Notes on the Bibliography

Since I started building Algebrica in 2023, I have collected, read, and consulted hundreds of mathematics books, university lecture notes, papers, and many other resources, both in print and digital form. My goal has always been to build a knowledge base that brings together what I consider the best explanations available for each mathematical topic.

One aspect of mathematics I appreciate most is that there is always another perspective to discover. You may spend a long time studying a subject and then find another author who has a different explanation, another proof, a useful observation, or details that are missing elsewhere. Even when a topic seems complete, there is often something else worth reading.

Over time I have accumulated a large collection of material. A significant part of the work behind Algebrica has simply been reading, comparing sources, reconciling different approaches, and trying to include as many useful ideas as possible. My objective has always been to have explanations that are complete, rigorous, clear, and accessible.

Only a very small part of this work comes from my own background as a computer engineer. Most of it comes from the extraordinary amount of high-quality material that universities, authors, and publishers have made available over the years, both freely and commercially. Without those resources, Algebrica would not exist.

The bibliography below is my attempt to reconstruct the books, lecture notes, and other references that I have consulted while writing Algebrica. I hope it can also become a useful reference for anyone looking for reliable mathematical resources to study a topic in greater depth.

Algebra and number theory

Linear algebra

Geometry

Topology

Calculus and real analysis

Complex analysis

Ordinary differential equations

Probability and statistics

Optimization

Mathematical physics

Foundations and general references

Algorithms and computation

Machine learning and artificial intelligence