# Mathematics, Computer Science, & Statistics

London: W. Bulmer, 1819. 1st Edition. FIRST EDITION OF THE FULL VOLUME OF the Philosophical Transactions of the Royal Society of London for the Year MDCCCXIX, Part I and II, 1819. Included are many important papers as well as 19 copperplate engravings, many large fold-outs in near fine condition. Following... More

London: Taylor and Francis, 1853. 1st Edition. FIRST EDITION of an important and consequential paper in which John Couch Adams announces new mathematical methods in dealing with the pertubations of the Moon, and in so doing corrects Laplace's famed 1788 memoir. Laplace studied the Moon's mean rate of motion relative... More

Cambridge: Harvard University Press, 1946. 1st Edition. FIRST EDITION of the profusely illustrated "manual for the electromechanical Harvard Mark I, the first programmable calculating machine to actually produce mathematical tables, [and] the first to fulfill the dream of Charles Babbage originally set out in print in 1822" (Norman, From Gutenberg... More

London: Taylor and Francis, 1856. 1st Edition. FIRST EDITION IN ORIGINAL WRAPS OF RARE AND PARTICULARLY CURIOUS PAPER OFFERING DETAILED IMPROVEMENTS TO SCHEUTZ'S FULLY FUNCTIONAL MODEL OF BABBAGE'S DIFFERENCE ENGINE by one of Babbage’s “most vigorous detractors” (Computer History Website). The credit of inventing the first computing machines goes to... More

Amdahl, Gene; Blaauw, Gerrit; and Brooks, Fred

New York: IBM, 1964. 1st Edition. APRIL 1964 FIRST EDITION OF THE FIRST SEPARATION OF ARCHITECTURE FROM DESIGN, THE FIRST DESCRIPTION OF IBM'S FLAGSHIP BUSINESS COMPUTER, IBM SYSTEM/360 (S/360) BY ITS ARCHITECT. IBM System/36- "was the first family of computers designed to cover the complete range of applications, from small... More

1883. 1st Edition. Second, deluxe edition of “Ampère’s greatest work,” Theorie Mathematique… or Memoir on the Mathematical Theory of Electrodynamic Phenomena, Uniquely Deduced from Experience (DSB). Widely referred to as “the Principia of Electrodynamics,” with this work Ampère founded the science of electrodynamics, now known as electromagnetism. “Volta’s invention of... More

London: W. Bulmer & Co. 1819. 1st Edition. FIRST EDITION OF THE FULL VOLUME OF the Philosophical Transactions of the Royal Society of London for the Year MDCCCXIX, Part I and II, 1819. Included are many important papers as well as 19 copperplate engravings, many large fold-outs in near fine... More

Babbage, Charles WITH Davy, Humphrey WITH Brewster, David

1st Edition. FIRST EDITIONS of Charles Babbage's first papers as well as his most important contribution to mathematics, the calculus of functions. "The calculus of functions is undoubtedly Babbage's major mathematical invention. The subject... was taken up by [him] almost from its origin and developed by a series of ingenious... More

London: Macmillan Limited, 1965. 1st Edition. FIRST EDITION IN ORIGINAL WRAPS OF A “CLASSIC” PAPER ON THE PROBLEM OF CAPITAL BUDGETING, THE 1965 BAUMOL-QUANDT MODEL. Project selection is a major problem in managerial decision making. Capital budgeting problems determine which project to fund given constraints on available capital. This much... More

Lancaster: American Physical Society, 1952. 1st Edition. FIRST EDITION of David Bohm's deterministic 'Hidden Variables Approach to Quantum Theory.' Bohm's 'Hidden Variables' interpretation is the basis of the De Broglie-Bohm Theory (or Bohmian Mechanics) and extends the Pilot Wave Theory to cover multiple particles. Bohm published an account of quantum... More

FIRST EDITION of George Boole’s first paper on probability, marking his earliest published work on a subject he would continue to develop until in 1854 he published his highly influential An Investigation of The Laws of Thought on which are founded the Mathematical Theories of Logic and Probabilities. Laws of... More

FIRST EDITION of George Boole’s first paper on probability, marking his earliest published work on a subject he would continue to develop until in 1854 he published his highly influential An Investigation of The Laws of Thought on which are founded the Mathematical Theories of Logic and Probabilities. Laws of... More

Baltimore: Waverley Press, 1953. 1st Edition. FIRST ENGLISH EDITIONS IN ORIGINAL PAPER WRAPS of four papers on mathematics and game theory published by Emile Borel between 1921 and 1927, papers in which Borel became "the first to define games of strategy" (Science World Website).In these papers, "Borel gave the first... More

