24 books for « cayley a »Edit

‎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.‎

‎Both papers first edition and first apperance in print of these two main papers in the history of projective geometry.""Cayley, in his paper ""Sur quelques théorèmes de la géométrie de position"", (the paper offered) first calls attention to the figures obtained by taking the section, by a plane or 3-dimensional space, of the complete n-point (viz., n points, and the (n/2) lines, (n/3) plans etc. dtermined by them) in a flat spaceof v dimensions. Later Veronese discusses more fully the nature of this class of configurations thus obtained in r dimensions (the second paper offered). Both Cayley and Veronese state that these same configurations can also be obtained as projections of higher-dimensional figures."" (Walter B. Carver). Veronese ""in particular may be considered the main founder of the projective geometry of hyperspaces with n dimensions, which had previously been linear algebra presented geometrically, rather than geometry.""(DSB). - An: Veronese-paper see Sommerville Bibliography of Non-Euclidean Geometry, 1881:3.This issue of ""Crelle's Journal"" contains one more paper of Cayley: ""Problème de géometrie analytique."", pp. 227-230.‎

‎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

‎Fitrst appearance of Cayley's famous paper on the Four-Colour-Problem""The four-colour map problem (to prove that on any map only four colours are needed to separate countries) is celebrated in mathematics. It resisted the attempts of able mathematicians for over a century and when it was successfully proved in 1976 the ‘computer proof’ was controversial: it did not allow scrutiny in the conventional way. At the height of his influence in 1878, Arthur Cayley had drawn attention to the problem at a meeting of the London Mathematical Society and it was duly ‘announced’ in print. (the paper offered). He made a short contribution himself and he encouraged the young A. B. Kempe to publish a paper on the subject. Though ultimately unsuccessful, the work of Cayley and Kempe in the late 1870s brought valuable insights..... Francis Galton is revealed as the ‘go-between’ in suggesting Cayley publish his observations in Proceedings of the Royal Geographical Society."" (Tony Crilly).The Four-Colour-Theorem was proved in 1976 by Kenneth Appel and Wolfgang Haken. It was the first major mathematical theorem to be proved using a computer.‎

‎A Memoir on the Theory of Matrices. Received December 10, 1857, - Read January 14, 1858. (+) A Supplementary Memoir on the Theory of Matrices. Received October 24, - Read December 7, 1865.‎

‎(London, Richard Taylor and William Francis, 1858 and Taylor and Francis, 1866. 4to. No wrappers as extracted from ""Philosophical Transactions"" Vol. 148 - Part I. Pp. 17-37, and Vol. 156 - Part I, Pp. 25-35. Clean and fine.‎

‎First appearance of this outstanding contribution to mathematics, announcing his invention and developments of the ALGEBRA OF MATRICES, what is now called the Cayley-Hamilton theorem for square matrices of any order. ""The subject originated in a memoir of 1858 (the paper offered) and grew directly out of simple observations on the way in which the transformations (linear) of the theory of algebraic invariants are combined...a distinctive feature of these rules is that multiplication is not commutative...we get different results according to the order in which we do the multiplication... (it) seems about as far from anything of scientific or practical use as anything could possible be. Yet sixty seven years after Cayley's invented it, HEISENBERG in 1925 recognized in the algebra of matrices exactly the tool which he neede for his revolutionary work in QUANTUM MECHANICS.""(Bell, Men of Mathematics).""It was in connection with the study of invariants under linear transformation that Cayley first introduced matrices to simplify the notation involved. Here he gave some basic notions. This was followed by his first major paper on the subject ""A Memoir on the Theory of Matrices."", the paper offered here. (Kline, Mathematical Thought...p. 806).‎

‎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)‎

‎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)‎

‎A Sixth Memoir upon Quantics. Received November 18, 1858, - Read anuary 6, 1859.‎

‎(London, Richard Taylor and William Francis, 1859). 4to. No wrappers as extracted from ""Philosophical Transactions"" Vol. 149 - Part I. Pp. 61-90. Clean and fine.‎

‎First appearance of this pathbreaking paper in which Cayley unites 'Metrical Geometry' and 'Projectice Geometry' by introducing ""imaginary"" elements to metrical properties.""The fundamental notions in metrical geometry are the distance between two points and the angle between two lines. Replacing the concept of distance by another, also involving ""imaginary"" elements, Cayley provided the means for unifying Euclideangeometry and the common non-Euclidean gemoetries into one comprehensive theory.""(Bell in ""Men of Mathematics"").In non-Euclidean geometry prepared the way for Klein's splendid discovery that the geometry of Euclid and the non-Euclidean geometries of Lobatchewsky and Riemann are, all threee, merely different aspects of a more general kind of geometry which includes them as special cases..Dealing with the relations between metrical and projective geometry Klein remarks (In ""Entwicklung der Mathematik"", Teil I p. 148): ""Vor allem kommt für uns sein (Cayley's) berühmtes 'A Sixth Memoir upon Quantics"" im betrachtt. Quantioc heisst soviwel ""Form"", d.h. homogenes Polynom von zwei, drei oder mehr Variablen, wonach man binäre, tertiäre usw. Formen unterscheidet...""‎

‎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"". ‎

‎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.‎

‎First printing of Cayley's paper including many tables of tables of binary quadratic forms.‎

