Leonhard Euler Notation Made Easier: Modern Notation BY: DuncanIS.

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Presentation transcript:

Leonhard Euler Notation Made Easier: Modern Notation BY: DuncanIS

Euler’s Works Introduced the concept of function and the notation f(x). This made it easier to denote the function f to the argument x. Introduced the letter ‘e’ to denote the base of the natural logarithm. Pioneered the use of the Σ for Summations. Set into order the use of i for imaginary units, the square root of (-1)

Works (cont’d) Uniformed the use of ‘π’, though he did not discover the ratio of circles circumfrence. Standardized Trigonometric values into familiar terms such as Sin & cosecant (csc) Cos & secant (sec) Tan & cotangent (cot) Angles A,B,C, and their sides a,b,c.

Modern Notation As a teacher of Modern Notation Leonhard will introduce the study of such symbols such as π,Σ, i, f(x) and so on. The course will review history of math and its previous notations. It will delve into the study of Newton and Leibniz, the founder of Mathematics.

Modern Notation Pt.2 Introduce the Study of the theory of functions, in particular that of Exponential Logarithmic Trigonometric Functions Study of Infinite series Negative logarithms Imaginary numbers Probing that ‘e’ is irrational.

Why Leonhard? I believe that Leonhard Euler would be the best teacher for the subject of Modern Notation, because of his publications and standardization of the symbols he is known for. He can also give an explanation to his a famed number theory in which he proposed the the equation xn+yn=zn has no solutions for n greater than 2. This study is based of the study of Pierre de Fermat.

Konigsberg Bridge One of this man’s greatest feats was in 1736 when he was able to solve the problem of the seven bridges in Konigsberg. Euler proved that was no way to find a path through the town that crosses each bridge exactly once and returns to the starting point.

Above all… He also had money in his likeness!!! It was used Switzerland. It was displayed on the Swiss 10 frank note in its 6th series.

Leonard Euler Modern Notation Modern Notation and Applications Course 1 Modern Notation Course 2 Modern Notation and Applications