Computer Algebra for Concrete Mathematics

Summer Semester 2022

First lecture: Thuesday   8.3.2022   12:00 - 13:30, room: K033 C (or via Zoom if in person is not possible)

Note: March 29, May 3 and May 10 will take place in HS 8.

In this lecture basic skills and techniques will be elaborated which are relevant to simplify formulas related to enumeration, in particular, to carry out the average and worst case complexity analysis of algorithms. The content of the lecture can be summarized by the following key words:

A major emphasis of the lecture is to present the basic notions, to develop the basic ideas of the underlying algorithms and to put computer algebra into action for concrete examples.

Many of the topics discussed in the lecture can be found in the books

Requirements: Basic knowledge from analysis and linear algebra.

The lecture notes will be enhanced step wise and will be found here: LectureNotes.pdf; a supplementing Mathematica notebook can be found here.

In case that some content is unclear, feel free to contact me. I will try to answer all your questions, and will incorporate the answers also into the lecture notes.


The exercises will be stated in the lectures in form of "homeworks" and will be discussed one (or more) weeks later in the exercise class. Further details will be discussed in the lecture and exercise class. The first exercise class will take place in S3 057 on March 15.
Exercise instructor: Silviu Radu (SilviuDOTRaduATriscDOTjkuDOTat)

The posed exercises are collected in Exercises.pdf.