Euler: AAU Half Life Presentation

8/10/2019 Euler: AAU Half Life Presentation

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The Beethoven of Mathematics

Miliyon T.

Addis Ababa University

[email protected]

April 9, 2014

Miliyon T. (AAU) Oiler April 9, 2014 1 / 14
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Overview

1 Early Life

2 Contributions

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Some Quotes

The study of Eulers work will remain the best school for the variousfields of mathematics. And nothing will replace it.

-Gauss

Read Euler, read Euler, he is the master of us all.

-Laplace

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Early Life

Leonhard Euler

Born on 15 April 1707 in Basel Switzerland.

Raised in Riehen which is a town near basel.

He was a child Prodigy. Euler calculated without apparent effort, asmen breathe, or eagles sustain themselves in the wind.(Arago)

At the age of 13 he enrolled at the university of Basel.

At the age of 16 he received master of philosophy.

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Conti...

While he was studying philosophy, Euler had attended mathematics classof Johann Bernoulli(his fathers friend). After receiving his masters degree

in philosophy, he began his study of theology, following his fathers wishes.But Johann Persuaded Eulers father to let him study mathematics. Hisfather agreed, and that was a major turning point in Eulers life.

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Contribution

Mathematical Notations

f(x) for function, for summation,e for the base of natural logarithm, ifor imaginary number and for the ratio of the circumference a circle toits diameter.

Venn diagrams

This(Venn) Diagram was introduced by Euler for the first time. But dueto stiglers law we now call it Venn diagram honoring John Venn.

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...continued

Beautiful ResultsEuler Formula

ex = cosx+isinx

Corollary: Euler Identity

ei

+ 1 = 0

Euler Polyhedral formulaV+F = E+ 2

Basel problem

n=1

1

n2 = 1 +

1

4+

1

9+ =

2

6

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The late years of Euler

Euler spent most of his adult life in St. Petersburg ,Russia.In 1735 he became nearly blind in his right eye.

On 19 June 1741 he moved to Berlin, Prussia.

On his stay in Berlin academy he did lots of thing beside mathematics

these includes:

organizing state lotteries

advise the govt on insurance issues

supervise academys observatory and botanical garden.

In 1766 he returned to Russia at the meantime he was totally blinded.Butthat did not stop him from doing mathematics. In fact, he did more thanhalf of his lifes work while he was blind.

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Conti...

In St. Petersburg on 18 September 1783, after a lunch with his family,

during a conversation with a fellow academician about the newlydiscovered Uranus and its orbit, Euler suffered a brain hemorrhage anddied a few hours later.

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Humour

Theorem (God exists)Proof:

a+ bn

n = x

Hence God Exists!

The story goes like this....Once at the court of Catherine the Great Euler met a French philosophernamed Denis Diderot. Diderot was a convinced athiest, and was trying toconvince the Russians into athism also. Catherine was very annoyed by

this and she asked for Eulers help. Euler thought about it and when hebegan a theological discussion with Diderot, Euler said: a+b

n

n = x,

therefore God exists. Diderot was poor at mathematics and was unableto understand what Euler had said. On the next day he returned to Paris.

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References

The Genius of Euler Reflections on His Life and Work.

ww.wikipedia.org/leonhard euler

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The End

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Euler: AAU Half Life Presentation

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