Linear transformations
Starts from rotation, scaling and shear, and builds toward change of basis, eigencircles and singular value decomposition with 2x2 matrices you can still reason about by hand.
Intuitive Mathematics
Heaviside’s Dinner
Long-form notes on linear transformations, complex numbers and eigencircles, written for readers who want geometric intuition before abstraction takes over.
Interactive demo
Complex numbers
Explains Euler’s formula and complex arithmetic through geometric interpretation, with an emphasis on intuition, modelling and readable derivations rather than formalism first.
Figures and cheat sheets
Interactive GeoGebra figures and visual cheat sheets support the text, so key transformations and matrix properties stay visible instead of purely symbolic.
What makes the site distinctive
This material takes a deliberately different route: it uses pictures, movement on the plane and visual reasoning to make linear algebra and complex numbers feel concrete before the general theory is formalized.
- Eigencircles are used to reason geometrically about eigenvalues and eigenvectors.
- The main documents are now directly readable HTML pages, so they are easier to index, scrape, search and share.
- The examples stay close to 2x2 matrices and planar geometry to preserve intuition.
Nederlands
Deze website is gemaakt voor studenten en geïnteresseerde lezers die eerst inzicht zoeken. De inhoud probeert een brug te slaan tussen visuele intuïtie, concrete voorbeelden en de formele taal van de wiskunde.
- Complexe getallen en de formule van Euler worden intuïtief benaderd.
- Lineaire transformaties worden opgebouwd vanaf elementaire bewerkingen.
- Eigencirkels en figuren maken de redeneringen zichtbaar.
The material is intended to help readers who need another angle than a textbook or encyclopedia usually provides. Reactions are welcome at bart@heavisidesdinner.com.