Lagrange joseph louis de (15 Ergebnisse)

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Taschenbuch. Zustand: Neu. Neuware - This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the 'public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.…

Buch. Zustand: Neu. Neuware - This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the 'public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.…

Zustand: Sehr Gut. Zustandsbeschreibung: Mängelexemplar. Publiée par les soins de J.-A. Serret sous les auspice de son excellence le Ministre de l'Instruction publique. Reprint der Ausgabe Paris 1867. Enthält u. a. die umfangreicheren Arbeiten: Solution de différent problèmes de calcul intégral. Nouvelles recherches sur la nature et la propagation du son. LI,733 Seiten, Leinen (Olms Verlag 1973). Statt EUR 99,80. Gewicht: 870 g - Gebunden/Gebundene Ausgabe. …

Volume 13. 4to. 401 pp. Math figures; some uncut pages, few dog eared, marginal pencil handwriting on p. 5, probably Roger Hahn's, light foxing to preliminary pages. Original printed wrappers; mildly worn extremities. Very good.

Volume 14. 4to. 346 pp. 3 plates (1 is double-page) of manuscript letters, math figures. Disbound. Excellent reading copy: some pages uncut. As is. Contains the correspondence of Lagrange with Condorcet, Laplace, Euler and others.

Georg Olms, Hildesheim, 1973. 727 S., Leinen--- - neuwertig/ungelesen/reprografischer Nachdruck der Ausgabe Paris 1868 - 808 Gramm.

Zustand: - keine Angabe -. 1. Aufl... 8° 131 Seiten; Orig.-Pappband; 150g; [Deutsch]; kaum Gebrauchsspuren, minimale Lagerspuren 1. Auflage; Orig.-Titel: "Sur la solution des problèmes indétermindés du second degré" Aus dem Franz. übers. und hrsg. von Eugen Netto _ xXx_. BUCH.

Zustand: Befriedigend. 1. Aufl... 8° 68 Seiten mit 3 Abbildungen im Text; Orig.-Pappband; 110g; [Deutsch]; Besitzeinträge, Einband leicht fleckig 1. Auflage; _ xXx_. BUCH.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Keine ausführliche Beschreibung für 'Die Theorie der Gleichungen' verfügbar.

Zustand: gut. 1973. Oeuvres. Band I In deutscher Sprache. pages.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Keine ausführliche Beschreibung für 'Die Theorie der analytischen Functionen' verfügbar.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Keine ausführliche Beschreibung für 'Die Vorlesungen über die Functionen-Rechnung' verfügbar.

Zustand des Schutzumschlags: Hardcover. First edition. DIBNER 112: SECOND ONLY TO NEWTON'S PRINCIPIA. An exceptional volume, in a fine contemporary binding, containing the first edition of Lagrange's masterpiece, the Méchanique, "one of the outstanding landmarks in the history of both mathematics and mechanics" (Sarton, p. 470) and "perhaps the most beautiful mathematical treatise in existence, together with the corrected second printing of the Théorie, containing Lagrange's formulation of calculus in terms of infinite series, which provided the basis for Augustin-Louis Cauchy's development of complex function theory in the first decades of the next century. The Méchanique contains the discovery of the general equations of motion, the first epochal contribution to theoretical dynamics after Newton's Principia" (Evans). "Lagrange's masterpiece, the Méchanique Analitique (Paris, 1788), laid the foundations of modern mechanics, and occupies a place in the history of the subject second only to that of Newton's Principia" (Wolf). "The year 1797 . saw the appearance of the famous work of Lagrange, Théorie des fonctions analytiques . This book developed with care and completeness the characteristic definition and method in terms of 'fonctions dérivées,' based upon Taylor's series, which Lagrange had proposed in 1772 . Lagrange's Théorie des fonctions was only one, but by far the most important, of many attempts made about this time to furnish the calculus with a basis which would logically modify or supplant those given in terms of limits and infinitesimals" (Cajori). "With the appearance of the Mécanique Analytique in 1788, Lagrange proposed to reduce the theory of mechanics and the art of solving problems in that field to general formulas, the mere development of which would yield all the equations necessary for the solution of every problem . [it] united and presented from a single point of view the various principles of mechanics, demonstrated their connection and mutual dependence, and made it possible to judge their validity and scope. It is divided into two parts, statics and dynamics, each of which treats solid bodies and fluids separately. There are no diagrams. The methods presented require only analytic operations, subordinated to a regular and uniform development. Each of the four sections begins with a historical account which is a model of the kind." (DSB). "In [Méchanique Analitique] he lays down the law of virtual work, and from that one fundamental principle, by the aid of the calculus of variations, deduces the whole of mechanics, both of solids and fluids. The object of the book is to show that the subject is implicitly included in a single principle, and to give general formulae from which any particular result can be obtained. The method of generalized co-ordinates by which he obtained this result is perhaps the most brilliant result of his analysis. Instead of following the motion of each individual part of a material system, as D'Alembert and Euler had done, he showed that, if we determine its configuration by a sufficient number of variables whose number is the same as that of the degrees of freedom possessed by the system, then the kinetic and potential energies of the system can be expressed in terms of those variables, and the differential equations of motion thence deduced by simple differentiation . Amongst other minor theorems here given I may mention the proposition that the kinetic energy imparted by the given impulses to a material system under given constraints is a maximum, and the principle of least action. All the analysis is so elegant that Sir William Rowan Hamilton said the work could only be described as a 'scientific poem'" (Rouse Ball, A Short Account of the History of Mathematics). The Méchanique analitique "was certainly regarded as the most important unification of rational mechanics at the turn of the 18th century and as its 'crowning' (Dugas). This achievement of unification and the abstract-formal nature of the work, physically reflected in immediate applications, earned the extravagant praise of Ernst Mach: 'Lagrange [.] strove to dispose of all necessary considerations once and for all, including as many as possible in one formula. Every case that arises can be dealt with according to a very simple, symmetric and clearly arranged scheme [.] Lagrangian mechanics is a magnificent achievement in respect of the economy of thought' (Mach, Die Mechanik in ihrer Entwicklung, 1933, 445)" (Pulte, p. 220). "Lagrange produced the Méchanique analitique during his time in Berlin. He referred as early as 1756 and 1759 to an almost complete textbook of mechanics, now lost; a later draft first saw the light of day in 1764. But it was not until the end of 1782 that Lagrange seems to have put the textbook into an essentially complete form, and the publication of the book was delayed a further six years" (Pulte, p. 209). "By 1790 a critical attitude had developed both within mathematics and within general scientific culture. As early as 1734 Bishop George Berkeley in his work The Analyst had called attention to what he perceived as logical weaknesses in the reasonings of the calculus arising from the employment of infinitely small quantities. Although his critique was somewhat lacking in mathematical cogency, it at least stimulated writers in Britain and the Continent to explain more carefully the basic rules of the calculus. In the 1780s a growing interest in the foundations of analysis was reflected in the decisions of the academies of Berlin and Saint Petersburg to devote prize competitions to the metaphysics of the calculus and the nature of the infinite. In philosophy Immanuel Kant's Kritik der reinen Vernunft (1787) set forth a penetrating study of mathematical knowledge and initiated a new critical movement in the philosophy of science . "The full title of the Théorie explains its purpose: 'Theory of analytical functions containing the principles of the differential calculus disengaged from all consideration o.…