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When did euler show that e raised to pi times imagenary number plus one equals zero?
Wiki User
∙ 10y ago
The answer to this question is more complicated than might appear. First, Euler's formula, eix = cosx + i*sinx was known before Euler. For example Cotes discovered that ln(cosx + isinx) = ix. Taking natural antilogs gives Euler's formula. Cotes published in 1714 when Euler was aged only 7.
Second, there is no record that shows that Euler simplified his formula and derived the identity that bears his name.
Having said all that, Euler "discovered" the formula in 1740 and published its proof in 1748.
Incidentally, I consider it to be the most beautiful formula EVER.
Wiki User
∙ 10y ago
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What states that the number of edges equals the number of faces plus number of vertices-2?
The Euler characteristic.
What is the number e?
It is Euler's number which is the base of natural logarithms.
What does e raised to the i times pi equal?
-1. This is a result of Euler's formula.
Whom is the number e named?
e isn't a number, its a mathematical constant. It is sometimes called Euler's number after the mathematician Leonhard Euler.
Who discovered e in maths?
Euler's numberThe mathematical constant 'e' (base of the natural logarithm) was discovered by Leonhard Euler. Which explains why the number 'e' is sometimes referred to as Euler's number (not Euler's constant, which is a completely different thing).Euler did not discover e although many believe he did. Roger Cotes discovered e.
Why is Euler's formula important?
Euler's formula is important because it relates famous constants, such as pi, zero, Euler's number 'e', and an imaginary number 'i' in one equation. The formula is (e raised to the i times pi) plus 1 equals 0.
What states that the number of edges equals the number of faces plus number of vertices-2?
The Euler characteristic.
What is Leonard Euler's nationality?
Leonhard Euler was of Swiss decent. He was born and raised around Basel, Switzerland. Euler lived most of his life in Switzerland and Russia with some time in Prussia.
What is the number e?
It is Euler's number which is the base of natural logarithms.
What does e raised to the i times pi equal?
-1. This is a result of Euler's formula.
Whom is the number e named?
e isn't a number, its a mathematical constant. It is sometimes called Euler's number after the mathematician Leonhard Euler.
Why is it that e to the power of i pi equals -1?
Because Euler proved it! (No, I can't!)
Who discovered e in maths?
Euler's numberThe mathematical constant 'e' (base of the natural logarithm) was discovered by Leonhard Euler. Which explains why the number 'e' is sometimes referred to as Euler's number (not Euler's constant, which is a completely different thing).Euler did not discover e although many believe he did. Roger Cotes discovered e.
How do you do the Euler questions?
Euler was a prolific mathematician who answered a large number of questions. You will need to be more specific.
If faces plus edges equals vertices plus what number follows?
There is no answer to the question as it appears. Faces + Vertices = Edges + 2 (The Euler characteristic of simply connected polyhedra).
Who formulated eix equals cos x plus you sin x?
leonhard euler
Who came up with face plus verticies minus edges equals 2?
Euler
