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Generalizzazione della formola di Simpson.
Torino, Fratelli Bocca, 1891-1892. Royal8vo. Uncut, unopened in the original blue printed wrappers. In ""Atti della R. Accademia delle Scienze di Torino"", Vol. XXVII, Disp. 10a, 1891-92. Small paper label pasted on to lower left part of front wrapper. A very fine and clean copy. Pp. 608-612. [Entire issue: Pp. 597-655].
First appearance of Peano's first work on the quadrature formulas.The famous Italian mathematician, logical philosopher, pioneer of symbolic logic, and a founder of mathematical logic and set theory, Giuseppe 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. hIS ""Principles of Arithmetics"" (the present work) constitutes his groundbreaking main work.
La Geometria basata sulle idee di punto e distanza.
Torino, Carlo Clausen, 1903. Royal8vo. Uncut, unopened in the original blue printed wrappers. In ""Atti della R. Accademia delle Scienze di Torino"", Vol. XXXVIII, Disp. 1a e 2a, 1902-1903. Small paper label pasted on to lower left part of front wrapper and stamp to top of front wrapper and title page. Wrappers with nicks, miscolouring and traces after having been bended. Title page with a browning. Internally fine. Pp. 6-10. [Entire issue: 53 pp].
First appearance of Peano's paper on his theory of geometry based on the ideas of point and distance.
La numerazione binaria applicata alla stenografia.
Torino, Carlo Clausen, 1898. Royal8vo. Uncut, unopened in the original blue printed wrappers. In ""Atti della R. Accademia delle Scienze di Torino"", Vol. XXXIV, Disp. 1a, 1894-95. Small paper label pasted on to lower left part of front wrapper. Wrappers with nicks and lacking lower right corner of front wrapper. Internally with occassional brown spots. Fine. Pp. 20-41. [Entire issue: 78 pp].
First appearance of Peano's important paper in which he presented his ""shorthand machine"" which worked on the basis of the binary system. Peano was to a very large extend inspired by Leibnitz on this subject.
Operazioni sulle grandezze.
Torino, Fratelli Bocca, 1922. Royal8vo. Uncut, unopened in the original blue printed wrappers. In ""Atti della R. Accademia delle Scienze di Torino"", Vol. LVII, Disp. 8a e 9a, 1921-1922. Small paper label pasted on to lower left part of front wrapper. A few nicks to front wrapper. A very fine and clean copy. Pp. 310-331. [Entire issue: Pp. 305-347].
First appearance of Peano's important paper operations of variables. The famous Italian mathematician, logical philosopher, pioneer of symbolic logic, and a founder of mathematical logic and set theory, Giuseppe 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. hIS ""Principles of Arithmetics"" (the present work) constitutes his groundbreaking main work.
Studii di logica matematica. (Studies in Mathematical Logic).
Torino, Carlo Clausen, 1897. In: Atti della R. Accademia delle Scienze di Torino, Vol. XXXII, Disp. 11a, 1896-97, pp. 565-83. Royal8vo. Original printed wrappers. Some small tears. Wrappers loosening. Paper label pasted to front wrapper. Internally fine and clean. Uncut and unopened.
First edition.'In this work he is concerned with reducing the number of undefined terms to a minimum ... It was in this article that he introduced the symbol (left-facing E) for existence ... This paper also contains remarks on Frege's mathematical logic ...' (Kennedy, Life and works of Giuseppe Peano, p.68-69.) Frege and Peano worked independently on many of the same subjects in mathematical logic using each their own symbolism. Frege used a cumbrous two-dimensional system. It was Peano's notation which survived and was used in the 'Principia Mathematica'.Kennedy, No. 91.
Sulla formola di Taylor.
Torino, Carlo Clausen, 1891-1892. Royal8vo. Uncut, unopened in the original blue printed wrappers. In ""Atti della R. Accademia delle Scienze di Torino"", Vol. XXVII, Disp. 1a, 1891-92. Small paper label pasted on to lower left part of front wrapper. A very fine and clean copy. Pp. 40-46. [Entire issue: 154 pp].
First appearance of Peano's paper on the conditions for expressing a function of several variables with Taylor’s formula.
Sur une courbe, qui remplit toute une aire plane. - [SPACE-FILLING CURVE - ANTICIPATING THE HILBERT CURVE]
Leipzig, B. G. Teubner, 1890. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 36., 1890. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Very fine and clean. Pp. 157160. [Entire volume: IV, 602 pp.].
