Math

Euler’s Formula Derivation

Menu (linked Index) Euler’s Formula Derivation Last Update: December 12, 2024  Introduction The Derivative Derivative Rules Derivatives of Useful Functions Taylor and Maclaurin Power Series Euler Formula Derivation  Summary of the Derivation Conclusion Appendix 1 – Graphical meaning of (x-a) Appendix 2 – Full Derivation of Taylor and Maclaurin Power Series  Appendix 3 – Unit […]

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Euler's Number as Infinite Series 2

Euler’s Number

Menu (linked Index) Euler’s Number Last Update: December 11, 2024 Introduction What is e e History Outline e Definition As A Limit Derivation of the Continuous Compounding Equation e Definition as an Infinite Series Summation Unique Properties of e Conclusion Introduction In this article we’ll describe and define Euler’s constant e, which is a non

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Complex Number z = a + bi icon

Complex Numbers

Menu (linked Index) Complex Numbers Last Update: November 29, 2024 Introduction Multiplying by -1 The Imaginary Unit i Multiplying by i  Complex Numbers and Complex Plane Multiplying by i in the Complex Plane Polar / Trigonometric Form of a Complex Number Polar / Exponential Form of a Complex Number Euler’s Formula is All about Rotation

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Complex Number z = a + bi icon

Complex Number Math

Menu (linked Index) Complex Number Math Last Update: December 5, 2024 Introduction Complex Number Addition Complex Number Subtraction Complex Number Multiplication Introduction In this post,  we’ll see how addition, subtraction , and multiplication of Complex Numbers can be shown geometrically in the Complex Plane. This will help visualize what is going on with these math

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