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Euler's formula. Leonhard Euler Euler was one of the most popular mathematicians of all time. He made important breakthroughs in fields such as calculus.

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Presentation on theme: "Euler's formula. Leonhard Euler Euler was one of the most popular mathematicians of all time. He made important breakthroughs in fields such as calculus."— Presentation transcript:

1 Euler's formula

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

3 E is a constant value that is the base of a natural logarithm. Its exact value to 20 decimal places is When differentiated or integrated the value of e to the power of x will remain the same.

4 i is 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

5 Pi is one of the most popular numbers used in mathematics, 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 , but it can be calculated to over a trillion decimal places.

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

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

8 Proof that there is a God, and that Matthew James Leech is WRONG!!!!


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