Destroying sawfish-gear function

Original version one This story appeared How many magazines.

The calculation is a strong mathematical tool. However, after the invention of the 17th century, this has been a trembling foundation for hundreds of years. Its basic concepts are more than accurate, more intuition and informal evidence than official definitions.

According to the two schools of thinking appeared Michael BaranyHistory of math and science at the University of Edinburgh. French mathematicians were a great content to continue to go. The problems in the physics were more concerned with the applications of the trajectories of planets, for example, using electric currents to learn the behavior of electric currents. However, in the 19th century, German mathematicians began to demolish everything. They will shake the long-term assumptions, as a result, they used these reverse sheets to put these reverse sheets on a more stable and sustainable part.

One of these mathematicians was Carl Weiersstrassstrass. Although it shows early abilities for math, his father put him pressure on the study of the state finance and department to join the Prussian Civil Service. The university course is said to have been bored of the work of the Weiersstrass, and a lot of drinking and fencing; After the late 1830s, after failing to get a degree, he became a secondary school teacher who teaches math and physics to penmanship and gymnastics.

Weiersstrass did not start his career as a professional mathematician until the age of about 40. However, by presenting a mathematical monster, continued to change the field.

Calculation columns

In 1872, Weierstrass published a function that threatened everything they thought about the calculation of mathematicians. Especially in the mathematical giants of the French school of thinking, was greeted with indifferent, anger and fear. Henry Poinsaré condemned the ‘anger in the common sense of “weiersstrass’ function.” Charles Hermit called him “a miserable bad”.

To understand that the results of the Weiersstrass are so attractive, it first helps to understand two of the most basic concepts in the calculation area: sustainability and difference.

It is like a steady function, a function with no spaces and jumps. You can watch a way from any point in any point of another function without lifting your pen.

Calculus is in a large part of the identification of how quickly the functions are changed. Straight, conveniently speaking, convenient, conveniently, by zooming in a function with handover lines.

Illustration: Mark Belan / Guanta magazine