The Reception and Revival of Euclid's Geometry
A comprehensive treatise on geometry that has had a profound impact on mathematics and science for centuries.
Geometry
Theoretical Pursuits: A Historical Examination
A historical examination of the development of theoretical pursuits in mathematics, exploring how abstract concepts found significance in various fields.
The Foundations of Geometry: Euclid's Elements
Euclid's Elements, written around 300 B.C., presents a comprehensive treatise on geometry that has had a profound impact on mathematics, science, and philosophy.
A Mathematical Exploration: The Method of Exhaustion and its Limitations
A mathematical technique used to find areas and perimeters by inscribing and circumscribing polygons with increasing sides, developed by ancient Greeks like Archimedes.
A Precise Calculation: The Method of Exhaustion and Its Significance
A mathematical technique developed by Eudoxus and refined by Archimedes that enabled precise calculations of areas and volumes, anticipating integral calculus.
The Geometrical Theory of Proportion: A New Foundation for Mathematics
A detailed history of the geometrical theory of proportion, its development by Eudoxus, and its lasting impact on mathematics.
The Development of Irrational Numbers: A Philosophical Exploration
A philosophical exploration of the development of irrational numbers, from ancient Greek mathematicians to their impact on mathematics and reality.
A Foundational Theorem in Ancient Greek Mathematics
A foundational theorem in Ancient Greek mathematics, exploring its historical context, key terms and concepts, and mechanisms and processes.
The Origins of Mathematical Inquiry
An in-depth study of the origins of mathematical inquiry, exploring its history, key figures, and contributions.
The Independence of Geometry: A Study on the Development of Euclidean Geometry
Exploring the development of Euclidean geometry, its independence from arithmetic, and the impact of incommensurable lengths on the field.
The Origins of Greek Geometry
An accessible guide to Greek geometry's origins, exploring its emergence, key figures, and contributions to mathematical knowledge.