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‎"OLIVIER, LOUIS.‎

‎Remarques sur les series infinies et leur convergence.‎

‎[Berlin, G. Reimer, 1827.] 4to. As extracted, without backstrip. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 2. Band, 1827"". Fine and clean. Pp. 31-100.‎

‎In 1827, L. Olivier [26] published a paper claiming that the harmonic series represents a kind of 'boundary' case with which other potentially convergent seriesof positive terms could be compared.‎

書籍販売業者の参照番号 : 47329

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 107.44 購入

‎"OLMSTED, P. S. (+) J. W. TURKEY.‎

‎Testing Peripheral Association. A Corner Test for Association.‎

‎(Atlantic City, N. J., 1947). Large 4to. (278x214 mm / 10.94x8.43 inches). Offprint from Bell System Technical Journal, Vol. 18, pp.495-513, December, 1947. Original printed wrappers with holes punched in the back (as issued). Lower left corner with traces after having been bended. Lower 2 cm of spine loosened, otherwise fine and clean throughout. Pp. 19.‎

‎Scarce offprint issue of Olmstead and Tukey's important paper in which a new method for the association of two continuous variables are proposed. ""Its notable properties are: (1) Special weight is given to extreme values of the variables. (2) Computation is very easy. (3) The test is non-parametric."" (From the present paper). ""One of the most influential statisticians of the twentieth century, John Wilder Tukey (1915-2000) played a key role in both the development and study of statistics. Upon receiving his Ph.D. in mathematics in 1939 from Brown University, he joined the faculty at Princeton"" in 1945, he also began work at Bell Laboratories. Equally committed to both Princeton and Bell Labs, Tukey chose to work concurrently at both institutions. He was also a consultant for many companies, such as Merck and Company, Xerox Corporation, and the Educational Testing Service, and was a frequent advisor to the government for such programs as the US Census. From 1960 to 1980 he led the statistical component of NBC's election night projections. Among other projects Tukey analyzed Alfred Kinsey's research and examined data on ozone depletion. Tukey made many important contributions to the field of statistics, such as work in time series analysis, exploratory data analysis, and multiple comparisons. In early 1945, Tukey began working for Bell Labs, a lifelong association, as it would turn out. While at Bell Labs, Tukey worked with B. D. Holdbrook to develop the Nike missile system although the scant correspondence within this collection is rather routine and doesn't reflect their extensive contribution. Tukey also had a reputation for being discreet regarding his more sensitive projects."" (American Philosophical Society).‎

書籍販売業者の参照番号 : 47529

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 295.46 購入

‎"OLIVIER, LOUIS.‎

‎Remarques sur les series infinies et leur convergence.‎

‎[Berlin, G. Reimer, 1827.] 4to. As extracted, without backstrip. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 2. Band, 1827"". Fine and clean. Pp. 31-100.‎

‎"OLMSTED, P. S. (+) J. W. TURKEY.‎

‎Testing Peripheral Association. A Corner Test for Association.‎

‎(Atlantic City, N. J., 1947). Large 4to. (278x214 mm / 10.94x8.43 inches). Offprint from Bell System Technical Journal, Vol. 18, pp.495-513, December, 1947. Original printed wrappers with holes punched in the back (as issued). Lower left corner with traces after having been bended. Lower 2 cm of spine loosened, otherwise fine and clean throughout. Pp. 19.‎

‎"ORE, ØYSTEIN.‎

‎Die Dedekindschen Sätze über den Zusammenhang Zwischen den Idealen und den Höheren Kongruenzen.‎

‎Kristiania, Jacob Dybwad, 1924. Royal8vo. In the original printed wrappers with authors presentation inscription to top of front wrapper: ""Cand. real Lange-Nielsen / med hilsen / fra forf."". Wrappers with light miscolouring, otherwise fine. 11, (1) pp.‎