London: Macmillan and Co. 1909. 1st Edition. BOUND FIRST EDITION OF RARE DESCRIPTION OF LUDGATE’S ANALYTICAL ENGINE; FULL VOLUME WITH ORIGINAL WRAPS BOUND IN. In 1909, working entirely on his own and only as a ‘hobbyist’, completely unaware of Charles Babbage’s designs, Dublin accountant P. E. Ludgate (1883-1922) designed an... More

Cartan, Elie; Zeeman, P.; Becquerel, Henri

Paris: Gauthier-Villars, 1897. 1st Edition. FIRST EDITION OF A PAPER BY THE INFLUENTIAL MATHEMATICIAN, ELIE CARTAN; A PAPER BY ZEEMAN OFFERING THE FIRST GLIMPSE AT THE ELECTRON AND 3 PAPERS BY BECQUEREL ON THE NEWLY DISCOVERED RADIOACTIVITY. In 1897, Becquerel’s research led him to the newly discovered X-rays and to... More

Cambridge: Royal Society, 1859. 1st Edition. First edition of the seminal paper (extracted from the 1859 Philosophical Transactions) in which Arthur Cayley laid "the foundations of non-euclidean geometry" (Pierpont, "Cayley’s Definition of Non-Euclidean Geometry," American Journal of Mathematics, Vol. 53, No. 1, January 1931, 117). In order to unite ‘Metrical... More

Paris: Bachelier Successeur Courcier, 1822. 1st Edition. SCARCE 1822 FIRST EDITION of the work in which the mathematician Charles Dupin first introduced a nonspherical surface with the property that all its lines of curvature were circular. Dupin called this surface a 'cyclide.' Recently, cyclides have been revived for use as... More

Church, Alonzo; Turing, Alan; Post, Emil

1937. 1st Edition. FIRST EDITION OF A COLLECTION OF LANDMARK PAPERS, here housed together in Volumes 1 and 2 of The Journal of Symbolic Logic. Collectively, the volumes contain some of the most important contributions to the fields of mathematical and computational mathematics ever written. The first and second papers... More

Cochran, W., and Crick, F. H. C.

London: Macmillan, 1952. 1st Edition. FIRST EDITION IN ORIGINAL WRAPS of Francis Crick's and William Cochran's letter to the editors of Nature in which they previewed the important calculations that enabled them to predict the X-ray diffraction pattern produced by a crystal with a helical shape whose atoms are arranged... More

Easton, PA: National Academy of Sciences. 1st Edition. TWO MILESTONE PAPERS ON THE FOUNDATIONS OF MATHEMATICS. Two volume (in original wraps) first edition of Paul Cohen’s seminal contribution to set theory wherein he established the independence of the axiom of choice and the independence of the continuum hypothesis. Cohen’s efforts... More

1st Edition. FIRST EDITIONS IN ORIGINAL PAPER WRAPS OF BOTH PARTS I & II OF ALLAN CORMACK’S SEMINAL INVENTION OF A MATHEMATICAL TECHNIQUE FOR COMPUTER-ASSISTED X-RAY TOMOGRAPHY (CAT Scans) – TOGETHER, THESE TWO PAPERS DOCUMENT THE INVENTION OF THE CAT SCAN. Cormack’s work produced the most revolutionary development in the... More

Cotes, Roger WITH Halley, Edmund [Halleio] WITH Cotes, Roger WITH Newton, Isaac; Desaguliers, J. T. WITH Taylor, Brook

London: Royal Society. 1st Edition. FIRST EDITION of Roger Cotes' "Logometria Auctore Rogero Cotes," his only paper and the one in which he provides the first proof of the relation between exponential function to trigonometric functions -- the identity now known as Euler's formula. The Phil Trans is the oldest... More

Lancaster: American Physical Society, 1959. 1st Edition. First edition in original paper wraps. In this paper, Dirac began to apply his methods to the gravitational field. “As a result of simplifications which he introduced [here], it became easy to show that the fourth dynamical constraint is consistent with the others... More

New Haven: Yale University, 1961. 1st Edition. FIRST EDITION IN ORIGINAL WRAPS OF AN INFLUENTIAL PAPER ON THE THEORY OF VOTING, THE DUMMETT-FARQUHARSON THEORY. This paper “worked on the theoretical aspects of aggregation of individual preferences and on the strategic aspects of voting theory”, provided an extended version of Duncan... More

Leipzig: Barth, 1904. 1st Edition. FIRST EDITION OF AN IMPORTANT PAPER IN WHICH EINSTEIN DEMONSTRATES THE PIVOTAL ROLE OF STATISTICAL MECHANICS IN HIS EARLY WORK. In this paper, Einstein generalized and extended the foundations of statistical physics. Pais notes that with this work, Einstein had "taken a bold new step..... More