The Geometry of History; 032147658
The Gergonne -pile trick and the base counting system. (El truco de pilas de Gergonne y el sistema de numeración de base .)
The global solvability to the equations of motion of viscous gas with an artificial viscosity
The graded representations of an affine Lie algebra
The Helmholtz decomposition and the weak Neumann problem in
The Impact of Modern Mathematics on Ancient Mathematics
In a hitherto unpublished lecture, delivered in Atlanta, 1975, W.R. Knorr reflects on historical method, its sensitivity to modern work, both in mathematics and in the philosophy of mathematics. Three examples taken from the work of Tannery, Hasse, Scholz and Becker and concerning the study of pre-euclidean geometry are discussed: the mis-described discovery of irrational ‘numbers’, the alleged foundations crisis in the 5th century B.C. and the problem of constructibility.
The influence of topology to non-linear analysis
The Instruction of Euclidean Geometry with the Use of Educational Software in Multilingual Classes
The iterated version of a translative integral formula for sets of positive reach
By taking into account the work of J. Rataj and M. Zähle [Geom. Dedicata 57, 259-283 (1995; Zbl 0844.53050)], R. Schneider and W. Weil [Math. Nachr. 129, 67-80 (1986; Zbl 0602.52003)], W. Weil [Math. Z. 205, 531-549 (1990; Zbl 0705.52006)], an integral formula is obtained here by using the technique of rectifiable currents.This is an iterated version of the principal kinematic formula for sets of positive reach and generalized curvature measures.
The Lefschetz type theorem for a class of noncompact mappings
The Legendre transformation in differential spaces
The Legendre transformations on differential spaces (in the sense of Sikorski) is studied, and some properties for spaces with singularities are investigated. A mechanical interpretation of the Legendre transformation is also given.
The limit inferior of a filtered set-family as a set of limit points
The Magic World of Geometry - II. Geometry and Algebra of Braids.
The many formulae for the number of Latin rectangles.
The Martin compactification in axiomatic potential theory
The Maslov dequantization, idempotent and tropical mathematics: a brief introduction.
The maximal function of a complex measure
The method of discretization in time and partial differential equations
The method of least squares on the boundary and very weak solutions of the first biharmonic problem
The notion of -shape