"The Infinitesimal Calculus" by Thomas is one of the most internationally acclaimed textbooks at the undergraduate level. In this fully revised edition, the authors present a modern introduction to infinitesimal calculus, while remaining faithful to the traditional "recipe" for the book's international success: mathematically accurate, balanced between rigor and qualitative understanding of concepts, presented in a way that supports the development of mathematical maturity, without the need for memorizing formulas and repetitive procedures.

The material is presented through targeted examples with detailed explanations, accompanied by numerous exercises of varying difficulty. Many of the exercises and problems require the use of a computer for exploration and solution. The main characteristic of the book is the applied problems, which are constantly revised and enriched in the latest editions, drawing topics from physics and engineering sciences, chemistry and biology, economics and social sciences.

This new edition includes a separate chapter on second-order differential equations, which is part of the electronic supplement of the book (www.cup.gr). With the richness of the material and the flexibility provided by its structure, "The Infinitesimal Calculus" can be used in a variety of different university courses, from the most theoretical to the most applied. The instructor can choose to what extent to incorporate the optional - but substantial - computational applications into the course. In any case, the reader can only appreciate Calculus as a remarkable intellectual tool for interpretation, understanding, and management of the world that surrounds us.