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BARNES, William. A Few Words on the Advantages of a More Common Adoption of The Mathematics as a Branch of Education, or Subject of Study. London: Whittaker and Co. (also Dorchester, Weymouth, Blandford, Wimborne, Poole, Sherborne, Bridport). 1834. Small 8vo: 23 pp. Original printed wrappers, in good condition, contained in later slipcase. First edition.
William Barnes (1801-1886), Dorset poet, philologist, friend of Thomas Hardy and Alfred Tennyson, wrote a number of poems in the Dorset dialect. This work is dedicated to Major-General [Henry] Shrapnel (1761-1842), "the greatest mathematician to whom the author has had the honor of being introduced", but better known for the exploding shells named after him.
CLIFFORD, William Kingdon. Mathematical Papers. Edited by Robert Tucker, with an introduction by H.J. Stephen Smith. London: Macmillan and Co. 1882. Lxx[ii], 658 pp. plus advertisement leaf, folding frontispiece of manuscript, 13 plates; untrimmed; ex-library copy with stamps to endpapers only. Original cloth, minor wear to top and bottom of spine, partly split at top of rear joint. First edition.
Published posthumously. Clifford (1845-1879) moved from Trinity College Cambridge in 1871 to take up the professorship of applied mathematics at University College, London. In 1874 he was elected fellow of the Royal Society for, among other things, his distinction in 'the metaphysics of geometrical and physical science'. The last few years of his life were plagued with ill health but were among the most mathematically productive. In his paper 'On the Space-Theory of Matter' (1870) - included as Paper V in 'Mathematical Papers' - he argued that energy and matter are simply different types of curvature of space, and he presents ideas which were to form a fundamental role in Einstein's general theory of relativity some years later.
CLIFFORD, William Kingdon. The Common Sense of the Exact Sciences. Second edition. London: Kegan Paul, Trench & Co. 1885. xiii, errata slip, 271 pp. plus 44-page publishers catalogue, manuscript notes to page x of Preface. Original decorated red cloth, minor wear to extremities, but overall a good copy.
Vol. LI of The International Scientific Series.
CLIFFORD, William Kingdon. The Common Sense of the Exact Sciences. Edited and with a preface by Karl Pearson, newly edited and with an introduction by James R. Newman, preface by Bertrand Russell. New York: Alfred A. Knopf. 1946. lxvi, 249  pp., diagrams to text. Original cloth gilt in slightly frayed dust jacket.
With original receipt from Heffer & Sons Ltd., Cambridge.
"A classic explanation of modern scientific and mathematical thought" (from the dust jacket).
COMTE, Auguste. Lettres d'Auguste Comte a M. Valat, Professeur de Mathématiques … 1815-1844. Paris: Dunod. July 1870. vii, 350 pp; all edges gilt. Contemporary good-quality dark green morocco gilt by P. Delacour, slightly rubbed, a handsome copy. First edition.
The change in Comte’s personal feelings toward Saint-Simon can best be followed in his correspondence with his friend Valat (1870), which shows how much he was initially stimulated by Saint-Simon and how he later withdrew from the relationship. One difference was revealed by Comte himself in his correspondence with Valat when he asserted that Saint-Simon’s advocacy of political action before the scientific system of positivism had been sufficiently developed was putting the cart before the horse.
COMTE, Auguste. Traité Elémentaire de Géométrie Analytique a deux et a trois dimensions, contenant toutes les théories générales de géeométrie accessibles a l'analyse ordinaire. Paris: Carilian-Goeury & Vor Dalmont, editeurs. Imprimerie de Fain et Thunot. 1843. viii, 598 pp., plus 3 folding tables; some scattered foxing or light browning; all edges gilt. Later good-quality dark green morocco gilt by P. Delacour, slightly rubbed at extremities. First edition.
Comte's only mathematical work.
CORSINI, Eduardo. Institutiones Mathematicae ad usum Scholarum Piarum quibus illustriora Euclidis, Archimedis, Apollonii .... Florence: Bernardi Paperini. 1731. [bound with] Institutiones Philosophicae ac Mathematicae ad usum Scholarum Piarum, Tomus Primus [- Quintus] .... Florence: Bernardi Paperini. 1731-1734. Six volumes bound in five: engraved frontispiece, xvi, 304; lii, 336, 11 folding engraved plates; Tomus Secundus continens Physicam Generalem, viii, 581, 3 folding engraved plates; Tomus Tertius continens libros De Coelo, & Mundo, viii, 464, 3 folding engraved plates; Tomus Quartus continens Tractatum de Anima et Mataphysicam, viii, 608, 2 folding engraved plates; Tomus Quintus continens Ethicam, vel Moralem, viii, 496 pp; title-pages printed in red and black with vignette, woodcut initial letters and headpieces; some damp staining affecting volumes I, II & IV but particularly the first part of volume I. Contemporary vellum, rubbed (vol. I upper cover damp stained), contrasting labels.
Corsini (1702-1765) was Professor of Metaphysics and Morals at the University of Pisa.
GRIFFITH, Guy and OAKESHOTT, Michael. A New Guide to the Derby: How to Pick the Winner. London: Faber and Faber Ltd. . 133 pp. Original blue cloth in slightly browned dust jacket. Rare.
