Élémens d'algèbre par M. Léonard Euler, traduits de l'allemand, avec des notes et des additions.

Mode of access: Internet.

Letters of Euler to a German princess, on differnet subjects in physics and philosophy.

Mode of access: Internet.

Die platonische Zahl und einige Conjecturen zu Platon, sowie zu Lukrez.

Mode of access: Internet.

Das Deutschtum in Westpolen (Preussisch-Polen) : seine Zahl, seine Gliederung, sein Stärkeverhältnis gegenüber Polen /

Errata sheet.

Lettres de M. Euler a une princesse d'Allemagne sur différentes questions de physique et de philosopie.

Mode of access: Internet.

Letters of Euler on different subjects in natural philosophy : addressed to a German princess /

Mode of access: Internet.

Liturgisches Predigerhandbuch zur Beförderung der nöthigen Abwechselungen und einer zweckmässigen Mannigfaltigkeit in den Amtsverrichtungen der Prediger : auch erforderlicher Abänderungen nach Zeit, Ort, Personen und Umständen /

Mode of access: Internet.

Leonhard Euler's Vollstandige anleitung zur differenzial-rechnung : Aus dem lateineschen ubersetzt und mit anmerkungen und zusatzen begleitet /

Bound in marbled paper boards; brown leather shelfback and corners, stamped in gold.

Lettres d'Euler à une princesse d'Allemagne, sur divers sujets de physique et de philosophie accompagnées de l'éloge d'Euler par Condorcet;

Mode of access: Internet.

Die Begriffe Form und Zahl bei Pestalozzi im Zusammenhange mit seinen padagogischen Ideen und in ihrer Beziehung zu Kant.

Thesis (doctoral)--Kaiser-Wilhelms-Universitat Strassburg.

Operational Calculi for the Euler Operator

2000 Mathematics Subject Classification: 44A40, 44A35

Langevin dynamics, large deviations and instantons for the quasi-geostrophic model and two-dimensional Euler equations

We investigate a class of simple models for Langevin dynamics of turbulent flows, including the one-layer quasi-geostrophic equation and the two-dimensional Euler equations. Starting from a path integral representation of the transition probability, we compute the most probable fluctuation paths from one attractor to any state within its basin of attraction. We prove that such fluctuation paths are the time reversed trajectories of the relaxation paths for a corresponding dual dynamics, which are also within the framework of quasi-geostrophic Langevin dynamics. Cases with or without detailed balance are studied. We discuss a specific example for which the stationary measure displays either a second order (continuous) or a first order (discontinuous) phase transition and a tricritical point. In situations where a first order phase transition is observed, the dynamics are bistable. Then, the transition paths between two coexisting attractors are instantons (fluctuation paths from an attractor to a saddle), which are related to the relaxation paths of the corresponding dual dynamics. For this example, we show how one can analytically determine the instantons and compute the transition probabilities for rare transitions between two attractors.

Correspondências científicas como uma relação didática entre história e ensino de matemática: o exemplo das cartas de Euler a uma princesa da Alemanha

Lettres àune Princesse d'Allemagne sur divers sujets de physique et de philosophie (Letters to a Princess of Germany on various topics of physics and philosophy) is the work taken as an object of study of this thesis. It is a literary success written in the eighteenth century by the Swiss mathematician and physicist Leonhard Paul Euler (1707-1783) in order to meet a request from the Prussian king, Frederick II, the Great (1712-1786) to accept to guide the intellectual education of his niece, the young princess Anhalt-Dessau (1745-1808). The method of teaching and learning through letters elected to the education of the German monarch resulted in a collection of 234 matches in which Euler theory is about music, Philosophy, Mechanics, Optics, Astronomy, Theology and Ethics among others. The research seeks to point out mathematical content contained in this reference work based on the exploitation and adaptation of original historical works as an articulator of development activities for teaching mathematics in basic education and in accordance with the National Curriculum Parameters of Mathematics (NCP) work. The general objective point out the limits and didactic potential of Lettres à une Princesse d'Allemagne sur divers sujets de physique et de philosophie as a source of support for teachers of basic education in developing activities for teaching mathematics. The discussions raised point to concrete possibilities of entanglement between the extracted mathematical content of the bulge of the work with current teaching methodologies from resizing the use of letters according to Freire's pedagogical perspective of the correspondence, and especially the use of new communication channels in the century XXI, both aimed at dialogue and approximation between those who write and those who read.

Exterior Differential Systems and Euler-Lagrange Partial Differential Equations

The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws.