Functions with two arguments can be visualized in three-dimensional plots. Getting this on paper or into a PDF, is a bit more challenging. We need…

A well-known classic field of mathematics is geometry. You may know Euclidean geometry from school, with constructions by compass and ruler. Math teachers may be…

Commutative diagrams can become complicated. They can have many columns, many rows, and a lot of arrow and labels. In such cases, for loops and…

In algebra, especially in category theory, we use so called commutative diagrams. Vertices denote objects such as groups or modules. Arrows represent morphisms, which are…

In a complex formula or equation, it can be useful to emphasize a specific part. We can achieve this, for example, through highlighting by color…

We will use pgfplots for a three-dimensional plot of an exponential function. We will apply a style for reduced and shifted axes, to get a…

The standard pgfplots axis environment is used for Cartesian coordinates. However, pgfplots provides also logarithmic axes and polar axes. Functions can also be defined in…

We plot a sine function with PGFplots, similar to: http://latex-cookbook.net/cookbook/examples/grid-plot/ While a grid and a lot of ticks can be useful to inspect specific values…

We will plot a sine function with PGFplots. A default pgfplots axis will be rectangular box that contains the plot. Let’s look at this. In…