‎First appearance - with the author's presentation inscription - of Ore's paper on Dedekind Sets. Ore, Norwegian mathematician, is known for his work in ring theory, Galois connections, and most of all, graph theory. His early work was on algebraic number fields, how to decompose the ideal generated by a prime number into prime ideals. He then worked on noncommutative rings, proving his celebrated theorem on embedding a domain into a division ring. He then examined polynomial rings over skew fields, and attempted to extend his work on factorisation to non-commutative rings.‎

書籍販売業者の参照番号 : 52313

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 107.44 購入

‎"ORE, ØYSTEIN.‎

‎Kriterien für Gleichungen mit Primitiven Gruppen.‎

‎Kristiania, Jacob Dybwad, 1924. Royal8vo. In the original printed wrappers with authors presentation inscription to top of front wrapper: ""Cand. real Lange-Nielsen / med hilsen / fra forf."". Wrappers with light miscolouring, otherwise fine. 16 pp.‎

‎First appearance - with the author's presentation inscription - of Ore's paper on the criteria for equations with primitive groups.Ore, Norwegian mathematician, is known for his work in ring theory, Galois connections, and most of all, graph theory. His early work was on algebraic number fields, how to decompose the ideal generated by a prime number into prime ideals. He then worked on noncommutative rings, proving his celebrated theorem on embedding a domain into a division ring. He then examined polynomial rings over skew fields, and attempted to extend his work on factorisation to non-commutative rings.‎

書籍販売業者の参照番号 : 52314

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 107.44 購入

‎"ORE, ØYSTEIN.‎

‎Über die Reduzibilität von Algebraischen Gleichungen.‎

‎Kristiania, Jacob Dybwad, 1923. Royal8vo. In the original printed wrappers with authors presentation inscription to top of front wrapper: ""Cand. real Lange-Nielsen / med hilsen / fra forf."". Wrappers detached from book-block, otherwise fine. 37, (1) pp.‎

‎First appearance - with the author's presentation inscription - of Ore's paper on the reducibility of algebraic equations.Ore, Norwegian mathematician, is known for his work in ring theory, Galois connections, and most of all, graph theory. His early work was on algebraic number fields, how to decompose the ideal generated by a prime number into prime ideals. He then worked on noncommutative rings, proving his celebrated theorem on embedding a domain into a division ring. He then examined polynomial rings over skew fields, and attempted to extend his work on factorisation to non-commutative rings.‎

書籍販売業者の参照番号 : 52312

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 107.44 購入

‎"ORE, ØYSTEIN.‎

‎Die Dedekindschen Sätze über den Zusammenhang Zwischen den Idealen und den Höheren Kongruenzen.‎

‎Kristiania, Jacob Dybwad, 1924. Royal8vo. In the original printed wrappers with authors presentation inscription to top of front wrapper: ""Cand. real Lange-Nielsen / med hilsen / fra forf."". Wrappers with light miscolouring, otherwise fine. 11, (1) pp.‎

‎"ORE, ØYSTEIN.‎

‎Kriterien für Gleichungen mit Primitiven Gruppen.‎

‎Kristiania, Jacob Dybwad, 1924. Royal8vo. In the original printed wrappers with authors presentation inscription to top of front wrapper: ""Cand. real Lange-Nielsen / med hilsen / fra forf."". Wrappers with light miscolouring, otherwise fine. 16 pp.‎

‎"ORE, ØYSTEIN.‎

‎Über die Reduzibilität von Algebraischen Gleichungen.‎

‎Kristiania, Jacob Dybwad, 1923. Royal8vo. In the original printed wrappers with authors presentation inscription to top of front wrapper: ""Cand. real Lange-Nielsen / med hilsen / fra forf."". Wrappers detached from book-block, otherwise fine. 37, (1) pp.‎

‎"OTTO, J.C.F.‎

‎Mathematische Theorie des Ricoschettschusses.‎

‎Berlin, Jonqs Verlagsbuchhandlung, 1833. Fine contemp. hcalf, gilt spine. A paperlabel pasted on lower part of spine. Stamps on titlepage.X,145,(1) pp. and 1 folded engraved plate. With ""Tafel"" I-IV (= pp.61-146). Scattered brownspots.‎

