‎Gelfand I.M./Fomin S.V.‎
‎Calculus of Variations‎

‎Jacques Hadamard - A Universal Mathematician , History of Mathematics, volume 14 (Analytic function theory - Number theory - Analytical mechanics and geometry - Calculus of variations and functionals - Elasticity and electrodynamics - Partial differential equations)‎

‎American Mathematical Society - AMS - London Mathematical Society , History of Mathematics Malicorne sur Sarthe, 72, Pays de la Loire, France 1998 Book condition, Etat : Très Bon hardcover, editor's printed yellow binding, illustrated by a portrait of Jacques Hadamard with a hat small In-4 1 vol. - 599 pages‎

‎1 portrait in frontispiece and numerous black and white illustrations, mainly photographies 1st edition, 1998 Contents, Chapitres : Contents, Preface and Acknowledgments, Photograph and figure credit, xxv, Text, 574 pages - 1. Hadamard's life : The beginning - The turn of the century - Mature years - After the Great War - Le Maitre - In the Thirties - World War II - After Eighty - 2. Hadamard's mathematics : Analytic function theory - Number theory - Analytical mechanics and geometry - Calculus of variations and functionals - Miscellaneous topics - Elasticity and electrodynamics - Partial differential equations - Hadamard's last works - Principal dates in Hadamard's life - Bibliography of Jacques Hadamard - Publications about Jacques Hadamard and his work - General bibliography - Archival material - Index - Jacques Salomon Hadamard, né le 8 décembre 1865 à Versailles et mort le 17 octobre 1963 à Paris, est un mathématicien français, connu pour ses travaux en théorie des nombres, en analyse complexe, en analyse fonctionnelle, en géométrie différentielle et en théorie des équations aux dérivées partielles. - Son résultat le plus célèbre est la démonstration obtenue en 1896 du théorème des nombres premiers (démontré indépendamment la même année par Charles-Jean de La Vallée Poussin). Il a aussi établi la notion de problème bien posé dans le domaine des équations différentielles. Il a laissé son nom aux matrices de Hadamard utilisées dans la transformée de Hadamard dont le champ d'application est vaste : algorithmes quantiques (porte de Hadamard), traitement du signal, compression de données, etc. ainsi qu'au développement d'une fonction méromorphe en produit de Hadamard, au produit de Hadamard de deux séries et aux variétés de Hadamard. La pseudo-transformation de Hadamard est également utilisée en cryptographie. De plus, on retrouve son nom dans le théorème de Cauchy-Hadamard, énoncé par Cauchy, mais redécouvert et popularisé par Hadamard. Ce théorème nous dit sur quel disque une série entière converge. Célèbre pour sa distraction, il aurait servi de modèle principal pour le personnage du savant Cosinus. (source : Wikipedia) spine maybe slightly sun-faded, else fine copy, no markings‎

‎Sur les Courbes Tautochrones. (and ) Nouvelles Réflexions sur les Tautochrones. - [THE CALCULUS OF VARIATIONS]‎

‎(Berlin, Haude et Spener, 1767 and Berlin, Ch. Fr. Voss, 1774). 4to. Without wrappers as issued in ""Mémoires de l'Academie Royale des Sciences et Belles Lettres"" Tome XXI, pp. 364-380 and "" Nouveau Mémoires..."", pp. 97-122.‎

‎Both first edition in the journal form. Huygens proved Geometrically in 1659 that the tautochrone was a cycloid curve. This solution was later used to attack the problem of the Brachistochrone curve. Jacob Bernoulli solved the problem by using calculus in a paper from 1690, which for the first time used the term 'integral'. Both Lagrange and Euler loked for an analytical solution to the problem. Lagrange, in the papers offered here, developed a formal calculus based on the analogy between Newton's theorem and the successive differentiations of the product of two functions. He also communicated this to Eule in a letter written in Latin slightly before the Italian publication. In a letter to D'Alembert in 1769 Lagrange confirmed that this method of maxima and minima was the first fruit of his studies - he was only 19 when he divised it - and that he regarded it as his best work.A paper by Leonhard Euler:Éclaircissement plus détailles sur La generation et Propagation du Son et sur la Formation de L'Echo"" Berlin Academy Royale 1767"" in first edition withbound.‎

‎An Elementary Treatise on the Differential Calculus, containing Aplications to Plane Curves and Surfaces, and also a Chapter on the Calculus of Variations with numerous Examples. 7th edition.‎

‎London, Longmans, Green and Cp., 1896. ‎

‎Researches in the theory of analytical transformations, with a special application to the reduction of the general equation of the second order (+) On certain theorems in the calculus of variations (+) On the integration of linear differential equatio... - [FIRST PAPERS BY BOOLE]‎

‎Cambridge, Macmillan, Barclay, and Macmillan, 1840-1846. 8vo. Bound in recent brown full cloth with gilt letting to spine. In ""The Cambridge Mathematical Journal, Vol. 1-2, Second edition"". Light writing in pencil to title page and very light miscolouring to borders of pages, otherwise a fine and clean copy. VI, 311, (1), VIII, (2), II, 284 pp. + folded plates.‎

‎First printing of four early papers by the influential British mathematician and philosopher. As the inventor of Boolean logic-the basis of modern digital computer logic-Boole is regarded in hindsight as a founder of the field of computer science. His earliest published paper was the ""Researches in the theory of analytical transformations, with a special application to the reduction of the general equation of the second order."" Printed in the Cambridge Mathematical Journal in February 1840 (Volume 2, no. 8, pp. 64-73), and it led to a friendship between Boole and D.F. Gregory, the editor of the journal, which lasted until the death of the latter in 1844.In 1840 he began to contribute to the recently founded Cambridge Mathematical Journal and also to the Royal Society, which awarded him a Royal Medal in 1844 for his papers on operators in analysis"" he was elected a fellow of the Royal Society in 1857.""In papers in the Cambridge Mathematical Journal in 1841 and 1843 [The present], Boole dealt with linear transformations. The algebraic fact had been partly perceived by Lagrange and by Gauss, but Boole's argument drew attention to the (relative) invariance of the discrimiant ab - h2, and also to the absolute invariants of the transformation. This was the starting point of the theory of invariants, so rapidly and extensively developed in the second half of the nineteenth century."" (DSB)‎