NUMBER THEORY AND NUMBER ANALYSIS, 13 WORKS

i. Householder, Alston Scott (1904-1993). Principles of numerical analysis. New York: McGraw-Hill Book Company, 1953, original blue cloth, [T&W H172]ii. Richardson, Lewis Fry (1881-1953). Weather prediction by numerical process. Cambridge: Cambridge University Press, 1922, original cloth, dust-jacket, [T&W R88]iii. Walther, Alwin Oswald (1898-1967). "Zur numerischen Integration" [in:] Särtryck ur Skandinavisk Aktuarietidskrift 1925. Uppsala: Almqvist & Wiksells, 1925, pp.148-162, original pale green wrappers, [T&W W8]iv. Dantzig, Tobias (1884-1956). Le nombre. Langage de la science. Paris: Payot, 1931, original wrappers, glassine, [T&W D6]v. Dantzig, Tobias. Number. The Language of Science. London: George Allen & Unwin, 1930, original cloth, [T&W D7]vi. Dantzig, Tobias. Number, the language of science. A critical survey written for the cultured non-mathematician. New York: Macmillan, 1949, original cloth, [T&W D8]vii. Dantzig, Tobias. Number. The Language of Science... fourth edition. London: George Allen & Unwin, 1962, original cloth, dust-jacket, [T&W D8]viii. Dedekind, Julius Wilhelm Richard (1831-1916). Was sind und was sollen die Zahlen. Braunschweig: Vieweg, 1893, later stiff wrappers, preserved in cloth folding box, some tape repairs, [T&W D26]ix. Dedekind, Julius Wilhelm Richard. Essays on the theory of numbers. Chicago: Open Court, 1909, translated by Wooster Woodruff Beman, original red cloth, [T&W D25]x. Fine, Henry Burchard (1858-1928). The number-system of algebra treated theoretically and historically. Boston: Leech, Shewell, & Sanborn, 1890, original blue cloth, [T&W F57]xi. Fine, Henry Burchard. The number-system of algebra treated theoretically and historically. Boston: D. C. Heath & Co. 1907, original blue cloth, [T&W F58]xii. Rademacher, Hans (1892-1969) and Toeplitz, Otto (1881-1940). Von Zahlen und Figuren: Proben mathematischen Denkens für Liebhaber der Mathematik. Berlin: Julius Springer, 1930, original blue cloth, [T&W R1]xiii. Dickson, Leonard Eugene (1874-1954). Introduction to the theory of numbers. Chicago: University of Chicago Press, 1951, original cloth, dust-jacket, cloth stained [not in T&W]8vo

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The first three works deal with number analysis. A.O. Walther was an important figure in the development of German computer science and was almost single-handedly responsible for making the numerical solution of mathematical problems a respectable area of study in Germany. During World War II, despite wartime shortages, he convinced the authorities to authorize construction of a differential analyzer by the firm of A. Ott. He was instrumental in the founding of the International Federation of Information Processing Societies (IFIP) and served as its first vice-president. "Zur numerischen Integration" was of great influence in the area of numerical solution to mathematical problems. The other ten works focus on number theory. Dedekind was a professor in Göttingen and Zurich and then spent the rest of his career at the University of Braunschweig. He obtained his PhD in mathematics at Göttingen under the tutelage of Gauss. He is famous in number theory as the person who developed the first precise definitions of the real number system. He also established a number of concepts of great importance in modern algebra.