Euler may be the most influential mathematician who ever lived (though some would make him second to Euclid); he ranks #77 on Michael Hart's famous list of the Most Influential Persons in History. His colleagues called him "Analysis Incarnate." Laplace, famous for denying credit to fellow mathematicians, once said "Read Euler: he is our master in everything." His notations and methods in many areas are in use to this day. Euler was the most prolific mathematician in history and is often judged to be the best algorist of all time. (The ranking #4 may seem too low for this supreme mathematician, but Gauss succeeded at proving several theorems which had stumped Euler.)

Just as Archimedes extended Euclid's geometry to marvelous heights, so Euler took marvelous advantage of the analysis of Newton and Leibniz: He gave the world modern trigonometry, pioneered (along with Lagrange) the calculus of variations, generalized and proved the Newton-Giraud formulae, etc. He was also supreme at discrete mathematics, inventing graph theory. He also invented the concept of generating functions; for example, letting p(n) denote the number of partitions of n, Euler found the lovely equation: Sn p(n) xn = 1 / ?k (1 - xk)

Euler was also a major figure in number theory: He proved that the sum of the reciprocals of primes less than x is approx. (ln ln x), invented the totient function and used it to generalize Fermat's Little Theorem, found both the largest then-known prime and the largest then-known perfect number, proved e to be irrational, proved that all even perfect numbers must have the Mersenne number form that Euclid had discovered 2000 years earlier, and much more. Euler was also first to prove several interesting theorems of geometry, including facts about the 9-point Feuerbach circle; relationships among a triangle's altitudes, medians, and circumscribing and inscribing circles; and an expression for a...

...LeonhardEulerEuler, Leonhard (1707-83), Swiss mathematician, whose major work was done in the
field of pure mathematics, a field that he helped to found. Euler was born in
Basel and studied at the University of Basel under the Swiss mathematician
Johann Bernoulli, obtaining his master's degree at the age of 16. In 1727, at
the invitation of Catherine I, empress of Russia, Euler became a member of the...

...LeonhardEulerLeonhardEuler, (born April 15, 1707, died Sept. 18, 1783), was the most
prolific mathematician in history. His 866 books and articles represent about
one third of the entire body of research on mathematics, theoretical physics,
and engineering mechanics published between 1726 and 1800. In pure mathematics,
he integrated Leibniz's differential calculus and Newton's method of fluxions
into mathematical analysis; refined...

...Euler and Hamiltonian Circuits
As I type this sentence millions of students all over the country are in their math class either a) struggling to open their eyelids or b) tapping their fingers due to boredom and impatience. They have all failed to understand how the topic would later come of use. Although mathematics may seem to be “unnecessary” it teaches our brains to strategize, and think differently through the use of trial and error and problem solving. Most individuals...

...LeonhardEulerLeonhardEuler was born on the fifteenth day of April in the year seventeen hundred and seven, in Basel, Switzerland. He was considered one of the best scientists, and mathematicians to ever walk on the planet earth. He created over nine hundred publications, and was a member of the prestigious Petersburg Academy of Sciences. His studies include topics on shipbuilding, acoustics, optics, astronomy, mechanics, and...

...LeonhardEuler (/ˈɔɪlər/ oil-er;[2] German pronunciation: [ˈɔʏlɐ] ( listen), local pronunciation: [ˈɔɪlr̩] ( listen); 15 April 1707 – 18 September 1783) was a pioneering Swiss mathematician and physicist. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of amathematical function.[3] He...

...LeonhardEulerLeonhardEuler (1707-1783) was born in Basel [Switzerland]. His father ... gave him his first instruction in mathematics. ... In his nineteenth year he composed a dissertation on the masting of ships, which received the second prize from the French Academy of Sciences. ... In 1735 the solving of an astronomical problem, proposed by the Academy, for which several eminent mathematicians had demanded some months' time, was...

...I. Greek Mathematicians
Thales of Miletus
Birthdate: 624 B.C.
Died: 547-546 B. C.
Nationality: Greek
Title: Regarded as “Father of Science”
Contributions:
* He is credited with the first use of deductive reasoning applied to geometry.
* Discovery that a circle is bisected by its diameter, that the base angles of an isosceles triangle are equal and that vertical angles are equal.
* Accredited with foundation of the Ionian school of Mathematics that was a...

...LeonhardEuler, a Swiss mathematics and physics genius, was born on April 15, 1707 in Basel Switzerland, and died on September 18, 1783 in Saint Petersburg. Before he died he has done many great things. He introduced mathematical notations, shorthand trigonometric functions, and the idea of function and how it is written(f(x)). He also invented the symbol pi (π) for the ratio of a circle's circumference to its diameter, the ‘e’ for the base of the natural...