‎Analyse mathématique: Réflexions et problèmes préparatoires aux études supérieures‎

‎Belin 1987 159 pages in8. 1987. Broché. 159 pages.‎

‎Bon état cependant couverture défraîchie intérieur propre‎

‎On Quaternions" or on a new System of Imaginaries in Algebra. - [MAKING THE GENERAL THEORY OF RELATIVITY POSSIBLE]‎

‎London, Richard and John Taylor, 1844. Contemp. hcalf. Gilt lettering to spine ""Philosophical Magazine"" - Vol. XXV. In: ""The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. Conducted by David Brewster et al."". Vol. XXV. A stamp to titlepage and a few other pages. Entire volume offered (July-December 1844). VIII,552 pp., textillustr. Hamilton's paper: pp. 10-13, 141-145 and 241-246.‎

‎First printing of this landmark paper in which Hamilton published his creation of a new algebra of quaternions (a noncommunicative algebra), a turning point in the development of mathematics and a discovery which made possible the creation of the general theory of relativity. His algebra was later to form the basis of quantum mechanics and for the proper understanding of the atom.""Gauss had treated imaginary numbers in combination with real ones as representing points on a plane and showed the methods by which such complex numbers could be manipulated. Hamilton tried to extend this to threee dimensions and found himself unable to work out a self-consistent method of multiplication, until it occurred to him that the cummutative law of multiplication need not necessarily hold. It is taken for granted that A times B is equal to B times A... and this is an example of what seems to be an eternal and inescapable truth. Hamilton, however, showed that he could built up a logical algebra for his quaternions only when B times A was not made to equal - A times B. This seems against common sense but, like Lobachevski, Hamilton showed that the truth is relative and depends on the axioms you choose to accept.""(Asimov).The creation of quaternions is one of the famous moments in the history of mathematics. ""The quaternions came to Hamilton in one of those flashes of understanding that occasionally occur after long deliberation on a problem. He was walking into Dublin on 16 October 1843 along the Royal Canal to preside at a meeting of the Royal Irish Academy, when the discovery came to him. As he described it, ""An electric circuit seemed to close.""18 He immediately scratched the formula for quaternion multiplication on the stone of a bridge over the canal. His reaction must have been in part a desire to commemorate a discovery of capital importance, but it was also a reflection of his working habits. Hamilton was an inveterate scribbler. His manuscripts are full of jottings made on walks and in carriages. He carried books, pencils, and paper everywhere he went. According to his son he would scribble on his fingernails and even on his hard-boiled egg at breakfast if there was no paper handy.""(DSB).Hamilton later developed his invention in his book from 1853 ""Lectures on Quaternions"" - see PMM: 334 and Grattan-Guiness ""Landmark Writings in Western Mathematics 1640-1940"", pp. 460 ff.In this volume other importent papers by Gassiot, Sylvester, Joule, Draper.‎

‎LIVRE-CAHIER DE MATHEMATIQUE, CLASSE DE 3e‎

‎Didier. 1972. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 95 pages (feuillets perforés pour classeur). Avec fascicule de 31 pages (Livre des Parents).. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Collection 'L.C.', sous la dir. de Georges Hacquard. Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Les méthodes de Monte Carlo. Traduit par Mme F. Rostand.‎

‎ P., Dunod (Collection "Monographies Dunod" N°65), 1967, petit in 12 reliure pleine toile brique de l'éditeur, III-229 pages. ‎

‎PHOTOS sur DEMANDE. ...................... Photos sur demande .......................... ‎

‎Numerical Methods for Scientists and Engineers. Second Edition.‎

‎N.Y., Dover Publ., (1986). Orig. wrappers. XIV,721 pp.‎

‎Development of Minkowski geometry of numbers -- EDITION ORIGINALE -- BEL EXEMPLAIRE‎

‎N.Y., MacMillan, 1939, un volume in 8 relié en pleine toile éditeur, 24pp., (1), 839pp.‎

‎---- EDITION ORIGINALE ---- BEL EXEMPLAIRE ---- Cajori pp. 371 & 372**5827/P5DE‎

‎Elliptic Integrals.‎

‎New York, John Wiley & Sons, 1917. Orig. full cloth. 104 pages, including tables and index.‎

‎First Edition First Thousand. Mathematical Monographs, No. 18. ‎

‎Lectures on the calculus of variation (The Weierstrassian theory). Bulletin of mathematics n° 1 -- EDITION ORIGINALE -- PRESENTATION COPY TO EMILE PICARD -- BEL EXEMPLAIRE‎

‎Cincinnati, Cincinnati University press, 1904, un fort volume grand in 4 relié en demi-chagrin noir, dos et plats ornés de filets dorés (reliure de l'époque), 16pp., 292pp., (1)‎