First printing of Peano's seminal paper in which he for the very first time discovered a space-filling curve in a 2-dimensional plane, it is often referred to as Peano curves. Peano's ground-breaking paper contained no illustrations of his construction, which is defined in terms of ternary expansions and a mirroring operator. But the graphical construction was perfectly clear to him-he made an ornamental tiling showing a picture of the curve in his home in Turin. Peano's paper also ends by observing that the technique can be obviously extended to other odd bases besides base 3. His choice to avoid any appeal to graphical visualization was no doubt motivated by a desire for a well-founded, completely rigorous proof owing nothing to pictures. At that time (the beginning of the foundation of general topology), graphical arguments were still included in proofs, yet were becoming a hindrance to understanding often counter-intuitive results.Peano' purpose was to construct a continuous mapping from the unit interval onto the unit square. Peano was inspired by Georg Cantor's earlier counterintuitive result that the infinite number of points in a unit interval is the same cardinality as the infinite number of points in any finite-dimensional manifold, such as the unit square. The problem Peano solved was whether such a mapping could be continuous" i.e., a curve that fills a space.
Applicazioni geometriche del calcolo infinitesimale. - [THE ""GEOMETRICAL CALCULUS""]
Torino, Bocca, 1887. Large 8vo. Cont. half vellum binding with gilt leather title-label to spine. Old library-mark rather crudely removed from back. Inner front hinge a bit weak. A bit of brownspotting. Library-stamp to title-page. XII, 334, (2) pp.
The rare first edition of the work in which 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.The famous Italian mathematician, logical philosopher, pioneer of symbolic logic, and a founder of mathematical logic and set theory, Giuseppe 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 his life 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. His important work ""Geometrical Applications of Infinitesimal Calculus"" is based on Peano's lectures on infinitesimal calculus and its application to geometry from 1885. In the important work he introduced his geometrical calculus and presented several new geometrical discoveries.""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).
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""]
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.""
The Application of Statistical Methods to Industrial Standardisation and Quality Control. British Standard 600:1935.
London, British Standards Institution, 1935. 8vo. Original full cloth. 161 pp. including folding diagrams. Fresh copy.
First edition.
Biometrika Tables for Statisticians. 2 vols.
Cambridge, University Press, 1954-72. 4to. 2 orig. full cloth. XIV,238XVIII,385 pp.
First edition.
'Student'. A statistical Biography of William Sealy Gosset. Based on writings by E.S. Pearson. Edited and augmented by R.L. Plackett with the asistance of G.A. Barnard.
Oxford, Clarendon Press, 1990. Orig. full cloth with dustjacket. Portrait. VIII,142 pp. A few pencil underlinings.
First edition.
Early Statistical Papers.
Cambridge, University Press, 1948. 4to. Orig. full cloth, gilt. VIII,557 pp., 1 plate.
First edition.
Tables of the incomplete beta-function.
Cambridge, Biometrika Trustees, 1956, in 4° relié pleine percaline de l'éditeur, LIX-494 pages.
La première édition est de 1934. PHOTOS SUR DEMANDE. ...................... Photos sur demande ..........................
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Tables of the incomplete F-Functions computed by the staff of the departement of applied statistics, university of London University Collège.
Cambridge, Biometrica Trustees, 1965, in 4° relié pleine percaline de léditeur, XXXI-164 pages.
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"PEARSON, KARL AND ALICE LEE. - COINING THE CONCEPTS 'MULTIPLE CORRELATION"" AND 'PARTIAL CORRELATION'.
Reference : 44863
(1897)
On the Distribution of Frequency (Varation and Correlation) of the Barometric Heigh at Divers Stations. Received June 15, - Read June 17, 1897.
(London, Harrison and Sons, 1897). 4to. No wrappers as extracted from ""Philosophical Transactions"" Year 1897, Volume 190 - Series A. - Pp. 423-469 and 9 plates. 1 textillustr.
First appearance of the statistical paper in which the authors introduced the conceptS of 'Multiple Correlation' and 'Partial Correlation'. ""Pearson did not pursue the theory of multiple and partial correlation beyond the point to which he had carried it in his basic memoir on correlation (1896). The general theory of multiple and partial correlation and regression was developed by his mathematical assistant, G. Udny Yule, in two papers published in 1897. Yule was the first to give mathematical expressions for what are now called partial correlation coefficients, whcih he termed ""net correlation coefficients."" What Pearson had called coefficients of double regression, Yule renamed net regressions"" they are now called partial regression coefficients. The expressions ""multiple correlation"" and ""partial correlation"" stem from the paper written Alice Lee and read to the Royal Society in 1897.""(DSB).