With various press cuttings concerning the Derby of 1947. Originally published in 1936 as 'A Guide to the Classics, or How to Pick the Derby Winner'. Oakeshott's only non-academic work. "Perhaps too it called for some courage to publish in 1936 a book written jointly with a colleague, Guy Griffith, entitled A Guide to the Classics or How to Pick a Derby Winner. Though written with dry urbanity, this was a serious effort to ‘offer a brief and businesslike account of the rational principles upon which we believe a winning selection may be based.’ Fear of raised eyebrows did not deter Oakeshott from agreeing to a second edition of this light-hearted work in 1947." From the obituary by Nevil Johnson.
HATTON, Edward. An Intire System of Arithmetic: or Arithmetic in all its Parts. I Vulgar, II Decimal, III Duodecimal, IV Sexagesimal, V Political, VI Logarithmical, VII Lincal, VII Instrumental, IX Algebraical .... With an Appendix, shewing the Mensuration of more Superficies and Solids, than any other Book wrote purposely on that Subject has exhibited .... London: printed and sold by Mr. Mount and Comp. ... Mr. Strahan and Mr. Simon ..., Mr. Knaplock, Mr. Knapton [etc]. 1721. Small quarto: engraved portrait frontispiece, xxiv (including list of subscribers), 280, [64 pp. tables], 269-379, 16 pp., 3 folding engraved plates, with tables to the text; small circular library stamp to verso of title, occasionally in the margins, foot of final leaf, and verso of plates. Contemporary panelled calf, rebacked. First edition.
Hatton also wrote on tax, interest, trade, and similar areas. Not in Goldsmiths. Historical Accounting Literature, p.223.
HEMMING, G.W. An Elementary Treatise on the Differential and Integral Calculus. Cambridge: Macmillan, Barclay, and Macmillan. 1848. xi[i], errata slip, 173 pp; untrimmed. Original quarter cloth/boards, worn at top and bottom of spine. First edition.
George Wirgman Hemming, a fellow of St. John's College, also wrote on law, trigonometry, income tax, and "billiards mathematically treated".
KÖRNER, Stephan On the Foundations of Mathematics in Experience. [L'Age de la Science, Vol. III, No. 3. No date, 1970]. Offprint: pages 187-200, stapled.
Elements of Mathematical Logic
LUKASIEWICZ, Jan Elementy Logiki Matematycznej. Skrypt autoryzowany opracowal M. Presburger. Z Czesciowej subwencji Senatu Akademickiego Uniw. Warsz. Warsaw: Nakladem Komisji Wydawniczej Kola Matematyczno-Fizycznego Sluchaczow Uniwersytetu. 1929. viii, 200 pp. Original half cloth with marbled boards, rubbed. First edition.
Lukasiewicz (1878-1956), one of the creators and best-known members of the Lvov-Warsaw School - the most important movement in the history of Polish philosophy; he studied philosophy at Lvov under Twardowski. In 1920 he was appointed the head of the department of philosophy at the Faculty of Mathematics and Physical Sciences at Warsaw University which had been opened especially for him.
(NEWTON) ROUSE-BALL, W.W. An Essay on Newton's "Principia". London: Macmillan and Co. 1893. x[ii], 175 pp., plus 8 pp. advertisements. Original red cloth, faded, worn at top and bottom of spine. First edition. From the library of Philip E.B. Jourdain, with his ownership inscription dated August 1901 to front pastedown, and with marginal notes throughout.
Walter William Rouse Ball (1850-1925) was appointed a lecturer in mathematics at Trinity College Cambridge in 1878 and from 1891 became Director of Mathematical Studies; he is probably best known as a historian of mathematics. His "A short account of the history of mathematics", first published in 1888, was reprinted a number of times. He also published histories of university and college societies, including a history of the First Trinity Boat Club. Philip Edward Bertrand Jourdain (1879-1919) worked mainly in mathematical logic; he was a friend of, and inspired by, Russell. Jourdain was assistant editor, and later chief editor, of 'The Monist', and Russell's lectures on logical atomism were published in 'The Monist' in 1918/19, but Jourdain and Russell fell out over payment for the lectures. Jourdain prepared for the press his work "The Philosophy of Mr. B*rtr*nd R*ss*ll" (published in 1918), Russell having given his blessing to the work in manuscript.
PEANO, Giuseppe Residuo in Formulas de Quadratura. [Extrait de Mathesis, 4e série, tome IV. 1914]. Pages 1-6 plus blank leaf, first page a little soiled - inscribed "Salutationes cordiale" in ink to top margin, and with pencilled addition to margin of first line of text. Final (blank) leaf with printed address label of Dr. Prof. Alvin Korselt of Plauen in Vogtland, with stamp, postmarked Turin, 10th February 1914.
Written in 'Latino sine flexione', Peano's international auxiliary language, which he announced in 1903.
RUSSELL, Bertrand. The Principles of Mathematics. Vol. I [all published]. Cambridge: at the University Press. 1903. Large 8vo: xxix[i], 534 pp; front inner joint cracked; untrimmed. Original cloth, lettered in gilt, rubbed with the surface scratched in places, some wear and slightly frayed at top and bottom of spine, but overall a bright copy. First edition. From the library of Brian A. Farrell (1912-2005), Oxford professor of mental philosophy, with his ownership inscription, occasional pencilled underlining and a few manuscript notes, also his name written on top edge of bookblock.
The work that established Russell as a philosopher of the first rank; it contains his first statement of the project of reducing mathematics to logic, and is thus a prototype for the monumental 'Principia Mathematica' (1910-1913) which embodies the full elaboration of the logistic programme.
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