The field

* The Field: Introduction to complex numbers

** The Field: Complex numbers in Python

** Abstracting over Fields

** Field notation

** Complex numbers as points in the complex plane

** Playing with C

*** Playing with C: The absolute value of a complex number

*** Playing with C: Adding complex numbers

**** Playing with C: Adding complex numbers: Complex numbers as arrows

**** Playing with C: Adding complex numbers: Composing translations; adding arrows

*** Playing with C: Multiplying complex numbers by a positive real number

*** Playing with C: Multiplying complex numbers by a negative number

*** Playing with C: Multiplying by i: rotation by 90 degrees

*** Playing with C: The unit circle in the complex plane: argument and angle

*** Playing with C: Euler’s formula

**** Playing with C: Rotation by τ radians

* Playing with GF(2)

** GF(2) in Python

** Playing with GF(2): Encryption

*** Playing with GF(2): One-to-one and onto function and perfect secrecy

*** Perfect secrecy

** Playing with GF(2): Network coding

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