"HERMITE, CHARLES. - INTRODUCING ""HERMITE-FUNCTIONS"" - ""HERMITE POLYNOMIALS""
Reference : 48185
(1864)
(Paris, Mallet-Bachelier), 1864. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 58, No 2 and No. 6. Pp. (93-) 140 a. pp. (261-) 296. (2 entire issues offered). hermite's paper: pp. 93-100 a. pp. 266-273.
First appearance of a famous paper in which Hermite introduced ""Hermite-functions"", solving differential equations over infinite intervals.""The Hermite polynomials are a classical orthogonal polynomial sequence that arise in probability, such as the Edgeworth series" in combinatorics, as an example of an Appell sequence, obeying the umbral calculus in numerical analysis as Gaussian quadrature in finite element methods as Shape Functions for beams" and in physics, where they give rise to the eigenstates of the quantum harmonic oscillator. They are also used in systems theory in connection with nonlinear operations on Gaussian noise. They are named after Charles Hermite (1864) (the paper offered) although they were studied earlier by Laplace (1810) and Chebyshev (1859).""(Wikipedia).
Berlin, G. Reimer, 1846. 4to. No wrappers. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 32. Band, 1846"". Entire issue offered.
First appearance of these two fundamental letters, representing the very first research by Hermite, sent from Charles Hermite to Jacobi"" the letter first in January 1843, the second in august 1944. Hermite's first letter is on the extension of Abelian functions of the theorem given by Abel on the division of the argument of elliptic functions and begins as follows: ""The study of your memoir published in Crelle's journal under the title 'De functionibus quadruliciter periodicis quibus theoria transcendentium Abelianarum innititur' has led me, for the division of the argument in these functions to a theorem analogous to that which you have given in the third volume of that journal for obtaining the simplest expression of the roots of the equation treated by Abel"". Hermite shows that the corresponding equations are soluble by radicals and he treats of the reduction of the equation in the case of the division of complete functions. Hermite's second letter gives the proof of the formula for the transformation of elliptic functions which Jacobi had given without proof six years before. ""These two letters, embodying as they do the first original researches of Hermite, were given by Jacobi the same cordial reception as had been accorded to his first letter of 1827 by Legendre. Writing on the 24th June, 1843, in reply to Hermite's first letter, Jacobi says ""I thank you very sincerely for the beautiful and important communication which you have made to me about the division of Abelian functions. You have opened, by the discovery of this division, a vast field of researches and new discoveries which will give a great impetus to the analytical art."" (Prasad, Some Great Mathematicians of the Nineteenth Century).
(Paris, Mallet-Bachelier), 1858. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 46, No 11. Pp. (503-) 546 (entire issue offered). Hermite's paper: pp. 508-515.
First apperance of Hermite's famous paper in which he, by the application of elliptic functions, provided the first solution to the general equation of the fifth degree, the quintic equation.Hermite was a major figure in the development of the theory of algebraic forms, the arithmetical theory of quadratic forms, and the theories of elliptic and Abelian functions. He first studied the representation of integers in what are now called Hermitian forms. His famous solution of the general quintic equation appeared in Sur la résolution de l’équation du cinquième degré (1858"" ""On the Solution of the Equation of the Fifth Degree""). (Encyclopedia Britannica).Parkinson ""Breakthroughs"" 1858 M.
(Paris: Gauthier-Villars), 1855. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences"", Vol 40, No 5 + 6. Pp. (205-) 260 a. pp. (261-) 324. (2 entire issue offered). Hermite's paper's: pp. 249-256 a. 304-309.
First printing of Hermite's importent paper in which he created the theory of transformations.""Another topic on which Hermite worked and made important contributions was the theory of quadratic forms. This led him to study invariant theory and he found a reciprocity law relating to binary forms. With his understanding of quadratic forms and invariant theory he created a theory of transformations in 1855. His results on this topic provided connections between number theory, theta functions, and the transformations of abelian functions.""""Hermite’s 1855 results became basic for the transformation theory of Abelian functions as well as for Camille Jordan’s theory of ""Abelian"" groups. They also led to Herrnite’s own theory of the fifth-degree equation and of the modular equations of elliptic functions.""(DSB).
Ecole Polytechnique. 1875-1877. In-4. Relié. Bon état, Couv. convenable, Dos satisfaisant, Quelques rousseurs. 279 + 272 pages. Auteur, titre, années et filets dorés sur le dos. Texte manuscrit (copie). Etiquette de code sur le dos. Tampons et annotation de bibliothèque en page de titre. Bords des plats légèrement frottés. Quelques petites taches d'encre et annotatioons au crayon dans le texte.. . . . Classification Dewey : 510-Mathématiques
Très rare. Calcul différentiel. Notions sur les différentielles totales. Théorie du Contact géométrique. Surfaces enveloppes. Courbes unicursales. Des fonctions et variables imaginaires. Equations linéaires... Classification Dewey : 510-Mathématiques
Masson et Cie , Instituts Universitaires de Technologie Malicorne sur Sarthe, 72, Pays de la Loire, France 1971 Book condition, Etat : Bon broché, sous couverture imprimée éditeur bleu ciel, illustrée d'une courbe orange sur le haut du plat grand In-8 1 vol. - 168 pages
quelques figures dans le texte en noir et blanc 1ere édition, 1971 Contents, Chapitres : Avant-propos, table, vi, Texte, 162 pages - 1. Calcul des probabilités : Généralités - Combinaisons de résultats - Formulation d'une loi de probabilité - Applications importantes - 2. Principales lois de probabilités : Loi binomiale - Loi hypergéométrique - Loi de Poisson - Loi normale - Autres lois - 3. Les sondages : Principes - Taille des échantillons - Estimation des paramètres - Plan de sondage couverture à peine jaunie sans gravité, sinon en bon état, intérieur frais et propre, legere pliure supérieur d'une page en début d'ouvrage, cela reste un bon exemplaire
