Matematica: the five books in the complete course

Five volumes for a gradual learning path through numbers and equations, functions, calculus and linear algebra. All are being prepared for publication.

Five books being prepared for publication

With Matematica — Corso completo, I have built a learning path from the fundamentals to calculus and linear algebra. The five books are being prepared for publication, with the first due to appear soon. The cards below introduce their topics; this English page does not indicate an English edition of the books.

Volume 1 · Numbers, equations and analytic geometry

The first volume is the starting point: sets, numbers and algebraic rules prepare readers for equations and analytic geometry. The aim is to rebuild the fundamentals without assuming that intermediate steps are already clear.

Volume 2 · Functions, limits and continuity

The second volume introduces functions and their main forms, from linear to exponential and trigonometric functions. It continues with limits and continuity, preparing the concepts developed in differential calculus.

Volume 3 · Derivatives and the study of functions

The derivative takes centre stage in the third volume. Theorems about continuous functions lead into differential calculus, which allows readers to study how a function changes and examine its behaviour more closely.

Volume 4 · Integrals and functions of two variables

The fourth volume continues with integrals and extends the study to functions of two variables and vectors. It connects calculus tools with new representations and problems in more than one dimension.

Volume 5 · Linear algebra and geometry

The fifth volume focuses on linear algebra and geometry. Vectors and algebraic tools complete the five-book learning path, connecting calculation with structures and geometric relationships.