"PEARSON, KARL. - ESTABLISHING MODERN MATHEMATICAL STATISTICS AND BIOMETRICS.
Reference : 42461
(1894)
Contributions to the Mathematical Theory of Evolution. (I-) VI. (I. Contributions to...Received October 18, - Read November 18, 1893. - II. Skew Variation in Homogenous Material. Received December 19, 1894 - Read January 24, 1895. - III. Regression, H...
(London, Harrison and Sons, 1894, 1895, 1897, 1898, 1899 a. 1899. 4to. No wrappers as extracted from ""Philosophical Transactions"", Vol. 185 - Series A, pp. 71-110, textfigs. a. 5 plates. - Vol. 186 - Series A, pp. 343-414 a. 10 plates. - Vol. 187 - Series A, pp. 253-318 - Vol. 191 - Series A, pp. 229-311 - Vol. 192-Series A, pp. 169-244 a. 2 plates. - Vol. 192, Series A, pp. 257-330. All clean and fine.
First appearance of the founding papers of modern mathematical statistics, out of which grew Pearson's creation of Biometrics.""Founder of biometrics, Karl Pearson was one of the principal architects of the modern mathematical statistics. He was a polymath whose interests ranges from astronomy, mechanics, meteorology and physics, to biological sciences in particular, including...eugenics, evolotionary biology,heredity......Largly owing to his interests in evolutionary biology, Person created, almost single-handedly, the modern theory of statistics in his Biometric School at University College London.... In his creation of biometrics, out of which the discipline of mathematical statistics had develoiped by the end of the nineteenth century, Person introduced a new vernacular for statistics (including such termss as the standard deviation, mode, homoscedasticity, heteroscedasticity, kurtosis and the producct-moment correlation coefficient."" (Heyde in Statisticians of the Centuries).In the first paper offered here Person introduced the method of moments as a mean curve fitting assymetrical distributions (""point-binominals"") and he applies the theory to crabs and prawns. This is a general method for determining the values of the parameters of a frequency distribution.In the second paper offered here, Pearson develpoed the general formula to use for subsets of six types of frequency curves, now known as ""Pearson Type Curves"".In his seminal paper ""Regressin, Heredity and Panmixia"", the third papers offered here, Pearson introduced matrix algebra into statistical theory and also introducing 'eta' as a measure for curvilinear relationship, the standard error of an estimate, multiple regression and multiple and partial correlation, and devises the coefficient of variation as a measure of the ratio of a standard deviation to the corresponding mean expressed as a percentage.In the fourth paper he deals with the theory of probable erros and of correlations of errors...In the fifth paper he deals with the theory as involving multiple correlations...stature in biology is shown to be best reconstructed from measurements of long bones.The last paper offered deals with a variety of biological correlations, inheritance of characters etc. etc.G.M. Morant: A Bibliography ofthe Statistical and other writings of Karl Pearson Nos 2, 4, 6, 16, 17 and 20. - Eiasenhart in DSB, pp. 449-453.
"PEARSON, KARL. - INTRODUCING THE ""CHI-SQUARED GOODNESS-OF-FIT TEST""
Reference : 47148
(1900)
On the Criterion that a given System of Deviations from the Probable in the Case of a Correlated System of Variables is such that it can be reasonably supposed to have arisen from Random Sampling.
London, Taylor and Francis, 1900. Contemp. hcalf, spine gone and covers loose. In: ""The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science"", Vol. 50, Fifth Series. VI,(2),624 pp. a. 5 plates. (Entire volume offered). Pearson's paper: pp. 157-175. A stippled stamp on titlepage. Internally clean and fine.
In this fundamental paper in statistics, Pearson introduced his chi-squared test, the statistical procedure whose results are evaluated by reference to the chi-squared distribution, or the formula yielding a measure of how well a set of observations fits a theoretical hypothesis, the test of goodness of fit. A founding seminal paper in statistical testing theory.""Pearson’s many contributions to statistical theory and practice, many contributions to statistical theory and practice, this X2 text for goodness of fit is certainly one of his greatest"" and in its original and extended forms it has remained one of the most useful of all statistical tests."" (DSB).Parkinson ""Breakthroughs"" 1900 M.