書籍販売業者の参照番号 : 39462

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 201.45 購入

‎"OTTO, J.C.F.‎

‎Mathematische Theorie des Ricoschettschusses.‎

‎Berlin, Jonqs Verlagsbuchhandlung, 1833. Contemp. hcalf, gilt spine. Stamps on titlepage and front free endpaper.X,145,(1) pp. and 1 folded engraved plate. With ""Tafel"" I-IV (= pp.61-146). A few brownspots.‎

書籍販売業者の参照番号 : 45110

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 161.16 購入

‎"OTTO, J.C.F.‎

‎Mathematische Theorie des Ricoschettschusses.‎

‎Berlin, Jonqs Verlagsbuchhandlung, 1833. Fine contemp. hcalf, gilt spine. A paperlabel pasted on lower part of spine. Stamps on titlepage.X,145,(1) pp. and 1 folded engraved plate. With ""Tafel"" I-IV (= pp.61-146). Scattered brownspots.‎

‎"OTTO, J.C.F.‎

‎Mathematische Theorie des Ricoschettschusses.‎

‎Berlin, Jonqs Verlagsbuchhandlung, 1833. Contemp. hcalf, gilt spine. Stamps on titlepage and front free endpaper.X,145,(1) pp. and 1 folded engraved plate. With ""Tafel"" I-IV (= pp.61-146). A few brownspots.‎

‎"OZANAM, (JACQUES).‎

‎L'Usage du Compas de Proportion, expliqué et demontré d'une maniere courte & facile, & augmenté d'un Traité de la division des Champs. Derniere édition, corrigée & augmentée.‎

‎Paris, Charles-Antoine Jombert, 1736. 8vo. Contemp. full vellum. 150,(2) pp. and 1 folded engraved plate, many textdiagrams. Leaves somewhat browned.‎

‎Ozanam's work on the proportional compas - first printed in 1688 - became very popular and successfull and it was lastly printed in 1794.""By almost any criterion Ozanam cannot be regarded as a first-rate mathematician, even of his own time. But he had a flair for writing and during his career wrote a number of books, some of which were very popular, passing through many editions.""(DSB).‎

書籍販売業者の参照番号 : 46755

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 221.59 購入

‎"OZANAM, (JACQUES).‎

‎Recreations Mathematiques et Physiques, qui contiennent plusieurs Problêmes d'Arithmetique, de Geometrie, d'Optique, de Gnomonique, de Cosmographie, de Mechanique, de Pyrotechnique, & de Physique. Avec un Traité nouveau des Horloges Elementaires. ... - [FOUNDING THE GENRE ""RECREATIONAL MATHEMATICS""]‎

‎Paris, Jean Jombert, 1694. 8vo. 2 contemp. full calf. Raised bands. Richly gilt spines with gilt lettering. Light wear to spine top of spines. 2 very small nicks to lower compartment of volume 2. Small crack to one hinge on volume 2, but in no way loosening. (32),400""(16),303,(1) pp. + ""Horloges"" separately paginated (8),163,(5) pp. With in all 84 engraved plates, some with many figs. Internally clean and fine.‎

‎Scarce first edition and the first work of its kind, ""Recreational Mathematics"".Qzanam's ""contributions consisted of popular treatises and reference works on ""useful and practical mathematics,"" and an extremely popular work on mathematical recreations" the latter had by far the more lasting impact. Ozanam’s Récréations may be regarded as the forerunner of modern books on mathematical recreations. He drew heavily on the works of Bachet de Méziriac, Mydorge, Leurechon, and Daniel Schwenter" his own contributions were somewhat less significant, for he was not a particularly creative mathematician. The work was later augmented and revised by Montucla and, still later, was translated into English by Hutton (1803).""(DSB).‎

