Practical usage of complex numbers

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Presentation transcript:

Practical usage of complex numbers Jiří Horáček

History Hero of Alexandria 1545 Girolamo Cardano – Ars Magna 1572 Rafeel Bombeli René Descarde – La Geometrie John Walis

What are complex numbers? Definition Algebraic form Absolute value Goniometric form Euler equation Equality of two complex numbers

Gauss plane and operations with complex numbers Adding complex numbers Subtracting complex numbers Multiplying complex numbers Dividing complex numbers Square root of complex numbers Power of complex numbers

Practical usage Chemistry Cartography Computers Electrical engineering Quantum mechanics Geophysics Geometry Mathematical analysis Electromagnetism

Thank you for your attention