||Mesopotamia (incl. Babylin) & Egypt ...
||Greece & China ...
||India & Japan...
||Irish 'Golden Age' 600-850
II (b. 1194) was Holy Roman Emperor from 1220 until 1250.
famous for his sequence (published in his Liber Abaci of 1202),
tackled the solution of a cubic equation posed by Johannes of Palermo, in
his Flos of 1225.
were involved in intrigue surrounding the general solution of a cubic
polynomial, published in Cardano's Ars Magna of 1545.
||England: Charles I & II with Oliver Cromwell in between
Europe: the glories of the Hapsburgs and of Louis XIV; securing Vienna
against the Ottoman empire ...
were rivals in what must be the greatest battle for priority in the
history of mathematics: who invented the calculus? Jacob
Bernoulli belonged to the Leibnizian tradition, as did L'Hopital
who tried to 'buy' all the latter's work. L'Hopital wrote the first
textbook on the calculus without giving due credit to Johann B - more
||Prussia's Frederick the Great ...
American & French revolutions
|Following Johann's work, Euler
made huge advances in the establishment of analysis with outstanding
original contributions to the calculus as well as pioneering work on
notation and textbooks.
||Just about everything in France ...
The British Empire dominates the world ...
Ireland's famine ...
Both Germany & Italy unite ...
|It wasn't until this century that the concept of limit was
well established with the work of Cauchy,
and others. The completeness of the real line (Dedekind,
1872) provided a rigorous understanding of how limits extend the rational
numbers to the real numbers.
emerged from determinants
algebras, via matrices,
vector spaces, fields
and much more. The dramatis personae include: Cauchy,
||Two World Wars & many others ...
Global use of millions of gadgets depending on mathematics!
Most of us were born!
|The theory of integration was developed into the 20th
century with the work of Lebesgue