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Complex numbers

Complex numbers. Definitions Conversions Arithmetic Hyperbolic Functions. If then the conjugate of , written or is . Define the imaginary number so that . If then is the real part of and is the imaginary part. Complex numbers: Definitions.

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Complex numbers

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  1. Complex numbers Definitions Conversions Arithmetic Hyperbolic Functions

  2. If then the conjugate of , written or is Define the imaginary number so that If then is the real part of and is the imaginary part Complex numbers: Definitions Argand diagram Im Re If the complex number then the Modulus of is written as and the Argument of is written as so that are shown in the Argand diagram Main page

  3. Polar to Cartesian form Exponential form Principal argument If is the principal argument of a complex number then Cartesian form (Real/Imaginary form) Cartesian to Polar form NB. You may need to add or subtract to in order that gives in the correct quadrant Polar form (Modulus/Argument form) Re Complex numbers: Forms Im Im Re Eulers formula Main page

  4. Polar/ exponential form:Mult/division If and then and De Moivres theorem Division Polar/ exponential form: Powers/ roots If then and Let and Addition/ subtraction Multiplication Equivalence Complex numbers: Arithmetic Main page

  5. Sine & Cosine Functions in Exponential form Equivalences Other Hyperbolic Functions Hyperbolic Sine & Cosine Functions Complex numbers: Hyperbolic Functions Eulers formula Main page

  6. Complex numbers That’s all folks! Main page

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