# "Euler's Formula: A Breakthrough in Mathematics"  "Learn about Leonhard Euler, one of the most popular mathematicians of all time, and his important breakthroughs in fields like calculus, number theory, and topology through his famous formula."

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## About "Euler's Formula: A Breakthrough in Mathematics"

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## Presentation Transcript

Slide1Euler's formula

Slide2Leonhard EulerEuler was one of the most popular mathematicians of all time. He made important breakthroughs in fields such as calculus and graph theory.

Slide3e is a constant value that is the base of a naturallogarithm. Its exact value to 20 decimal places is 2.71828 18284 59045 23536... When differentiated or integrated the value of e to the power of x will remain the same.

Slide4is an imaginary number that allows the real number system to be extended into the complex number system. It is better known as the square root of –1.  i  is one of  few values that when squared will equal negative 1

Slide5Pi is one of the most popular numbers used inmathematics, particularly when looking at circles. Its main use is showing the ratio of the circumference of a circle to its diameter. The value of pi to 20 decimal places is 3.14159 26535 89793 23846, but it can be calculated to over a trillion decimal places.

Slide6We know that:Let: We get: Since : and: We get:

Slide7The expantion of e is:Let: We get Which is: Separate to get: Because: And: We get

Slide8Proof that there is a God, and thatMatthew James Leech is WRONG!!!!

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