Complex Numbers / essentials (PDF)

This Springer essential is a translation of the original German 1^st edition essentials Komplexe Zahlen by Jörg Kortemeyer, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

• Introduction and discussion of the three representations of complex numbers: Cartesian representation, polar representation, Euler representation
• Elaboration of essential basics and extension of these for dealing with complex numbers
• Supporting thematization of the view as well as the potentials of representation changes
• Pointing out of deepenings as connection points to the further topics from basic lectures on mathematics

• Students of engineering and natural sciences for a closer examination of the topic; STEM freshmen before entering university for the development of their school knowledge with regard to a successful entry into university.
• Students who want to independently explore a topic outside the school curriculum that has many connections to familiar school content.