‎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).‎

‎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. ‎

‎The Theory of Linear Transformations (+) On The Reduction of the General Equation of the n-th Degree (Sequel to a Memoire on the Theory of Linear Transformations) [Boole] (+) Note on Mr. Cockle's Solution of a Cubic Equation [Cayley]. - [THE VERY FIRST BOOLEAN DETERMINANT]‎

‎Cambridge, Macmillan and Co., 1851. 8vo. Bound with the original front wrapper in contemporary half calf with black and red title labels to spine with gilt lettering. In ""The Cambridge and Dublin Mathematical Journal"", Vol. VI [6], (Being Vol. X [10], of the Cambridge Mathematical Journal), 1851. 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. First two leaves detached, but present (Title page and index page). Otherwise a fine and clean copy. Pp. 87-106"" Pp. 106-141. [Entire volume: IV, 293 pp.].‎

‎First printing of these two important paper by Boole and Cayley's famous note to include the very first Boolean determinant: ""...the Hessian, or as it ought to be termed, the first Boolean Determinant"" (P. 192).‎

‎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.‎

‎First apperance of these two papers in which Cayley obtained the transformed equations for the cubic and quartic equations.‎

‎A Memoir on Prepotentials. Received April 8, - Read June 10, 1875.‎

‎(London, Taylor and Francis, 1876). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1875 - Part II. Pp. 675-774. Clean and fine.‎

‎First printing of Cayley's importent paper on multiple integrals in which he gives the formula for the potential of certain heterogenous ellipsoids. Clifford called it ""a contribution of great value to the most importent branch of mathematical physics.""‎

‎On the Double Tangents of a Plane Curve. Received March 17, - Read April 14, 1859.‎

‎(London, Taylor and Francis, 1859). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1859 - Vol. 149 - Part I. Pp. 193-212. Clean and fine.‎

‎First printing of the paper in which Cayley gives a solution to the problem of double tangents.‎

‎On the Sextactic Points of a Plane Curve. Received November 5, - Read december 22, 1864.‎

‎(London, Taylor and Francis, 1865). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1865 - Vol. 155 - Part II. Pp. 545-578.‎

‎First printing of an importent paper. Cayley was the to determine the sextic curve.‎

‎"La corruption du meilleur engendre le pire - ""Spiritualité"""‎

‎Actes Sud. 2007. In-8. Broché. Etat d'usage, Couv. convenable, Dos satisfaisant, Papier jauni. 345 pages. Quelques rousseurs.. . . . Classification Dewey : 810-Littérature américaine‎

‎Trad. de l'américain par Daniel de Bruycker et Jean Robert. Classification Dewey : 810-Littérature américaine‎

‎What Bird is That ?. A Guide to the Birds of Australia. Illustrated by the Author. Revised and enlarged by A.H. Chisholm a. others.‎

‎London, Sydney, (1978). Orig. full cloth. Part of wrappers pasted in. VII,348 pp., 37 colourplates.‎

‎A Memoir on the Theory of Reciprocal Surfaces. Received November 12, 1868, - Read January 14, 1869.‎

‎(London, Taylor and Francis, 1870). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1869 - Vol. 159 - Part I. Pp. 201-229. Clean and fine.‎

‎First printing of the paper which ""contains some extensions of dr. Salmon's theory of Reciprocal Surfaces‎

‎On the Analytical Theory of the Conic. Received May 8, - Read May 15, 1862.‎

‎(London, Taylor and Francis, 1862). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1862 - Vol. 152 - Part I. Pp. 639-662. Clean and fine.‎

‎First printing of an importent paper in analytical geometry.‎

‎On the Curves which satisfy given Conditions. Received April 18, - Read May 2, 1867. (+) Second Memoir on the Curves...(2 Papers).‎

‎(London, Taylor and Francis, 1869). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1868 - Vol. 158. Pp. 75-143 a. pp. 145-172. Clean and fine.‎

‎First printings on 2 influential memoirs on the analytical geometry of curves.‎

‎On Tschirnhausen's Transformation. Received November 7, - Read December 5, 1861.‎

‎(London, Taylor and Francis, 1862). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1862 - Vol. 152 - Part I. Pp. 561-578.‎

‎First printing.‎

‎A Memoir on the Transformation of Elliptic Functions. Received November 14, 1873, - Read January 8, 1874.‎

‎(London, Taylor and Francis, 1874). 4to. No wrappers as extracted from ""Philosophical Transactions"", Vol. 164. Pp. 397-456.‎

‎First edition. The subject treated here was the substance of his only published book ""Tretise on Elliptic Functions"", published 1876.‎

‎WATH BIRD IS THAT? - A GUIDE TO THE BIRD OF AUSTRALIA.‎

‎ANGUS & ROBERTSON PUBLISHERS. 1978. In-8. Relié. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. XV + 348 pages augmentées de nombreuses planches couleurs et nombreuses illustrations en couleurs et en noir et blanc - Jaquette correcte.. Avec Jaquette. . . Classification Dewey : 598-Ornithologie‎

‎OUVRAGE EXCLUSIVEMENT EN ANGLAIS / ILLUSTRE PAR L'AUTEUR. Classification Dewey : 598-Ornithologie‎

‎Tableaux du commerce et de la navigation de la province du Canada pour l'année 1855, compilés d'après des rapports officiels‎

‎Derbishire & Desbarats Couverture rigide toile Toronto 1856 ‎

‎Très bon Grand in-8. 277 pages. Ex-libris d'institutions en page de garde. Avec cinq tableaux dépliants hors-texte. Mention manuscrite en page de titre : "Don de M. le Juge Baby".‎