1971 Paris, Masson, 1971, in 8° broché, 194 pages.
...................... Photos sur demande ..........................
Phone number : 04 77 32 63 69
London, Taylor and Francis, 1833. 4to. As extracted, in ""Transactions of the Cambridge Philosophical Society"", volume 4. Fine and clean. Pp. (425)-440 + 1 plates.
First appearance of Herschel's paper on transcendental equations.
GARNIER / RUE DES ECOLES. 2006. In-18. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 48 pages.. . . . Classification Dewey : 510-Mathématiques
Classification Dewey : 510-Mathématiques
GARNIER / RUE DES ECOLES. 2006. In-18. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 48 pages.. . . . Classification Dewey : 510-Mathématiques
"Collection ""Les carnets du lycée"". Classification Dewey : 510-Mathématiques"
Editions Sonzé. 1949. In-16. Broché. Etat d'usage, Couv. défraîchie, Dos fané, Papier jauni. 27+XXXVII pages. Rousseurs. Coins frottés.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
Editions Sonzé. 1950. In-16. Broché. Etat d'usage, Couv. défraîchie, Dos fané, Papier jauni. 24+XXXV pages. Rousseurs. Coins frottés. Couverture jaunie.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
Ellipses. 1982. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 144 pages. Quelques dessins monochromes dans le texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
Gölschen , Sammlung Gölschen Malicorne sur Sarthe, 72, Pays de la Loire, France 1899 Book condition, Etat : Moyen cartonné, cartonnage éditeur petit In-8 1 vol. - 165 pages
69 ein- und zweifarbigen Figuren Contents, Chapitres : Ebene Trigonometrie - Sphärische Trigonometrie - Berechnung und algebraische Anwendung der trigonometrischen Funktionen défraîchi
Leipzig, B.G. Teubner, 1906. Orig. full cloth. VIII,252 pp.
DELAGRAVE. 1982. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Pliures. 15 pages. Nombreuses figures et photos en couleurs dans le texte et hors texte. Ouvrage spécimen.. . . . Classification Dewey : 510-Mathématiques
Classification Dewey : 510-Mathématiques
DELAGRAVE. 1973. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 64 pages.. . . . Classification Dewey : 510-Mathématiques
Classification Dewey : 510-Mathématiques
DELAGRAVE. 1979. In-8. Relié. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 160 Pages. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
DELAGRAVE. 1976. In-8. Cartonné. Etat passable, Plats abîmés, Dos abîmé, Déchirures. 128 pages. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
DELAGRAVE. 1977. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 64 pages. Nombreuses illustrations en noir et blanc et en couleurs, dans le texte et hors texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
Bruxelles, Maison d'Editions Alfred Castaigne, 1903. 16 x 24, 272 pp., nombreuses figures, reliure dos toilé, bon état (1 cachet ex-propriétaire).
Berlin, Göttingen, Heidelberg, Springer-Verlag, 1963. Orig. full cloth. VIII,547 pp. Clean and fine.
Berlin, Julius Springer, 1934. Bound with orig. wrappers in contemp. full cloth. Gilt lettering to spine. IV,73,(1) pp. A mint copy. (Issued in the series ""Ergebnisse der Mathematik und ihrer Grenzgebiete...Dritter Band.""
First edition. Heyting studied under Brouwer and became the leading figure of the 'Intutionistic School' in Logic and Mathematics. His work on Intuitionism and Proof Theory - the item offered - is a concise and well written survey in which the viewpoints of intuitionism and formalism are clearly described and contrasted. (A.S. Troelstra).
DELAGRAVE. Non daté. In-12. Cartonnage d'éditeurs. Etat d'usage, Coins frottés, Dos frotté, Intérieur frais. 568 + 8 pages. Toilé vert, titres dorés.. . . . Classification Dewey : 510-Mathématiques
2e édition. Ecoles supérieures de commerce, Banque de France, professorat. Classification Dewey : 510-Mathématiques
Gauthier-Villars et cie. 1923. In-8. Broché. Etat d'usage, Couv. convenable, Dos abîmé, Papier jauni. 457 pages - coiffe en tête abîmée - étiquette collée sur le 2ème plat.. . . . Classification Dewey : 510-Mathématiques
Classification Dewey : 510-Mathématiques