書籍販売業者の参照番号 : 46773

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 3,021.75 購入

‎"OZANAM, JACQUES.‎

‎Recreations mathematiques et physiques, qui contiennent plusieurs problemes d'aritmetique, de geometrie, de musique, d'optique, de gnomonique, de cosmographie, de mecanique, de pyrotechnie, et de physique. Nouvelle edition. 4 vols. - [FOUNDING THE GENRE ""RECREATIONAL MATHEMATICS""]‎

‎Paris, Charles Antoine Jombert, 1750 (Vol. 2: 1749). 8vo. Uniformly bound in four nice contemporary full spinkled calf binding with five raised bands and richly gilt spines. Small paper-label pasted on to top of spines. Edges of boards gilt. All edges coloured in red. Light wear to extemities, primarily affecting spine-ends. A nice and clean set. (16), 460, (20) pp. + 32 plates." (4), 462, (14) pp. + 49 plates (2), 482, (12) pp. + 31 plates. (8), 446, (6) pp. + 17 plates. (A total of 129 plates out of 136)‎

‎Beautiful later edition the first work of its kind" ""Recreational Mathematics"".Qzanam's ""contributions consisted of popular treatises and reference works on ""useful and practical mathematics,"" and an extremely popular work on mathematical recreations" the latter had by far the more lasting impact. Ozanam’s Récréations may be regarded as the forerunner of modern books on mathematical recreations. He drew heavily on the works of Bachet de Méziriac, Mydorge, Leurechon, and Daniel Schwenter" his own contributions were somewhat less significant, for he was not a particularly creative mathematician. The work was later augmented and revised by Montucla and, still later, was translated into English by Hutton (1803).""(DSB).‎

書籍販売業者の参照番号 : 60995

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 604.35 購入

‎"OZANAM, (JACQUES).‎

‎L'Usage du Compas de Proportion, expliqué et demontré d'une maniere courte & facile, & augmenté d'un Traité de la division des Champs. Derniere édition, corrigée & augmentée.‎

‎Paris, Charles-Antoine Jombert, 1736. 8vo. Contemp. full vellum. 150,(2) pp. and 1 folded engraved plate, many textdiagrams. Leaves somewhat browned.‎

‎"OZANAM, (JACQUES).‎

‎Recreations Mathematiques et Physiques, qui contiennent plusieurs Problêmes d'Arithmetique, de Geometrie, d'Optique, de Gnomonique, de Cosmographie, de Mechanique, de Pyrotechnique, & de Physique. Avec un Traité nouveau des Horloges Elementaires. ... - [FOUNDING THE GENRE ""RECREATIONAL MATHEMATICS""]‎

‎Paris, Jean Jombert, 1694. 8vo. 2 contemp. full calf. Raised bands. Richly gilt spines with gilt lettering. Light wear to spine top of spines. 2 very small nicks to lower compartment of volume 2. Small crack to one hinge on volume 2, but in no way loosening. (32),400" "(16),303,(1) pp. + ""Horloges"" separately paginated (8),163,(5) pp. With in all 84 engraved plates, some with many figs. Internally clean and fine.‎

‎"PASCH, MORITZ.‎

‎Mathematik am Ursprung. Gesammelte Abhandlungen über Grundfragen der Mathematik.‎

‎Leipzig, Felix Meiner, 1927. Orig. printed wrappers. Frontwrapper loose. Small loss to top of backstrip. (4),149 pp. From the library of the Danish logician and philosopher Jørgen Jørgensen with his name on frontwrapper.‎

‎First edition of this collection of 7 of Pasch's most importent work on axiomatics and geometry.""Pasch initiated the axiomatic method, although the foundational developments of his time were against this point of view. Thus Cantor's striking discoveries were based, from an axiomatic point of view, on nothing... As late as 1903 Frege poked fun of at the axiomatic method as presented in Hilbert's ""Grundlagen der Geometrie....particularly Peano continued Pasch's work. In 1889 Peano published both his exposition of geometry, following Pasch, and his treatment of number...Pasch played a crucial role in the innovation of the axiomatic methode. This method, with contributions from logic and algebra, is a central feature of twentieth-century mathematics."" (DSB).‎

