Cambridge:: Macmillan, 1859-65., 1859. 2 volumes. 8vo. xv, [1 blank], 494; xi, , 235, [1 blank], 53, [ads 2] pp. Vol. 1 folding plate. I: Original double blind-ruled pale brown cloth, gilt-stamped spines; spine ends frayed, inner hinges cracked; II [Supple.]: Original double-ruled green cloth, gilt-stamped spines; 1 signature starting, heavily faded with spine ends worn, joints splitting. INSCRIBED "FROM THE AUTHOR" at Vol. 1 half-title. Vol. 1 errata slip and ownership signature of J. Bluason [or similar to Zhasor?], 1939. Vol. 2 title-page rubber stamp of Dr. George F. McEwin. Good. ["FROM THE AUTHOR"] FIRST EDITION of Boole's insightful works on differential equations and symbolic logic, with the rare accompanying supplementary volume. "George Boole is today best remembered for his contributions to logic—as a man who, by breaking with the traditional, syllogistic methodology expounded in the logic textbooks, initiated the modern, mathematical study of logic" (Ewald, p. 442). "There is an aspect of Boole's work that is not closely related to his treatises in logic or the theory of sets but which is familiar to every student of differential equations. This is the algorithm of differential operators, which he introduced to facilitate the treatment of linear differential equations. If, for example, we wish to solve the differential equation ay + by + cy = 0, the equation is written in the notation (aD2 + bD + c)y = 0. Then, regarding D as an unknown quantity rather than an operator, we solve the algebraic quadratic equation aD2 + bD + c = 0. . . . There are many other situations in which Boole, in his Treatise on Differential Equations of 1859, pointed out parallels between the properties of the differential operator (and its inverse) and the rules of algebra. British mathematicians in the second half of the nineteenth century were thus again becoming leaders in algorithmic analysis, a field in which, fifty years earlier, they had been badly deficient" (Hook & Norman 225). "Boole stands somewhat apart from his three algebraic predecessors. Unlike them, he was not educated at Cambridge. . . apart from a few years of elementary school, George Boole was entirely self-educated" (Ewald, p. 442). "Boole's scientific writings consist of some fifty papers, two textbooks, and two volumes dealing with mathematical logic. The two textbooks [including the present one] remained in use in the United Kingdom until the end of the century. They contain much of Boole's original work, reproducing and extending material published in his research papers" (DSB, II, p. 294). PROVENANCE: Dr. George F. McEwin (1882-1972) pioneered "phases of physical oceanography which had attracted worldwide recognition." Born in Manchester, Iowa, studied at Iowa State College in Ames, and then attended Stanford University, graduating with his baccalaureate degree and Phi Beta Kappa honors in 1908. He then pursued his Ph.D. in physics and mathematics also at Stanford. "McEwen was a pioneer in the U.S. in the field of dynamical and physical oceanography. Although his later studies often involved development and application of theory, his first paper (1910) was a more descriptive preliminary report on hydrographic work carried on by the then Marine Biological Station of San Diego. In this paper he noted the occurrence of unseasonably cold water in a narrow belt along the California coast and cited an explanation based on upwelling of deeper water in replacement of surface waters carried offshore by the wind. In subsequent studies (1912, 1929, 1934) he further developed the explanation for the phenomenon using Ekman's theory of wind-driven currents, and made several estimates of the rate of upward movement of the nutrient-rich water that is so important in increasing biological productivity in coastal areas." – In Memoriam July 1975 – Robert S. Arthur Denis L. Fox Carl L. Hubbs Russell W. Raitt, in: Calisphere. References: Ewald, William Bragg. From Kant to Hilbert, Volume 1: A Source Book in the Foundations of Mathematics. Oxford: Oxford University Press, 2005; Hook, Diana H. & Jeremy M. Norman. Origins of Cyberspace: A Library on the History of Computing and Computer-Related Telecommunications. Novato, CA: Norman Publishing, 2002. (Inventory #: S11540)
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