Mathematics Vol, Signed (5 results)

hardcover. Condition: Used-Very Good. First Edition. Library binding. No dj. Some shelf-wear.

Hardcover. Condition: Near Fine. 1st Edition. Former owner's bookplate. Signed by the author, with a brief inscription to the former owner. Signed by Author(s).

Paperback. Condition: Gut. 520 Seiten Guter Zustand/ mit Widmung von Wolfgang Wendland Mitautor ha1014855 Sprache: Englisch Gewicht in Gramm: 890.

Hardcover. Condition: Very Good. No Jacket. 1st Edition. vi, 508 pp. Original cloth. Very Good. Inscribed on the half-title by Tarski: 'To Bjarni Jónsson/ with warm regards from the authors/ Alfred Tarski.' Also signed by Henkin. An extraordinary association copy. Jónsson was Tarski's first student in the United States (Andrzej Mostowski was Tarski's only previous student in Poland). The Jónsson-Tarski duality takes its name from two papers they co-authored in 1951 and 1952. Fifty years after earning his Ph.D, Jónsson wrote in a 1995 letter to Anita Burdman Feferman: 'I have not yet thought of another person, living or dead whom I would rather have had as a teacher. . He combined an extraordinary mathematical ability with an outstanding talent as a communicator and a willingness to share his ideas with others' (Feferman & Feferman, Alfred Tarski: Life and Logic, p. 3). Jónsson 'signed up for an algebra course with no idea that Tarski, the instructor, was someone of international reputation: 'The subject matter was quite traditional, mostly matrix theory. He adhered to the course description in the text, but occasionally made allusions to other topics. At the beginning of the spring semester I asked if I could sign up for a reading course with him, and when he asked what subject I had in mind, I told him that he had mentioned set theory and the foundations of mathematics in class and that I would like to find out more about these. . He suggested that we start with set theory, beginning by reading Hausdorff's classic Mengenlehre. This opened up a whole new world for me.' Feferman & Feferman discuss Jónsson on pp. 3, 154, 155 [photo], 156, 158, 171, 191, 192, 195, 234 [group photo], 385, 393, 400, 401. Jónsson and Tarski co-wrote Direct Decompositions of Finite Algebraic Systems (1947), the appendix to Tarski's Cardinal Algebras (1949), and 'Boolean Algebras with Operators' (Amer. J. of Math., Vol. 73, 1951, pp. 891-939; Vol. 74, 1952, pp. 127-162). Jónsson also contributed an appendix to Tarski's Ordinal Algebras (1956). 'The axioms for relation algebras can account for the logic of only dyadic (binary, or two-placed) relations, and that only incompletely, whereas modern logic in general deals with polyadic (many-placed) relations. It was to put the latter in mathematical terms that in the late 1940s Tarski introduced the idea of cylindric algebras, so called because the operation of 'cylindrification' (projection on a component) on polyadic reactions corresponds to the logical operation of existential quantification; this approach was developed initially in collaboration with Louise Chin and Frederick B. Thompson and was to become a major subject of research in the Berkeley school. Those efforts would lead two decades later to the first part of an opus, Cylindric Algebras, authored by Tarski together with Leon Henkin and Donald Monk; the second part would not appear until after Tarski's death [in 1985]' (Ibid., p. 192). The 'major exposition of the subject . Tarski participated actively in the writing of all of Part I of Cylindric Algebras; his participation in the project after that was not active, though he was of course kept abreast of it all along the way' (Ibid., pp. 341-42). Jónsson is cited more times in the text than any other author (see pp. 50, 77, 82, 84, 94, 95, 98, 121, 141, 142, 158, 164, 175, 237, 315, 330, 356, 430, 431, 434, 436, 437, 441, 444, 473, 481, 482, 483). Signed by Author(s).

Soft cover. Condition: Very Good. No Jacket. 1st Edition. First separate edition. Original wrappers. Very Good. Signed on front wrapper: 'Regards of the author/J.C.C. McKinsey'. 'McKinsey received B.S. and M.S. degrees from New York University and a Ph.D. degree in 1936 from the University of California, Berkeley. He was a Blumenthal Research Fellow at New York University from 1936 to 1937 and a Guggenheim Fellow from 1942 to 1943. He also taught at Montana State College, and in Nevada, then Oklahoma, and in 1947 he went 'to a research group at Douglas Aircraft Corporation' that later became the RAND Corporation. McKinsey worked at RAND until he was fired in 1951. The FBI considered him a security risk because he was a homosexual, in spite of the fact that he was an open homosexual who had been in a committed relationship for years. He complained to his superior 'How can anyone threaten me with disclosure when everybody already knows?' From 1951 he taught at Stanford University, where he was later appointed a Full Professor in the Department of Philosophy, where he worked with Patrick Suppes on the axiomatic foundations of classical mechanics. He committed suicide at his home in Palo Alto in 1953' (Wikipedia). Signed by Author(s).