‎Mathématiques‎

‎"CAYLEY, A.‎

‎Note sur la transformation de Tschirnhausen (+) Deuxième sur la transformation de Tschirnhausen.‎

‎Berlin, Georg Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1861, band 58. Without backstrip. Fine and clean. Pp. 259-69.‎

‎"CAYLEY, ARTHUR & GIUSEPPE VERONESE.‎

‎Sur quelques théorèmes de la géométrie de position (Cayley) (+) Behandlung der projectivischen Verhältnisse der Räume von verschiedenen Dimensionen durch das Princip des Projicirens und Schneidens. 2 vols. - [THE CAYLEY-VERONESE CLASS OF CONFIGURATIONS.]‎

‎Berlin, G. Reimer, 1846. - Leipzig, B.G. Teubner, 1881. 4to and 8vo. Cayley's paper in ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, Bd. 31: Drittes Heft.1846"". Pp. (179-)268,(2) and 1 plate. The whole issue (Drittes Heft) present with titlepage, stitched without wrappers. Cayley's paper pp. 213-226. - Veronese's paper in ""Mathematische Annalen. In Verbindung mit C. Neumann...hrsg. von Felix Klein und Adolph Meyer. XIX. Band. 2 Heft. 1881."" Pp. (161-)234. The whole issue (2. Heft) present with orig. printed wrappers. No backstrip. Veronese's paper pp. (161-)234.‎

‎"CAYLEY, ARTHUR.‎

‎A Theorem on Groups. - [CAYLEY'S GROUP THEOREM]‎

‎Leipzig, B. G. Teubner, 1879. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 13., 1878. 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. 561-65. [Entire volume: IV, 576 pp.].‎

‎"CAYLEY, ARTHUR.‎

‎An Elementary Treatise on Elliptic Functions.‎

‎Cambridge, Deighton, Bell and Co., 1876. Orig. full brown cloth. Gilt lettering to spine. Spine ends slightly frayed. Some discolouring to endcover. Light wear to extremities. X,(1),384pp. + Publisher's catalogue 16 pp. Internally clean and fine. From the library of the Englsih mathematician F.S. Carey, having his name on upper part of titlepage. ""F.S. Carey/Trin. Coll. Cam.""‎

‎First edition of the only published book by the famous British mathematician. Cayley's aimed at treeting elleiptic functions by ""pure algebra"" and to fill in the gaps left by Jacobi. ""For most of his life Cayley worked incessantly at mathematics, theoretical dynamics, and mathematical astronomy. He published only one full-lenght book, ""Treatise on Elliptic Functions"" (the item offered)"" but his output of papers and memoirs was prodigious, numbering nearly a thousand, the bulk of them since published in thitteen large quarto volumes. His work was greatly appreciated from the time of its publication, and he did not have to wait for mathematical fame."" (DSB).‎

Riferimento per il libraio : 39707

‎"CAYLEY, ARTHUR.‎

‎Note on a Family of Curves of the Fourth Order.‎

‎Cambridge, Macmillan and Co., 1850. 8vo. Bound in contemporary half calf with black and red title labels to spine with gilt lettering. In ""The Cambridge and Dublin Mathematical Journal"", Vol. V [5], (Being Vol. IX [9], of the Cambridge Mathematical Jorunal), 1850. Bookplate pasted on to pasted down front free end-paper and library code written in hand to lower part of spine. Library cards in the back. A fine and clean copy. Pp. 148-59. [Entire volume: IV, 288 pp.].‎

‎First printing of Cayley's important paper on curves of the fourth order. ""As an example of a remarkable property of cubic surfaces there was Cayley's discovery in 1849 [the present paper], of the existence of exactly 27 lines on every surface of the third degree. Not all need be real but there are surfaces for which they are all real."" (Kleine, P. 859).The volume contains many other important contributions by contemporary mathematicians.‎

Riferimento per il libraio : 47401

‎"CAYLEY, ARTHUR.‎

‎On the Theory of Groups, as depending on the Symbolic Equation thetan=1. - [THE THEORY OF GROUPS]‎

‎London, Taylor & Francis, 1854. 8vo. Bound in contemporary half calf with gilt lettering and five raised bands in gilt to spine. In ""Philosophical Magazine"", Fourth Series, Vol. 7. 1854. Wear to extremities and stamp to title-page. Otherwise fine and clean. Pp. 40-47. (Entire volume: VII, (1), 536 pp. + 4 engraved plates.)‎

‎First edition The first abstract definition and treatment of the concept of a group. Lagrange and Galois had, among others, already used group theoretic methods for solving polynomial equations"" however, they considered only particular examples of groups, e.g., roots. It was Cayley, who first gave an abstract definition of groups as a collection of symbols equipped with an operation. In this paper he also proved that every group is isomorphic to a group of permutations, i.e. Cayley's Theorem, and he introduced the so called ""Cayley Tables"".‎

