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Interactive film · Mathematics · Complex numbers

Prof. Dr. Dirk Schieborn

Engineering Mathematics 2 · Reutlingen University

Lecture film · Engineering Mathematics 2

Complex Numbers up to Euler’s Formula

Lecture film · Engineering Mathematics 2

Complex Numbers up to Euler’s Formula

Prof. Dr. Dirk Schieborn

Engineering Mathematics 2 · Reutlingen University

A complex number is a point with a length and an angle. When you multiply, the lengths multiply and the angles add. Euler’s formula explains why.

heyprof.app/f/komplexe-zahlen

More films: Signature · Prof. Dr. Dirk Schieborn

Chapter 1 · One more number

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About the film

Complex Numbers up to Euler’s Formula

An explainer film in four chapters, made from a real lecture: why we need the number i, how to read complex numbers as points with length and angle, what happens when you add and multiply them, and how Euler’s formula explains multiplication. Pause anywhere and ask.

A film you can ask questions.

  • Pause wherever you like — click the picture or press the space bar.
  • Pick one of the prepared questions about this very moment or ask your own. Without an account you get five questions per visit.
  • The answer comes inside the film: with voice, subtitles and the app as the stage. Then the film continues where you left off.
  • Every chapter runs in a real heyprof app. “Try the app yourself” lets you use it hands-on.

Keys: space pause · ← → previous/next sentence · M sound · F fullscreen · ? question