Most of his work has connections to '_p-adic fields, exotic extensions of the ordinary number system that are useful tools for studying prime numbers. Akshay Venkatesh, who is 36, works on, among ...other things, classical problems in number theory, including number systems that consist of fractions of whole numbers and roots such as V2. Figalli, who is Italian and works at the Swiss Federal Institute of Technology in Zurich, applies the field to partial differential equations, which have several variables and most often arise in physics.
Nearly 2300 years ago, the Greek mathematician Euclid of Alexandria laid down the basis of the geometry now known from the textbooks and used in everyday life ...
Data analysis still is about information, insights, and conclusions. Data is used to tell a story; analytical thinking is required in the evaluation of the relationship between data and conclusions. ...In regard to that evaluation, the three big challenges, in order of importance, have been and will continue to be overstating statistical significance; lack of reproducibility; and the avoidance of providing exact answers, but to the wrong questions. Here, Bartmann discusses the big problems with data analyses.
Carl Friedrich Gauss is often given credit for providing the first correct proof of the fundamental theorem of algebra in his 1799 doctoral dissertation. However, Gauss’s proof contained a ...significant gap. In this paper, we give an elementary way of filling the gap in Gauss’s proof.
Carl Friedrich Gauss (1777–1855) was one of the most eminent
scientists of all time. He was born in Brunswick, studied in Göttingen, passed his doctoral examination in Helmstedt, and from 1807 until ...his death, was the director of the Göttingen Astronomical Observatory. As a professor of astronomy, he worked in the fields of astronomy, mathematics, geodesy, and physics, where he made world-famous and lasting contributions. In his honour, and to preserve his memory, the Gauss Society was founded in Göttingen in 1962. The present paper aims to give nonspecialists a brief introduction into the life of Gauss and an introduction into the Gauss Society and its history.
Die Abhandlungen der Akademie der Wissenschaften zu Göttingen sind das wichtigste wissenschaftliche Publikationsorgan der Göttinger Akademie. In dieser Reihe veröffentlichen vor allem die ...Akademiemitglieder und Mitarbeiter an den Forschungsunternehmen der Akademie die Ergebnisse ihrer Forschungen aus dem gesamten Bereich der Geisteswissenschaften und der Naturwissenschaften.
Mathematicians use the word 'deep' to convey a high appreciation of a concept, theorem, or proof. This paper investigates the extent to which the term can be said to have an objective character by ...examining its first use in mathematics. It was a consequence of Gauss's work on number theory and the agreement among his successors that specific parts of Gauss's work were deep, on grounds that indicate that depth was a structural feature of mathematics for them. In contrast, French mathematicians had a less structural, more problem-oriented approach to mathematics and did not speak of depth so readily.
In 1832, Gauss made the first absolute measurements of magnetic fields and of magnetic moments in experiments that are straightforward and instructive to replicate. We show, using rare-earth ...permanent magnets and a variation of Gauss's technique, that the horizontal component of the ambient geomagnetic field, as well as the size of the magnetic moments of such magnets, can be found. The method shows the connection between the SI and cgs emu unit systems for these quantities and permits an absolute realization of the Ampere with considerable precision.
This volume examines the special relationship between Russia and Gauss. It documents and describes the important role that Gauss played for science in Russia from the start of career onwards, as well ...as the great significance of Russia in Gauss scientific work. The authors profile 17 scientists who worked in Russia and which whom Gauss corresponded and also often collaborated directly. The examination of the Gauss Library in Göttingen should be of particular interest, since it contains the Rossica and works sent to Gauss from Russia. The volume focuses on the period from 1799 until Gauss death in 1855. Karin Reich (em.) und Elena Roussanova, beide ehemals Institut für Geschichte der Naturwissenschaft, Mathematik und Technik an der Universität Hamburg.
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