Riferimento per il libraio : 47094

‎"CAYLEY, ARTHUR.‎

‎Sur quelques propriétés des déterminants gauches.‎

‎Berlin, Georg Reimer, 1846. 4to. In ""Journal für die reine und angewandte Mathematik, 32. Band, 2 Heft, 1846"". In the original printed wrappers, without backstrip. Front wrapper with a brown mark to top left corner, otherwise fine and clean. [Cayley:] Pp. 119-23. [Entire issue: Pp. 93-180, (2)].‎

‎First printing of Cayley's paper on Rotation matrix or skew-symmetric matrix (a square matrix A whose transpose is also its negative).""By 1846 Cayley had made use of four dimensions in the enunciation of specifically synthetic geometrical theorems, suggesting methods later developed by Veronese (C. M. P., I, no. 50 [1846], 317-328). Long afterward Cayley laid down in general terms, without symbolism, the elements of the subject of ""hyperspace"" (cf his use of the terms ""hyperelliptic theta functions,"" ""hyperdetermtnant,"" and so on) in his ""Memoir on Abstract Geometry"" (C. M. P., VI, no. 413 [1870], 456-469), showing that he was conscious of the metaphysical issues raised by his ideas in the minds of his followers but that as a mathematician he was no more their slave then than when remarking in his paper of 1846 (published in French): ""We may in effect argue as follows, without having recourse to any metaphysical idea as to the possibility of space of four dimensions (all this may be translated into purely analytic language)."""" (DSB)‎

Riferimento per il libraio : 45097

‎"CAYLEY, ARTHUR. - A FUNDAMENTAL PAPER ON INVARIANT THEORY.‎

‎An Introductory Memoir upon Quantics. received April 20, - Read may 4, 1854.‎

‎(London, Richard Taylor and William Francis, 1854). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1854, Vol. 144 - Part I. Pp. 245-258.‎

‎First printing of the first paper in Cayley's famous memoirs on 'quantics', a term he coined for algebraic forms. In this paper Cayley throughout remodelled the whole basis for Invariant Theory.""In addition to his part in founding the theory of abstract groups, Cayley has a number of important theorems to his credit: perhaps the best known is that every finite group whatsoever is isomorphic with a suitable group of permutations (see the first paper of 1854). This is often reckoned to be one of the three most important theorems of the subject, the others being the theorems of Lagrange and Sylow. But perhaps still more significant was his early appreciation of the way in which the theory of groups was capable of drawing together many different domains of mathematics: his own illustrations, for instance, were drawn from the theories of elliptic functions, matrices, quantics, quaternions, homographic transformations, and the theory of equations. If Cayley failed to pursue his abstract approach, this fact is perhaps best explained in terms of the enormous progress he was making in these subjects taken individually.""(DSB)‎

Riferimento per il libraio : 49410

‎"CAYLEY, ARTHUR. - THE FOUR COLOUR THEOREM.‎

‎On the Colouring of Maps.‎

‎London, Edward Stanford, 1879. Without wrappers in ""Proceedings of the Royal Geographical Society and monthly Record of Geography"", April issue with titlepage to vol. 1, 1879. Pp.(2), 225-288 a. 2 folded maps. Cayley's paper: pp. 259-261‎

‎"CAYLEY, ATHUR.‎

‎Tables des formes quadratiques binaires pour les determinants negatifs depuis D = - 1 jusqu'à D= - 100, pour les déterminants positifs non carrés depuis D = 2 jusqu'à D = 99, et pour les treize déterminants négatifs irréguliers qui se trouvent dans ...‎

‎Berlin, G. Reimer, 1862. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 60. Band, 1862""., without backstrip. Fine and clean. [Cayley:] Pp. 357-372.‎

‎"CHASLES, MICHEL.‎

‎Histoire de l'arithmétique - Règles de l'Abacus.‎

‎(Paris, Bachelier), 1843. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome XVI, Pp. 218-46. (Entire issue offered: Pp. 215-80 ).‎

‎"CHAUM, DAVID L.‎

‎Untraceable Electronic Mail, Return Addresses, and Digital Pseudonyms. - [THE BIRTH OF THE CYPHERPUNK MOVEMENT]‎

‎(New York), 1981. Large8vo. Bound with the original front wrapper in recent brown cloth with gilt lettering to spine. In: ""Communications of the ACM"", January 1981, Vol. 24. Entire volume offered. Margins closely shaved, otherwise fine and clean. Pp. 84-88. [Entire volume: 858 pp.].‎

‎"CHRISTOFFEL, E. B.‎

‎Über die Gaußsche Quadratur und eine Verallgemainerung derselben.‎

‎Berlin, G. Reimer, 1858. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 55. Band, 1858""., without backstrip. Fine and clean. [Christoffel:] Pp. 61-82.‎

‎"CHURCH, ALONZO (+) ALAN TURING (+) EMIL POST.‎

‎[Church:] A note on the Entscheidungsproblem (+) Correction to A note on the Entscheidungsproblem (+) Review of ""A. M. Turing. On Computable numbers, with an application to the Entscheidungsproblem"" (+) [Post:] Finite combinatory processes-formulation... - [LANDMARK VOLUME IN THE HISTORY OF LOGIC]‎

‎[No place], The Association for Symbolic Logic, 1936 & 1937. Royal8vo. Bound in red half cloth with gilt lettering to spine. In ""Journal of Symbolic Logic"", Volume 1 & 2 bound together. Barcode label pasted on to back board. Small library stamp to lower part of 16 pages. A very fine copy. [Church:] Pp. 40-1" Pp. 101-2. [Post:] Pp. 103-5. [Turing:] Pp. 153-163 " 164. [Entire volume: (4), 218, (2), IV, 188 pp.]‎

‎"CHURCH, ALONZO (+) EMIL L. POST.‎

‎[Church:] A note on the Entscheidungsproblem (+) Correction to A note on the Entscheidungsproblem (+) [Post:] Finite combinatory processes-formulation I. [In ""Journal of Symbolic Logic"", Volume 1, number 1 + 3, 1936] - [THE FOUNDATION FOR MODERN COMPUTER LOGIC]‎

‎Wisconsin, The Association for Symbolic Logic, 1936. Lev8vo. Entire volume one of ""Journal of Symbolic Logic"" (i.e. number 1-4), March, June, September, December 1936) BOUND WITH ALL THE ORIGINAL WRAPPERS in a blue half cloth with gilt lettering to spine. Crossed-out library paper-label to lower part of spine and top left corner of front board. Two library stamps (in Chinese) to back of front free end-paper. Chinese library-stamp (red) and stamped inventory-number lower part of all four front wrappers. Minor bumping to lower corner of nr. 4, otherwise internally a very fine and clean copy of the entire volume. [Church:] Pp. 40-1" " 101-2. [Post:] Pp. 103-5. [Entire volume: 218 pp.].‎

‎"CHURCH, ALONZO.‎

‎A formulation of the simple theory of types. - [CHURCH'S TYPE THEORY]‎

‎(No place), The Association for Symbolic Logic, 1940 & 1941. Lev8vo. Bound in red half cloth with gilt lettering to spine. In ""Journal of Symbolic Logic"", Volume 5 & 6. Barcode label pasted on to back board. Small library stamp to lower part of 6 pages. A very fine copy. Pp. 56-68. [Entire copy: IV, 188, IV, 184 pp.).‎

‎"CHURCH, ALONZO.‎

‎Norwood Russell Hanson. A note on the Gödel theorem (+) David Perlman. A milestone in math - professor's new concept (+) Benson Mates. Stoic Logic.‎

‎[No place], The Journal of Symbolic Logic, 1967. 8vo. In the original printed wrappers. In ""Journal of Symbolic Logic"", Vol. 28, Number 4. December, 1963. Entire issue offered. A very fine and clean copy. Pp. 295 [Entire issue: Pp. 273-346, VI. ].‎

‎"CHURCH, ALONZO., ALAN TURING & EMIL POST.‎

‎[Collection of important papers in mathematical logic]: 1. Alonzo Church: A note on the Entscheidungsproblem. + 2. Alonzo Church: Review of ""On computable numbers, ..."". + 3. Alan Turing: Computability and lambda-definability. 4. Emil Post: Finite com... - [LANDMARK VOLUME IN THE HISTORY OF LOGIC]‎

‎The Association for Symbolic Logic, 1936-1938. Royal8vo. In: Journal of Symbolic Logic, Volume 1-3. The three entire volumes bound in one offered here. Contemporary full cloth with silver gilt spine lettering. Provenance: Exlibris from the Rockefeller Institute for Medical Research, New York. A fine and completely clean copy.‎

‎"CLAIRAUT, (ALEXIS CLAUDE de).‎

‎Indledning til Geometrien. Öfversat ifrån Fransyska Språket.‎

‎Stockholm, Lars Salvius, 1744. Samtidigt hpergamentsbd. (14),190,22 pp. samt 14 kobberstukne plancher. Titelvignetten og andre vignetter og 3 foldeplancher kolorerede. Et par udsnit i titelbladet, hvor gl. ejernavne bortklippet. Uden teksttab. Lidt spredte brunpletter, men ganske velbevaret.‎