‎---- EDITION ORIGINALE ---- Exemplaire SUR GRAND PAPIER ayant appartenu à Emile PICARD dont le nom est inscrit en lettres dorées sur le premier plat de couverture ---- ENVOI DE HARRIS HANCOCK à Emile PICARD ainsi libellé : "To prof E. Picard with the kind remembrances and best wishes - signé Harris HANCOK" ---- BEL EXEMPLAIRE ---- "Prominent researches on the calculus of variations are due to J.G. Darboux, E. Goursat, E. Zermelo, H.A. Schwarz, H. Hahn and to the american H. HANCOCK...". (Cajori p. 372)**25710/2571/N1‎

‎THEORIE DES PROBABILITES ET QUELQUES APPLICATIONS / Collection d'ouvrages de mathématiques a l'usage des physiciens .‎

‎MASSON ET CIE. 1965. In-4. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. VII + 457 pages.. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎Maths 2de repères‎

‎Hachette éducation. Non daté. In-4. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 368 pages augmentées de nombreux schémas en couleurs et en noir et blanc dans le texte. Etiquette collée sur le premier plat.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Simple Survey Methods and Theory. 2 vols. (1. Methods and Applications. 2. Theory).‎

‎N.Y., Wiley & Sons, (1953). 2 orig. full cloth. XXII,638XIII,332 pp.‎

‎First edition.‎

‎Introduction à la logistique‎

‎1939 Hermann et Cie éditeurs "collection ""actualités scientifiques et industrielles"", logique et théorie de la science" broché, 65p. Très bon état.‎

‎Traduit de l'allemand par H. Savonnet. Table : le calcul des propositons - méthode de déduction - structure des phrases - classification des mots - le calcul des fonctions - le calcul des classes - les paradoxes - systèmess axiomatique. ‎

‎Logaritmisch-trigonometrisches Handbuch welches die gemeinen Logarithmen der natürlichen Zahlen von 1000 bis 10000, so wie auch die Logarithmen der trigonometrischen Functionen...Wohlfeilere Ausgabe.‎

‎Wien, Rohrmann u. Schweigard, 1833. Lex8vo. Cont. hcalf. Gilt back. Some wear to back. Stamp on titlepage. XVIII pp. and 175 unnumb. pp.‎

‎Henderson, Bibliotheca Tabularum Mathematicarum No. 132.‎

‎NOTIONS ELEMENTAIRES DE GEOMETRIE DESCRIPTIVE APPLIQUEE AU DESSIN‎

‎Dunod. 1939. In-8. Relié. Bon état, Couv. légèrement passée, Dos frotté, Intérieur bon état. 191 pages. Illustré de nombreuses figures géométriques en noir et blanc dans le texte, dont quelques unes dépliables.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎5e édition revue. Bibliothèque de l'enseignement technique. Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Notions Elémentaires de Géométrie Descriptive appliquée au dessin.‎

‎DUNOD & PINAT. 1910. In-12. Relié toilé. Bon état, Couv. convenable, Dos satisfaisant, Quelques rousseurs. 172 pages. Nombreux schémas en noir et blanc dans le texte. Quelques planches dépliantes de schémas en noir et blanc hors-texte.Tranches rouges. Relié pleine tile verte.. . . . Classification Dewey : 510-Mathématiques‎

‎Bibliothèque de l'Enseignement Technique. Représentation du point, de la droite et du plan. Représentation des polyèdres et des corps ronds. Sections Planes. Intersections de solides géométriques... Classification Dewey : 510-Mathématiques‎

‎Cours de mathématiques - 4. exercices et problèmes corrigés - Nouvelle édition refondue classes préparatoires au haut enseignement commercial (programmes 1984) premiers cycles de l'enseignement supérieur.‎

‎Belin. 1984. In-8. Broché. Etat d'usage, Couv. légèrement pliée, Dos satisfaisant, Intérieur frais. 384 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎COURS DE MATHEMATIQUES, 1, ALGEBRE‎

‎Belin. 1986. In-4. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 224 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Collection Dia. Cours et exercices. Prépas HEC / ESCAE. Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Introduction a la théorie des graphes orientés - modèles structuraux.‎

‎Dunod. 1968. In-8. Relié. Etat d'usage, Couv. convenable, Dos satisfaisant, Intérieur frais. VIII+437 pages - nombreuses figures en noir et blanc dans le texte - tampon sur la page de titre et sur la page de garde - une étiquette collée et tampon sur le 1er contre plat - jaquette abîmée, déchirée, pliée.. Avec Jaquette. . . Classification Dewey : 510-Mathématiques‎

