Analysis
Explore mathematics articles on the theme of analysis.
The parabola in all its finery | Tangente
A common exercise in the days of descriptive geometry was to construct a point on a curve and its tangent. Following the ellipse, here is a short survival guide offering a handful of constructions for solving the same problem for the parabola.
Jumps in number sequences | Tangente
By playing with letters, digits and numbers, we can build sequences whose "stop" and "restart" rules reveal surprising arithmetic phenomena. It would take a clever mind indeed to fathom the jumps between successive terms!
Poets talk to us about math… and vice versa
Mathematics and poetry are two ways of making sense of the world. Worlds apart? Not quite.
A logarithm beneath the hyperbola | Tangente Magazine
Although Napier introduced them purely as an aid to calculation, logarithms gradually permeated every branch of mathematics. Their fundamental nature emerged particularly clearly through their connections with geometry, trigonometry and the hyperbola.
Logarithms in everyday life | Tangente
Logarithms are also used to establish laws that attempt to account for human subjectivity.
Logarithms come to the table | Tangente Magazine
I'm speaking of a time that those under twenty cannot know...
Jean-Pierre Kahane: A committed mathematician
Jean-Pierre Kahane, who passed away last June at the age of 90, left his mark on his era in many ways: through his work in analysis, which earned him international renown and election to the Académie des sciences; and through his commitment, both political and in the popularization of mathematics.
Pascal's triangle, programming and Fourier | Tangente
Rich in countless combinatorial and numerical properties, Pascal's triangle is ubiquitous in mathematics. Some of its applications in analysis, however, remain little known. The capabilities of the fx-CP400+E computer algebra calculator suggest a signal-processing activity.
Wavelets and file compression | Tangente
In March, Yves Meyer received the Abel Prize for "his pivotal role in the development of the mathematical theory of wavelets." Emerging in the early 1980s, the field quickly became indispensable to image processing. The JPEG 2000 compression standard is based on it.