‎"CLAIRAUT, (ALEXIS CLAUDE de).‎

‎Indledning til Geometrien. Öfversat ifrån Fransyska Språket.‎

‎Stockholm, Lars Salvius, 1744. Samtidigt hpergamentsbd. (14),190,22 pp. samt 14 kobberstukne plancher. Titelvignetten og andre vignetter og 3 foldeplancher kolorerede. Et par udsnit i titelbladet, hvor gl. ejernavne bortklippet. Uden teksttab. Lidt spredte brunpletter, men ganske velbevaret.‎

‎First Swedish edition of Clairaut's renowned elementary geometry ""Élémens de géométrie"", 1741.Clairaut’s Élémens de géométrie is linked to the more liberal school. He wanted geometry to be rediscovered by beginners and therefore put together, for himself and for them, a very optimistic history of mathematical thought that reflected the concepts of his contemporaries Diderot and Rousseau. (DSB).""I intended to go back to what might have given rise to geometry"" and I attempted to develop its principles by a method natural enough so that one might assume it to be the same as that of geometry’s first inventors, attempting only to avoid any false steps that they might have had to take"" [Élémens de géométrie, preface].‎

Riferimento per il libraio : 45769

‎"CLAIRAUT, (ALEXIS-CLAUDE)‎

‎Sur quelques Questions de Maximis et Minimis.‎

‎(Paris, L'Imprimerie Royale, 1735). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1733"". Pp. 186-194. Textfigs. Clean and fine.‎

‎First appearanceof an importent paper on the Calculus.""Clairaut’s ""Sur quelques questions de maximis et minimis"" (1733) was noteworthy in the history of the calculus of variations. It was written, as were all his similar works, in the style of the Bernoulli brothers, by likening the infinitesimal arc of the curve of three elementary rectilinear segments.""(DSB).‎

Riferimento per il libraio : 46582

‎"CLAUSIUS, R. (RUDOLF)‎

‎Über die Intensität des durch die Atmosphäre reflectirten Sonnenlichts.‎

‎Berlin, G. Reimer, 1848. 4to. In the original printed wrappers, without back strip. In ""Journal für die reine und angewandte Mathematik"", 36. band, Heft 3, 1848. Entire third heft offered. Fine and clean. Pp. 185-244. [Entire volume: Pp. 185-282 + 3 plates.].‎

‎"CLEBSCH, A.‎

‎Ueber das Pfaffsche Problem.‎

‎Berlin, G. Reimer, 1862. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 60. Band, 1862""., without backstrip. Fine and clean. [Clebsch:] Pp. 193-251.‎

‎First printing of Clebsche's important paper on Pfaff invariants.""German mathematician whose work on algebraic geometry was considered the first and most fundamental work in that branch of mathematics. Clebsch also developed a brilliant interpretation of some of Georg Riemann's work on function theory and investigated some aspects of algebraic geometry using approaches that differed from convention, focusing on algebraic interpretations rather than geometrical ones. Clebsch also founded an important journal, Mathematische Annalen before his premature death at the age of 39."" (Schlager, Science and Its Times, P. 267)‎

Riferimento per il libraio : 48048

‎"CLEBSCH, A.‎

‎Ueber symbolische Darstellung algebraischer Formen. - [SEMINAL CONTRIBUTION TO THE SYMBOLIC METHOD IN INVARIANT THEORY]‎

‎Berlin, G. Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 59. Band, 1861"". Without backstrip. Fine and clean. [Clebsch:] Pp. 1-62.‎

‎First printing of Clebsch's early and founding paper on the symbolic method in invariant theory. The Symbolic method is based on treating the form as if it were a power of a degree one form, which corresponds to embedding a symmetric power of a vector space into the symmetric elements of a tensor product of copies of it.""Clebsch completed the symbolic calculus for forms and invariants created by Aronhold, and henceforth one spoke of the Clebsch-Aronhold symbolic notation. Clebsch’s own contributions in this field of algebraic geometry include the following. With the help of suitable eliminations he determined a surface of order 11n - 24 intersecting a given surface of order n in points where there is a tangent that touches the surface at more than three coinciding points. For a given cubic surface he calculated the tenth-degree equation on the resolution of which the determination of the Sylvester pentahedron of that surface depends. For a plane quartic curve Clebsch found a remarkable invariant that, when it vanishes, makes it possible to write the curve equation as a sum of five fourth-degree powers. At the end of his life Clebsch inaugurated the notion of a ""connex,"" a geometrical object in the plane obtained by setting a form containing both point and line coordinates equal to zero."" (DSB)‎

Riferimento per il libraio : 48050

‎"CLEBSCH, A.‎

‎Zur Theorie der algebraischen Flächen (+) Ueber eine Transformation der homogenen Funktionen dritter Ordnung mit vier Veränderlichen.‎

‎Berlin, Georg Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 58. Band, 1861"". Without backstrip. Fine and clean. Pp. 93-126.‎

‎First printing of these two important papers on Quaternary cubics (a degree 3 homogeneous polynomial in four variables).‎

Riferimento per il libraio : 49316