‎Traduit par A.Gibert. Classification Dewey : 510-Mathématiques‎

‎Divergent Series.‎

‎Oxford, Clarendon Press, (1956). Royal8vo. Orig. full cloth. XVI,396 pp.‎

‎Orders of Infinity. The 'Infinitärcalcül' of Paul du Bois-Reymond.‎

‎Cambridge, University Press, 1910. Cont. hcloth. 88),62 pp. Name on halftitle (Erling Følner).‎

‎First edition. Hardy was the leading English pure mathematician at the time. This is his second work. (Cambridge Tracts in Mathematics and Mathematical Physics).‎

‎Inequalities.‎

‎Cambridge, 1934. orig. full cloth. Top of spine frayed. XII,314 pp. Internally fine and clean.‎

‎First edition.‎

‎A Treatise on the Theory of Functions.‎

‎London a. N.Y., Macmillan and Co., 1893. Orig. full green cloth, gilt lettering to spine. IX,507 pp., textillustrations. A fine clean copy.‎

‎First edition og one of the most importent work in the Theory of Functions.‎

‎Ueber die Vieltheiligkeit der ebenen algebraischen Curven. - [ANTICIPATION OF HILBERT'S SIXTEENTH PROBLEM]‎

‎Leipzig, B. G. Teubner, 1876. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 10., 1876. 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.189-198. [Entire volume: IV, 592 pp.].‎

‎First printing of Harnack's Curve Theorem which formed the background for Hilbert's sixteenth problem. In real algebraic geometry, Harnack's curve theorem, named after Axel Harnack, describes the possible numbers ofconnected components that an algebraic curve can have, in terms of the degree of the curve.Hilbert's sixteenth problem was posed as the ""Problem of the topology of algebraic curves and surfaces"", he presented his problem as follows: ""The upper bound of closed and separate branches of an algebraic curve of degree n was decided by Harnack (the present paper)"" from this arises the further question as of the relative positions of the branches in the plane.As of the curves of degree 6, I have - admittedly in a rather elaborate way - convinced myself that the 11 branches, that they can have according to Harnack, never all can be separate, rather there must exist one branch, which have another branch running in its interior and nine branches running in its exterior, or opposite. It seems to me that a thorough investigation of the relative positions of the upper bound for separate branches is of great interest, and similarly the corresponding investigation of the number, shape and position of the sheets of an algebraic surface in space - it is not yet even known, how many sheets a surface of degree 4 in three-dimensional space can maximally have."" (Rohn, Flächen vierter Ordnung, Preissschriften der Fürstlich Jablonowskischen Gesellschaft, Leipzig 1886).Hilbert had investigated the M-curves of degree 6, and found that the 11 components always were grouped in a certain way. His challenge to the mathematical community now was to completely investigate the possible configurations of the components of the M-curves.Furthermore he requested a generalization of Harnack's Theorem to algebraic surfaces and a similar investigation of surfaces with the maximum number of components.The problem is still unsolved today.‎

‎The ENIAC, an Electronic Computing Machine. - [""FIRST PAPER ON AN ELECTRONIC DIGITAL COMPUTER PUBLISHED IN A LARGE-CIRCULATION""]‎

‎London, Macmillan & Co., 1946. 8vo. Without wrappers. Extracted from ""Nature. No. 4015, Saturday, October 12, 1946, Vol. 158"". A fine and clean copy. [Hartree:] Pp. 500-6. [Entire offered issue: Pp. 495-528].‎

‎First printing of this ""first paper on an electronic digital computer published in a large-circulation international scientific journal."" (OOC).The ENIAC was the first general-purpose electronic computer. It was a Turing-complete [computationally universal] digital computer capable of being reprogrammed to solve a full range of computing problems.""Hartree, a British mathematician, first learned of ENIAC [Electronic Numerical Integrator And Computer] in 1945, when he saw the as-yet uncompleted machine during a visit to the Moore School. In 1946 he returned to the Moore School as a participant in the Moore School lectures, advising on nonmilitary uses of ENIAC"" during this time he became the first Englishman to work with the machine. He was the first to bring news of ENIAC to Great Britain, publishing the above article in Nature shourtly after his return from the United States. Although he himself invented no new calculating devices, Hartree's promotion of electronic digital calculating methods in scientific computation helped to stimulate the development of more powerful computers like Cambridge University's EDSAC."" (OOC).The ENIAC was compared to today's standard rather large: It was 100 feet long, 10 feet high, and 3 deep and contained 18,000 vacuum tubes, about 70,000 resistors, 10,000 capacitors, and 6,000 switches. It consumed 140 kilowatts of power, so much power that, when operated, the lights in a nearby town dimmed.See: Hook & Norman. Origins of Cyberspace 648.‎