历史与综述
In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.
We give a brief description of the Birch and Swinnerton-Dyer Conjecture which is one of the seven Clay problems.
The Multiple Intelligence Theory (MI) is one of the models that study and describe the cognitive abilities of an individual. In [7] is presented a referential system which allows to identify the Multiple Intelligences of the students of a…
This paper contains a number of letters exchanged between MM. Dollond, Short, and Euler in 1752 regarding the construction and use of various objective lenses. The final letters, authored by Euler, appear in translation for the first time.…
A comparison of the "theory of random sequences" developed during the twentieth century and the axiomatic approach of probability theory proposed by Kolmogorov shows the importance of sigma-additivity as extension tool. Similarly, the…
In the September 1994 issue of Math Horizons the following problem is given in the Problem Section (p. 33, Problem 5): Lowest Terms - what fraction has the smallest denominator in the interval (19/94, 17/76)? In this paper we develop a…
Born in Sydney, Australia, on April 20, 1939, Chris Heyde shifted his interest from sport to mathematics thanks to inspiration from a schoolteacher. After earning an M.Sc. degree from the University of Sydney and a Ph.D. from the Australian…
We will outline our ideas for teaching in the core mathematics disciplines. They are based on our own experience in teaching at a number of universities in the USA, as well as in Europe. While some of the core ideas stay and have stayed…
An elementary, albeit higher dimensional, argument is used to compute the area under the power function curve between 0 and 1.
The regularized product of the Fibonacci numbers is evaluated.
The prime analog of the Kepler-Bouwkamp constant is evaluated.
Magic squares have always been and are still fascinating for many people, be it only because of their mathematical properties. Their origin is still but certain : we find no magic squares in Greece, and only a 3x3 one in China at the…
In this paper, we are interested in the teaching of probability theory in Prague and Czechoslovakia, in particular during the 1930's. We focus specially on a textbook, published in Prague by Karel Rychlik in 1938, which uses Kolmogorov's…
Barbilian spaces are metric spaces with a metric induced by a special procedure of metrization which is inspired by the study of the models of non-Euclidean geometry. In the present material we discuss the history of Barbilian spaces and…
This is a free summary of a much longer article published in german in "Forschung Frankfurt". This article presents facts concerning the works of Max Dehn and the history of Frankfurt University. E. Hellinger, R. Moufang, C. L. Siegel, A.…
Through the pagination of an Arabian Algerian manuscript of the beginning of the 19th century, we rediscover the original shape, the "Ghubari" shape, of the numerals. Contrary to some assumptions, particularly those which claim that they…
An overview of Lanchester combat models, emphasising their pedagogical possibilities. After a description of the aimed-fire model and comments on the literature, we introduce briefly a range of further topics: a discrete equivalent, the…
We give a short proof of the well-known fact that the unit interval [0,1] is uncountable by means of a simple infinite game. We also show using this game that a (non-empty) perfect subset of [0,1] must be uncountable.
Euler states without proof statements about the form of prime divisors of numbers of the form aa+Nbb. See Ed Sandifer's How Euler Did It, ``Factors of Forms'', December 2005 at http://www.maa.org/news/howeulerdidit.html for a summary of the…
We present the English translation of the paper where one special class of Finsler spaces was introduced. Now this class is known as so called "Kropina spaces". The article was written in 1958 and published in Russian in "Trudy seminara po…