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PEANO, GUISEPPE.

Applicazioni geometriche del calcolo infinitesimale. + Calcolo Geometrico secondo l'Ausdehnungslehre di H. Grassmann. Preceduto dalle Operazioni della logica deduttiva. - [THE BEGINNING OF PEANO'S LOGIC AND THE "GEOMETRICAL CALCULUS"]

Herman H. J. Lynge & Søn A/S
lyn39042
Torino, Bocca, 1887 + 1888. Royal 8vo. Bound uncut w. the original wrappers of both works in one very nice a bit later (ab. 1920) red hcalf w. five raied bands to back. Single gilt lines to raised bands and gilt title on spine. A bit of soiling to wrappers, which have minor lacks to the inner hinges, where they are mounted onto hinge-strips. Front-wrappers w. stamp from "Fratelli Bocca Editori". A bit of brownspotting, mainly to first work. A very fine and attractive copy of these two works, very finely bound together. XII, 334, (2) + X, (2), 170, (2) pp.

Two rare and important first editions by the famous Italian mathematician, logical philosopher, pioneer of symbolic logic, and a founder of mathematical logic and set theory, Giuseppe Peano, uniting his first publication in logic with his introduction of the basic elements of geometric calculus. The present "Calcolo geometrico secondo l'Ausdehningslehre de H. Grassmann" contains a twenty-page long preliminary section on the operations of deductive logic, which constitutes Peano' s very first publication on the subject for which he is most famous, namely logic. This work appeared the year before his seminal "Arithmetices Principia...", in which he further improves his logical symbolism, which is introduced in the preliminary section of the present work. "This section, which has almost no connection with the rest of the text, is a synthesis of, and improvement on, some of the work of Boole, Schröder, Peirce, and McColl." (D.S.B. X:442).In the other present work, "Applicazioni geometriche del calcolo infinitesimale", Peano introduces the basic elements of geometric calculus and gives new definitions for the length of an arc and for the area of a curved surface. This important work (in which not only his geometrical calculus is introduced, but in which he also presented several new geometrical discoveries) is based on his lectures on infinitesimal calculus and its application to geometry from 1885. "The treatise "Applicazioni geometriche del calcolo infinitesimal" (1887) was based on a course Peano began teaching at the University of Turin in 1885 and contains the beginnings of his "geometrical calculus" (here still influenced by Bellavitis' method of equipolences), new forms of remainders in quadrature formulas, new definitions of length of an arc of a curve and of area of a surface, the notion of a figure tangent to a curve, a determination of the error term in Simpson's formula, and the notion of the limit of a variable figure. There is also a discussion of the measure of a point set, of additive functions of sets, and of integration applied to sets. Peano here generalized the notion of measure that he had introduced in 1883." (D.S.B. X:443). Peano (1858 -1932) studied mathematics at the University of Turin, where he was employed just after graduating (1880), and where he stayed almost all of his life, devoting this to mathematics. After having graduated with honours, he was employed to assist first Enrico D'Ovidio, and then the renowned Angelo Genocchi, who possessed the chair of Infinitesimal calculus. In 1890 Peano became extraordinary professor, and in 1895 ordinary professor, of infinitesimal calculus at the Unversity of Turin. Cellerino (Guiseppe Peano e la sua scuola. Catalogo monografico): Nr. 2 + 3. 2: "Il più alto raggiunto dai matematici del XIX secolo nell'elaborazione della teoria delle funzioni di insiemi, è il V capitolo del libro di Peano..." F.A. Medvedev."
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BERGIUS, PETER JONAS
Herman H. J. Lynge & Søn A/S
lyn62692
(Stockholm, 1777). 8vo. As extracted from "Kungl. Svenska vetenskapsakademiens handlingar", uncut unopened. Fine and clean. Pp. 304-309.
Medicinische und philosophische Schrifften von…
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ALBERTI, MICHAEL.
Herman H. J. Lynge & Søn A/S
lyn62695
Halle im Magdeburgischen, Hendel, 1721. 8vo. In contemporary full calf with four raise bands and richly gilt spine. Traces from old paper-label to upper part of spine. Leather on spine cracked, spine-ends slightly chipped. Internally nice and clean. (14), 620, (28) pp. First collected edition of Alberti’s essays. Alberti (1682–1757), professor of medicine and philosophy at Halle and later rector of the university, was a leading disciple of Georg Ernst Stahl who considered the soul as having control on the body. Therapies involved dealing with the internal senses and feelings.
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O Capital. (i.e. Portuguese:
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MARX, CARLOS [KARL] (+) GABRIELLE DEVILLE (+) [Translator:] ALBANO DE MORAES.
Herman H. J. Lynge & Søn A/S
lyn62679
