  Chapters 1 to 4 are the lecture notes of my course "Real Algebraic Geometry
I" from the winter term 2020/2021. Chapters 5 to 8 are the lecture notes of its
continuation "Real Algebraic Geometry II" from the summer term 2021. Chapters 9
and 10 are the lecture notes of its further continuation "Geometry of Linear
Matrix Inequalities" from the winter term 2021/2022. These courses have been
delivered at the University of Konstanz in Southern Germany. The entirety of
these lecture notes is accompanied by a list of 47 long videos which is
available from the following YouTube playlist:
https://youtube.com/playlist?list=PLbQ93L5pV-a_RRwdEgGungHn5rN43BGe7