書籍販売業者の参照番号 : 47944

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 100.72 購入

‎"PAINLEVÉ, PAUL. - INTRODUCING THE PAINLEVÉ TRANSCENDENTS.‎

‎Sur les équations differentielles du second ordre à points critiques fixes.‎

‎(Paris, Gauthier-Villars), 1906. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 143, No 26.. Pp. (1110-) 1208. (Entire issue offered). Painlevé's paper: pp. 1111-1117. Frayed in inner margins, poor paperquality.‎

‎First apperance of the paper in which Pailevé introduced the transcendents which bears his name.""The phenomenon of movable singular points was discovered by Fuchs. The study of movable singular points and of nonlinear second orderr equations with and without such singular points was taken up by many men, notably by Paul Painlevé."" (Morris Kline ""Mathematical Thought from Ancient to Modern Times"", p. 737).‎

書籍販売業者の参照番号 : 47894

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 134.30 購入

‎"PAINLEVÉ, PAUL.‎

‎Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme. - [PAINLEVÉ TRANSCENDENTALS]‎

‎Berlin, Stockholm, Paris, Beijer, 1902. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 25, 1902. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 1-86.[Entire volume: (4), 383 pp].‎

‎First appearance of Painlevé's important paper in which he introduced some of his transcendents, now know as ""Painlevé transcendents"".Painlevé transcendents are solutions to certain nonlinear second-order ordinary differential equations in the complex plane with the Painlevé property (the only movable singularities are poles), but which are not generally solvable in terms of elementary functions. ""In old problems in which the difficulties seemed insurmountable, Painlevé defined new transcendentals for singular points of differential equations of a higher order than the first. In particular he determined every equation of the second order and first degree whose critical points are fixed. The results of these studies are applicable to the equations of analytical mechanics which admit rational or algebraic first integrals with respect to the velocities. Proving, in the words of Hadamard’s éloge, that ""continuing [the work of] Henri Poincaré was not beyond human capacity,"" Painlevé extended the known results concerning the n-body problem. He also corrected certain accepted results in problems of friction and of the conditions of certain equilibriums when the force function does not pass through a maximum.""Paul Painlevé later became the French prime minister.‎

書籍販売業者の参照番号 : 49643

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 201.45 購入

‎"PASCH, MORITZ.‎

‎Vorlesungen über Neuere Geometrie. - [THE INNOVATION OF THE AXIOMATIC METHOD]‎

‎Leipzig, B.G. Teubner, 1882. Contemp. hcloth. IV,201,(1) pp., textfigs. At end inserted ""Anfangsgründe der beschreibende Geometrie nebst einem Anhang über Kartenprojection. Ein Leitfaden beim Unterricht an höheren Lehranstalten von Wilhelm Mink."" Orig. printed wrappers. 47 pp. textfigs. Internally fine and clean.‎

‎Scarce first edition of this groundbreaking work. ""The work on non-Euclidean geometry had brought the realization that geometries are man-made constructions bearing upon physical space but not necessarely exact idealization of it. This fact implied that several major changes had to be incorporated in any axiomatic approach to geometry. These were recognized and stressed by Moritz Pasch (1843-1930), who was the first to make major contributions to the foundations of geometry. His ""Vorlesungen über neuere Geometrie"", (the offered item) is a groundbreaking work."" (Morris Kline).""Pasch initiated the axiomatic method, although the foundational developments of his time were against this point of view. Thus Cantor's striking discoveries were based, from an axiomatic point of view, on nothing...As late as 1903 Frege poked fun of at the axiomatic method as presented in Hilbert's ""rundlagen der Geometrie....particularly Peano continued Pasch's work. In 1889 Peano published both his exposition of geometry, following Pasch, and his treatment of number...Pasch played a crucial role in the innovation of the axiomatic methode. This method, with contributions from logic and algebra, is a central feature of twentieth-century mathematics."" (DSB). - Sommerville ""Bibliography of Non-Euclidean Geometry"", p. 67 (1882).‎

