Personal website
of Janek Zeiger

I've always been fascinated by the hidden order behind complexity. At the heart of every computer lies a silent architecture - one built not from gears or levers, but from the quiet switching of tiny currents.

What amazed me most was that pure logic, encoded through voltages and transistors, could give rise to something so powerful. At the most fundamental level, the modern computer is not magic - it is the elegant result of countless logic gates, born from a single invention: the transistor:

The consequences for electrical engineering were revolutionary. Suddenly it was possible to build so-called logic gates that processed two inputs in a specific way. Our entire modern computer is based on these logic gate circuits. This realization fascinated me so much that I built a calculator capable of adding two 12-bit binary numbers only from transistors and resistors. If you, too, are curious how abstract logic becomes tangible computation, you'll find the full explanation in the linked article.

Together with my former classmates Leonard Simon and Moritz Schirrmacher, we wrote a 264-page book about the basics of mathematics in the in the upper school. The book is written in German and divided into two major sections. In the first section, content that we dealt with in the sixth form is explained, derived and proven in greater depth. The second section supplements the first section with areas that are not explicitly discussed in the upper secondary school. They can be far more elementary, but also far more specific.

Our book is intended to give an insight into how we perceive mathematics with our current level of knowledge. For this reason, the formality is not always in line with scientific standards, but is aimed at striking a balance between comprehensibility and accuracy. In this sense, we do not refer to this collection as specialist literature, but rather as accumulated notes.

Mathematics describes the world. Would you like to learn something about math? I have written many articles about math. There is a list of many:

Feel free to read!

Try your hand at my new Tetris in the browser. It was programmed in HTML, CSS and Javascript. The backend runs PHP, which allows you to save your personal highscore. Can you break the general one? The design is based on Java. (This game is not optimized for mobile devices.)

Craft impeccable math equations effortlessly using my $\LaTeX$ equation editor. From basic calculations to intricate symbols, the user-friendly interface empowers you to generate equations tailored to your needs. Witness your creations come to life in real time with dynamic rendering. Plus, dive into the code with the integrated code-editor. Download and seamlessly integrate equations into documents, presentations, and more.

Unlock the power of mathematical exploration!
Download my cutting-edge mathematics calculator and conquer even the most complex problems with confidence. The software combines a robust graphical function plotter with an integrated computer algebra system (CAS), giving you the tools you need to breeze through equations, solve integrals, plot functions, and more. Whether you're a student, professional, or enthusiast :)