## 17th Century Math

**The Seventeenth-Century Mathematics of British :**

**Hero Ages of Calculus**

Characteristic of the Seventeenth-Century Mathematics
Coming upon 1600's, Europe rushed in "Science revolution" together with developing philosophy, astronomy and physics. In this century, many revelation originality came out in order. British Mathematics
John Napier and Henry Briggs are representative British mathematicians. These two men's achievement about calculation reflects the way of Englishmen's thinking. The Dawn of Modern Mathematics
The invention of logarithms: Although telescope was invented and astronomy, navigation and thigonomethy developed so rapidly, there was no accurate system of calculation. By this reason, the logarithms was invented.
-3, -2, -1, 0, 1, 2, 3, 4, 5, 6,
The sum of upper number corresponds to the multiplication of lower number.
Harriot and Oughtred: He improved on Viete's notation for powers
Galileo and Kepler: Two outstanding astronomers contributed notably to mathematics in the early part of the seventeenth century : the Italian, Galileo Galilei, and the German, Johann Kepler.
Cavalieri's Method of Indivisibles: Development of Projective Geometry
With Renaissant fine arts and architecture for a background, practical Projective geometry, different from Euclid geometry appeared. Projective geometry is a kind of geometry with which mathematicians study unchanging property except measurable elements such as length and angle to be drawn by projection.
Begnning of Probability
It is generally agreed that the one problem to which can be credited the origin of the science of probability is the so-called Appearance of Analytic Geometry
While Desargues and Pascal were opening the new field of projictive geometry, Descartes and Fermat were conceiving ideas of modern analytic geometry. The projective geometry is a 'branch' of geometry whereas the analytic geometry is a 'method' of geometry. The Exploitation of the Calculus
Unquestionably, the most remakable mathematical achievement of the period was the invention of the calculus, toward the end of the century, by lsaac Newton and Gottfried Wilhelm Leibniz. With this invention, creative mathematics passed to an advanced level, and the history of elementary mathematics essentially terminated.
Summary of Major Achievements In the 17th Cenutry |