書籍販売業者の参照番号 : 39290

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 470.05 購入

‎"PAINLEVÉ, PAUL.‎

‎Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme. - [PAINLEVÉ TRANSCENDENTALS]‎

‎Berlin, Stockholm, Paris, Beijer, 1902. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 25, 1902. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 1-86.[Entire volume: (4), 383 pp].‎

‎"PAINLEVÉ, PAUL. - INTRODUCING THE PAINLEVÉ TRANSCENDENTS.‎

‎Sur les équations differentielles du second ordre à points critiques fixes.‎

‎(Paris, Gauthier-Villars), 1906. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 143, No 26.. Pp. (1110-) 1208. (Entire issue offered). Painlevé's paper: pp. 1111-1117. Frayed in inner margins, poor paperquality.‎

‎"PASCH, MORITZ.‎

‎Mathematik am Ursprung. Gesammelte Abhandlungen über Grundfragen der Mathematik.‎

‎Leipzig, Felix Meiner, 1927. Orig. printed wrappers. Frontwrapper loose. Small loss to top of backstrip. (4),149 pp. From the library of the Danish logician and philosopher Jørgen Jørgensen with his name on frontwrapper.‎

‎"PASCH, MORITZ.‎

‎Vorlesungen über Neuere Geometrie. - [THE INNOVATION OF THE AXIOMATIC METHOD]‎

‎Leipzig, B.G. Teubner, 1882. Contemp. hcloth. IV,201,(1) pp., textfigs. At end inserted ""Anfangsgründe der beschreibende Geometrie nebst einem Anhang über Kartenprojection. Ein Leitfaden beim Unterricht an höheren Lehranstalten von Wilhelm Mink."" Orig. printed wrappers. 47 pp. textfigs. Internally fine and clean.‎

‎"PEIRCE, C(HARLES) S(ANDERS).‎

‎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.‎

書籍販売業者の参照番号 : 41487

Livre Rare Book

Herman H. J. Lynge & Son
Copenhagen Denmark Dinamarca Dinamarca Danemark
[この書籍販売業者の本を検索: Herman H. J. Lynge & Son]

€ 2,148.80 購入

‎"PEANO, GUISEPPE.‎

‎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).‎

書籍販売業者の参照番号 : 38823

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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""]‎

‎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.""‎

書籍販売業者の参照番号 : 39042

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‎"PEARSON, KARL. - ESTABLISHING MODERN MATHEMATICAL STATISTICS AND BIOMETRICS.‎

‎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.‎

書籍販売業者の参照番号 : 42461

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‎"PEANO, GIUSEPPE.‎

‎Demonstration de l’intégrabilité des équations différentielles ordinaires. - [PEANO EXISTENCE THEOREM]‎

‎Leipzig, B.G. Teubner, 1890. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 37, 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. Fine and clean. Pp. 182-228. [Entire volume: IV, 604 pp.].‎

‎First printing of Peano's correct and complete Existence Theorem. Peano first published the theorem in 1886 with an incorrect proof. In 1890 he published a new correct proof using successive approximations. The theorem is also known as Peano existence theorem, Peano theorem or Cauchy-Peano theorem.‎

書籍販売業者の参照番号 : 47182

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€ 241.74 購入

‎"PEANO, GIUSEPPE.‎

‎Démonstration de l'intégrabilité des équations différentielles ordinaires. - [THE PROOF OF THE EXISTENCE THEOREM - INTRODUCING THE AXIOM OF CHOICE]‎

‎Leipzig, B.G. Teubner, 1890. Orig. printed wrappers, no backstrip. A small offsetting to upper left corner of frontwrapper. A small tear to endwrapper repaired. In ""Mathematische Annalen. Gegenwärtig hrsg. von Felix Klein, Walter Dyck, Adolph Mayer, 36. Band, 2. Heft."" Pp. (153-)320. The whole issue (Heft 2) with orig.wrappers. Peano's paper: pp. 182-288.‎