Lisboa, De Francisco Luiz Goncalves, 1912. 8vo. In the original red printed cloth-binding with black and white lettering. Spine with loss of the white lettering. Paper-label pasted on to lower inner margin of front board. Very light wear to extremities, Internally very fine and clean. 240 pp. The exceedingly scarce first Portuguese edition of the most important abridged version of Marx's Capital ever to have appeared, published fifty-six years before the first full Portuguese (but published in Brazil) translation and whole sixy-two years before the first full translation published in Portugal. Curiously, two translations of the present work were made 1912 but the present translation seems to have priority (see Bastien, "Readings and Translations of Karl Marx in Portugal"). After the 1933 rise of Salazar's dictatorial Estado Novo regime, suppression of the relatively newly founded Communist party grew. Members were arrested, tortured, and executed and many were sent to the Tarrafal concentration camp in the Cape Verde Islands. Communist literature suffered an equally repressive fate, hence the rarity of the present work. Marxism and especially Marxist writing caught on comparatively late in Portugal: "As for the Socialist Party - supposed to be the main expression of Marxism -, it revealed itself unable to stimulate effective theoretical and doctrinal efforts. Its existence was an example of ambiguity and inconsequence. Its political programme went on mixing Marxian elements, associationist tradition and positivist thinking. Its strategy balanced continuously between an alliance with republican politicians and the maintenance of political autonomy. Its tatics balanced between electoral abstencionism and an involvement in election processes, that never led it to a relevant position in parliament. Even its international relations showed a lasting ambiguity: it had been created according to the instructions of the Marxist majority at the Hague Congress, when most of its members tended to support political abstencionism. When the formation of the Second lnternacional was taking place in Paris in 1889 Portuguese socialists tried to join the Marxist congress, after being present at the possibilist congress. In 1920 they decided to join the Third lnternacional (what was not accomplished), at the same time that an internal reformist turn was taking place." (Bastien, "Readings and Translations of Karl Marx in Portugal"). "The epitome, here translated, was published in Paris, in 1883, by Gabriel Deville, possibly the most brilliant writer among the French Marxians. It is the most successful attempt yet made to popularize Marx's scientific economics. It is by no means free from difficulties, for the subject is essentially a complex and difficult subject, but there are no difficulties that reasonable attention and patience will not enable the average reader to overcome. There is no attempt at originality. The very words in most cases are Marx's own words, and Capital is followed so closely that the first twenty-five chapters correspond in subject and treatment with the first twenty-five chapters of Capital. Chapter XXVI corresponds in the main with Chapter XXVI of Capital, but also contains portions of chapter XXX. The last three chapters-XXVII, XXVIII, and XXIX-correspond to the last three chapters-XXXI, XXXII, and XXXIII-of Capital." (ROBERT RIVES LA MONTE, Intruductory Note to the 1899 English translation). Capital de Marx also had a Portuguese edition at this time, or better, two different editions, both in 1912, but only in translation of the survey of Book I published in France by Gabriel Deville in 1883 (Marx, 1912a and Marx, 1912b). This version omitted material dealt with in at least four chapters of the original text and was not particularly appreciated by Engels. It was a simplified text, aimed at supporting the training of socialist militants and that made it possible for them to have access, indirect, to the work of Marx. The other summaries and anthologies of Capital, which, with a purpose similar to that of Deville, circulated in Europe during this period or ignored in Portugal, as was the case with Carlo Cafiero, or were only occasionally mentioned, as was the case with Paul Lafargue and Karl Kautsky, in its French versions. OCLC list two copies, both in the US.
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His Pokhodzhennia vydiv cherez pryrodnyi dobir,…
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DARWIN, CHARLES.
Herman H. J. Lynge & Søn A/S
lyn62681
(Kharkiv), Derzhavne medychne vyd-vo (State Medical Publishing House), 1936. 8vo. In publisher's original grey cloth binding with black lettering to spine with Darwin's portrait embossed on front board. Wear to extremities, corner bumped and light spoling to back board. Inner hinges split and first 3 leaves partly detached. Last 20 ff. slighly creased due to dampstain, otherwise internally a nice and clean copy. 674 pp. + frontispiece, portrait of Darwin and 1 plate with genealogical tree. The exceedingly rare first Ukranian translation of Darwin's landmark 'Origin of Species'. OCLC only list two copies (Library of Congress and The Huntington Library, USA) Freeman F797.
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Om Krigen med England. Med Tanker om samme…
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BOYE, JOHANNES.
Herman H. J. Lynge & Søn A/S
lyn62687
Fridericia, S. Elmenhoff, 1809. 8vo. In nice recent marbled paper covered boards with leather title-label with gilt lettering to spine. Ex-libris (Bent W. Dahlstrøm) to verso of front board. A nice and clean copy. 40 pp. Biblioteca Danica III, 572.
Regras methódicas para se aprender a escreuer o…
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VENTURA DA SILVA, JOAQUIM JOSE.
Herman H. J. Lynge & Søn A/S
lyn62100
Lisboa, Officina de Simão Thaddeo Ferreira, 1803. Folio-oblong (365 x 255 mm). In contemporary half calf. Wear to extremies, upper part of spine with loss of leather. Ex-libris pasted on to pasted down front end-paper. With, primarily marginal, brownspotting throughout. Dampstain to inner margin and upper outer margin of last 10 ff. 32 ff. Rare first edition of the most celebrated Portuguese treatise on calligraphy. Joaquim José Ventura da Silva (1777–1849), regarded as one of Portugal’s finest calligraphers and teachers of writing, composed this methodological guide to handwriting in which he combines a historical survey of scripts used in Portugal with practical instruction for teaching and learning penmanship.Ventura da Silva is reffered to by Innocencio (Diccionario Bibliographico) as "one of the best Portuguese Calligraphers". A second edition was published in 1819, a third in 1841, and a facsimile was published in Porto in 1899.
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