EXO VUIBERT EN POCHE - MATHS : CLASSE DE 2e.
VUIBERT. 1984. In-12. Broché. Etat d'usage, Couv. convenable, Dos satisfaisant, Intérieur acceptable. 220 pages illustrées de quelques figures dans le texte - Quelques annotations sur la page de garde.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
CHEMIN VERS L'ALGEBRE / TOME 1 - EXERCICES AVEC SOLUTIONS POUR LES CLASSES PREPARATOIRES ET LE 1er CYCLE UNIVERSITAIRE.
VUIBERT. 1986. In-4. Broché. Etat d'usage, Couv. convenable, Dos satisfaisant, Intérieur frais. 246 pages - Quelques soulignements dans le texte.. . . . Classification Dewey : 510-Mathématiques
Classification Dewey : 510-Mathématiques
Exercices et problèmes des mathématiques supérieures (2 tomes). deuxième édition révisée et complétée
Éditions Mir 1950 2 volumes. In-8 reliure éditeur sous jaquette .456p + 495p. Jaquettes défraîchies, intérieurs frais. Jaquettes en état moyen. Bon état d’occasion.
Traduit du russe Bon état d’occasion
Exercices de mécanique du point
Université catholique de Louvain 1979 in8. 1979. Broché.
Bon Etat de conservation intérieur propre
A Quincuncial Projection of the Sphere + On the Ghosts in Rutherfurd's Diffraction-Spectra. [In: American Journal of Mathematics. Volume II. Number 4.]. - [THE PEIRCE QUINCUNCIAL PROJECTION + ""GHOSTS""]
Baltimore, John Murphy & Co., 1879. 4to, entire issue present (Vol. II, no. 4). With the original printed wrappers. Uncut. Wrappers loose and with tears and loss to extremities. Backtrip gone. Stitching a bit loose. Internally nice and clean. First paper: A Quincuncial Projection of the Sphere pp. (394)-396 + 1 folded table. Second paper: On the Ghosts in Rutherfurd's Diffraction-Spectra pp. (330)-347. [Entire issue: pp. (293)-404 + IV, (2) pp]
Scarce first printings of these seminal papers, the first of which introduces Peirce's quincunical projection, the second of which documents his discovery of hitherto unknown diffraction phenomena called ""ghosts"".The Peirce quincuncial projection (published here for the first time) is a conformal map projection that presents the sphere as a square, which allowed for the displaying of the entire sphere with most areas being recognizable . Peirce called his projection quincuncial, after the arrangement of five items in a quincunx. ""For meteorological, magnetological and other purposes, it is convenient to have a projection of the sphere which shall show the connections of all parts of the surface."" Peirce himself wrote. (American Journal of Mathematics. Volume II. Number 4, 394 pp.)In ""On the Ghosts in Rutherfurd's Diffraction-Spectra"" Peirce documented his discovery of hitherto unknown diffraction phenomena called ""ghosts."" In his spectrum meter experiments, Peirce compared wave-lengths of light with the breadth of a diffraction plate. He used a machine called a comparator, a spectrometer he himself designed, and a diffraction plate designed by Lewis M. Rutherfurd.
On the Algebra of Logic [In: American Journal of Mathematics. Volume III. Number I.]. - [INTRODUCING MODERN SEMANTICS]
Cambridge, 1880. 4to, entire issue present (Vol. III, no. 1). With the original printed wrappers. Uncut. Wrappers detached and with tears and loss to extremities. Backtrip gone. Stitching a bit loose. Internally nice and clean. Pp. (15)-57. [Entire issue 96 pp. + 2 plates]
The scarce first printing of Peirce's important paper ""On the Algebra of Logic"", in which he broke with the Aristotelian semantics of classes and introduced modern semantics, allowing a class symbol to be empty (as well as to be the universe), and stated the truth values of the categorical propositions that we use today.""This article holds a place of some importance in the history of formal logic and mathematics. In what is published here from the first chapter Peirce discusses that relationship between thinking and cerebration (or logic and physiology)."" (The Essential Peirce: 1867-1893 v. 1: Selected Philosophical Writings, Indiana University Press, 1992, 200 pp.
Mélanges cybernétiques.
Moscou, Editions Mir, 1975, petit in 12 broché, 399 pages ; traces de scotch sur les gardes.
Impressions, trouvailles, curiosités, notes, réflexions, récits, etc. PHOTOS SUR DEMANDE. ...................... Photos sur demande ..........................
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