‎First edition and the first appearance of this fundamental paper in which Peano gives the proof of the so-called ""Peano-Existence-Theorem"" and at the same time contains the first explicit statement of ""The axiom of choice"".The Peano-Existence-Theorem, or ""Cauchy-Peano-Theorem"" guarantees the existence of solutions to certain initial value problems. He first published the theorem in 1886 in ""Sull'integrabilita della equazioni differenziali del primo ordine"" in Atti Accad. Sci. Torino, 21, with an incorrect proof. The new correct proof appeared in this paper, as offered.""Peano's work in analysis began in 1883 with an article on the integrability of functions. The article of 1890 (the paper offered) contains notions of integrals and areas. Peano wasthe first to show that the first-order differential equation y' = f(x,y) is solvable on the sole assumption that f is continuous. His first proof dates from 1886, but its rigor leaves something to be desired. In 1890 this result was generalized to systems of differential equations using a different method of proof. This work is also notable for containing the first explicit statement of the axiom of choice. Peano rejected the axiom of choice as being outside the ordinary logic used in mathematical proofs."" (Hubert T Kennedy in DSB).‎

書籍販売業者の参照番号 : 41242

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‎"PEANO, G. (GUISEPPE). - THE ""FORMULARIO-PROJECT""‎

‎Formulaire de Mathématiques.‎

‎Paris, Georges Carré et C. Naud, 1901. Royal8vo. Contemp. hcalf. Spine gilt and with gilt lettering. Small stamp at foot of titlepage and last leaf. VIII,230,(2) pp. With the ownership-signature of the noted Danish logician Jørgen Jørgensen to front free endpaper. Clean and fine.‎

‎First edition of Peano's third version - the third volume - of his Formulario-project aiming at presenting all mathematical axioms and results in a clear form always using his five axioms and thereby rewrites all known mathematics in a symbolic form and thus provide a key to a satisfactory solution to the questions of the foundations of mathematics. The logical notations used by Peano were used and developed by Whitehead and Russell in their ""Principia Mathematica"" of 1910.""In 1892 he announced in the Rivista the Formulario project, which was to take much of his mathematical and editorial energies for the next sixteen years. He hoped that the result of this project would be the publication of a collection of all known theorems in the various branches of mathematics. The notations of his mathematical logic were to be used, and proofs of the theorems were to be given. There were five editions of the Formulario (the offered item being the third). The first appeared in 1895"" the last was completed in 1908, and contained some 4,200 theorems (the item offered). But Peano was less interested in logic as a science per se than in logic as used in mathematics. (For this reason he called his system ""mathematical logic."") Thus the last two editions of the Formulario introduce sections on logic only as it is needed in the proofs of mathematical theorems."" (DSB).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.‎

書籍販売業者の参照番号 : 48350

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€ 470.05 購入

‎"PEANO, GIUSEPPE.‎

‎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.‎

書籍販売業者の参照番号 : 50755

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‎"PEANO, GIUSEPPE.‎

‎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.‎

書籍販売業者の参照番号 : 50757

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€ 107.44 購入

‎"PEANO, GIUSEPPE.‎

‎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.‎

書籍販売業者の参照番号 : 50761

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€ 201.45 購入

‎"PEIRCE, C(HARLES) S(ANDERS).‎

‎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.‎

書籍販売業者の参照番号 : 41486

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‎"PEARSON, KARL AND ALICE LEE. - COINING THE CONCEPTS 'MULTIPLE CORRELATION"" AND 'PARTIAL CORRELATION'.‎

‎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).‎

書籍販売業者の参照番号 : 44863

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‎"PEARSON, KARL. - INTRODUCING THE ""CHI-SQUARED GOODNESS-OF-FIT TEST""‎

