wear to extremities, with a small scuffed area at the upper front corner tip; mild rubbing to wrapper covers; the price has been neatly blocked out at the upper rear panel; some shelf soiling along the bottom edge; fomer owner's rubber stamped name in tiny letters at the upper corner of the front endpaper; binding square and secure; text clean. Structurally and sound and tightly bound, showing minor wear: remains close to 'As New'. NOT a Remainder, Book-Club, or Ex-Library. 8vo. 641pp. First Ed Thus, so stated, following the Third Hardcover Edition of 1953. University Press Paperback. John von Neumann (December 28, 1903 – February 8, 1957) was a Hungarian pure and applied mathematician and polymath. He made major contributions to a number of fields, including mathematics (foundations of mathematics, functional analysis, ergodic theory, geometry, topology, and numerical analysis), physics (quantum mechanics, hydrodynamics, and fluid dynamics), economics (game theory), computer science (Von Neumann architecture, linear programming, self-replicating machines, stochastic computing), and statistics. He was a pioneer of the application of operator theory to quantum mechanics, in the development of functional analysis, a principal member of the Manhattan Project and the Institute for Advanced Study in Princeton (as one of the few originally appointed), and a key figure in the development of game theory and the concepts of cellular automata, the universal constructor, and the digital computer. Von Neumann's mathematical analysis of the structure of self-replication preceded the discovery of the structure of DNA. In a short list of facts about his life he submitted to the National Academy of Sciences, he stated "The part of my work I consider most essential is that on quantum mechanics, which developed in Göttingen in 1926, and subsequently in Berlin in 1927–1929. Also, my work on various forms of operator theory, Berlin 1930 and Princeton 1935–1939; on the ergodic theorem, Princeton, 1931–1932." Along with Edward Teller and Stanislaw Ulam, von Neumann worked out key steps in the nuclear physics involved in thermonuclear reactions and the hydrogen bomb. Oskar Morgenstern (January 24, 1902 – July 26, 1977) was a German-born economist. He was a prominent member of the Austrian School of Economics before the Second World War and later, in collaboration with mathematician John von Neumann, he founded the mathematical field of game theory and its application to economics. In 1947, John von Neumann and Oskar Morgenstern exhibited four relatively modest axioms of "rationality" such that any agent satisfying the axioms has a utility function. That is, they proved that an agent is (VNM-)rational if and only if there exists a real-valued function u defined by possible outcomes such that every preference of the agent is characterized by maximizing the expected value of u, which can then be defined as the agent's VNM-utility (it is unique up to adding a constant and multiplying by a positive scalar). No claim is made that the agent has a "conscious desire" to maximize u, only that u exists. The expected utility hypothesis is that rationality can be modeled as maximizing an expected value, which given the theorem, can be summarized as "rationality is VNM-rationality". VNM-utility is a decision utility in that it is used to describe decision preferences. It is related but not equivalent to so-called E-utilities (experience utilities), notions of utility intended to measure happiness such as that of Bentham's Greatest Happiness Principle.

$44.27

NY: SCIENCE EDITIONS, 1964. owner's name to ffep, . 2ND. PAPERBACK. VG.

$37.50