The Works of Archimedes

Descartes replaces Euclid’s static constructions with a coordinate system — a decisive shift toward modern analytic geometry.

Russell acknowledges Euclid’s influence while revealing the imprecision of classical proofs, transforming Euclid’s informal logical structure into formal symbolic logic.

Archimedes constantly references Euclid. Reading Elements helps you understand the geometric foundation on which Archimedes built.

Galileo saw himself as a modern Archimedes. This dialogue on motion and strength of materials directly inherits Archimedes’ method of reasoning and demonstrates how Archimedean mathematics became the foundation of modern physics.

Newton’s Principia represents the grand culmination of Archimedean reasoning, transforming geometric proofs into universal laws. Reading Newton after Archimedes highlights how classical geometry evolves into calculus and mechanics.

A natural continuation by the same editor — it places Archimedes within the full arc of ancient mathematics.

Offers a sweeping, readable history showing how Archimedes’ geometric reasoning leads to algebra, calculus, and modern analysis, explaining the bhe bridge from antiquity to the scientific revolution.

For a modern philosophical look at how scientific paradigms shift — from the Archimedean method to the Newtonian and beyond. Kuhn illustrates Archimedes as part of an evolving “paradigm” of exact science.