‎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.‎

書籍販売業者の参照番号 : 47148

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‎"PEANO, GIUSEPPE.‎

‎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.‎

書籍販売業者の参照番号 : 50754

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€ 201.45 購入

‎"PEANO, GIUSEPPE.‎

‎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.‎

書籍販売業者の参照番号 : 50756

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‎"PEANO, GIUSEPPE.‎

‎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.‎

書籍販売業者の参照番号 : 47189

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‎"PERRON, OSKAR.‎

‎Zur Theorie der Matrices. - [Perron-Frobenius theorem]‎

‎Leipzig, B. G. Teubner, 1907. 8vo. Bound in contemporary half calf with gilt lettering to spine. In ""Mathematische Annalen"", 64. Band, 1907. Hinges and extremities with wear. Bookplates to pasted down front free end-paper. Internally fine and clean. Pp. 248-263. [Entire volume: IV, 576 pp].‎

‎First printing of Perron's important paper on positive matrices which profoundly influenced several fields of science. ""Today the Perron-Frobenius mathematics of nonnegative matrices enjoys wide applications, the most sensational perhaps being its implicit use by millions of internet surfers, who routinely activate Google's PageRank algorithm every day. Such a remarkable worldwide application in an electronic search engine is a far cry from the original theoretical articles, written more than a century ago, by Perron and Frobenius. These two German scholars preferred to concentrate on pure mathematics. Especially Frobenius in Berlin considered applications as inferior subjects that should be relegated to technical schools"" (PARYS, How pioneers of linear economics overlooked Perron-Frobenius mathematics).The volume also contain Hjelmslev's important paper: ""Neue Begründung der ebenen Geometrie"" and Brill's paper on three-dimensional algebraic curves: ""Ueber algebraische Raumkurven"".‎

書籍販売業者の参照番号 : 47453

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‎"PEANO, G. (GUISEPPE). - THE ""FORMULARIO-PROJECT""‎

‎Formulaire de Mathématiques.‎

‎Paris, Georges Carré et C. Naud, 1901. Royal8vo. Contemp. hcalf. Spine gilt and with gilt lettering. Small stamp at foot of titlepage and last leaf. VIII,230,(2) pp. With the ownership-signature of the noted Danish logician Jørgen Jørgensen to front free endpaper. Clean and fine.‎

‎"PEANO, G. (GUISEPPE). - THE ""FORMULARIO-PROJECT""‎

‎Formulaire de Mathématiques. Publié par le ""Rivista di Mathematica"". Tome I, Tome II and Édition de L'An 1901 (= Tome III).‎

‎Turin, Bocca Freres, 1895, 1899 a. 1901. One contemp. hcalf. Spine lacks. VII,144 - 198,(1) - VIII,230,(1) pp. Internally fine.‎

‎"PEANO, GIUSEPPE.‎

‎Demonstration de l’intégrabilité des équations différentielles ordinaires. - [PEANO EXISTENCE THEOREM]‎

‎Leipzig, B.G. Teubner, 1890. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 37, 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. Fine and clean. Pp. 182-228. [Entire volume: IV, 604 pp.].‎

‎"PEANO, GIUSEPPE.‎

‎Démonstration de l'intégrabilité des équations différentielles ordinaires. - [THE PROOF OF THE EXISTENCE THEOREM - INTRODUCING THE AXIOM OF CHOICE]‎

‎Leipzig, B.G. Teubner, 1890. Orig. printed wrappers, no backstrip. A small offsetting to upper left corner of frontwrapper. A small tear to endwrapper repaired. In ""Mathematische Annalen. Gegenwärtig hrsg. von Felix Klein, Walter Dyck, Adolph Mayer, 36. Band, 2. Heft."" Pp. (153-)320. The whole issue (Heft 2) with orig.wrappers. Peano's paper: pp. 182-288.‎

‎"PEANO, GIUSEPPE.‎

‎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].‎

‎"PEANO, GIUSEPPE.‎

‎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].‎

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