A New History of Greek Mathematics

The ancient Greeks played a significant role in the history of mathematics, and their ideas were reused and developed in subsequent periods. Reviel Netz offers a comprehensive history of Greek mathematics, exploring its Near Eastern antecedents, social and intellectual developments, and the achievements of key figures like Archytas, Euclid, and Archimedes. This is the story of a major historical development and some of the finest mathematics ever created.

Format: Hardback
Length: 540 pages
Publication date: 01 September 2022
Publisher: Cambridge University Press

The ancient Greeks played a pivotal role in the development of mathematics, and their ideas continued to influence and shape subsequent periods, including the scientific revolution. In this comprehensive history, Reviel Netz provides a sweeping account of the rise and significance of Greek mathematics. He delves into the Near Eastern antecedents that laid the foundation for the subject in Greece in the fifth century BCE. Netz leads the reader through the proofs and arguments of key figures such as Archytas, Euclid, and Archimedes, exploring the breadth and depth of their mathematical achievements. Greek mathematics encompassed not only pure mathematics but also applied fields such as optics, music, mechanics, and astronomy. This is not just a story of historical development but also of some of the finest mathematics ever created.

The Greeks' contributions to mathematics were profound and far-reaching. They introduced concepts such as algebra, geometry, trigonometry, and calculus, which laid the foundation for modern mathematics. Greek mathematicians also developed mathematical models to explain natural phenomena, such as the motion of planets and the behavior of fluids.

One of the most significant contributions of Greek mathematics was the development of the concept of proof. Greek mathematicians used logical reasoning and rigorous argumentation to prove their theories and theorems. This approach laid the foundation for the modern scientific method and has been widely adopted in fields such as physics, engineering, and computer science.

Greek mathematics also had a significant impact on the development of philosophy and science. Many of the ideas and concepts developed by Greek mathematicians were later used by philosophers such as Plato and Aristotle to explore philosophical questions about the nature of reality and the existence of God. These ideas also influenced the development of scientific theories and models, such as the heliocentric model of the solar system proposed by Copernicus.

In addition to their intellectual contributions, the Greeks also made significant advances in the field of technology. They developed mathematical models to design and build structures such as the Parthenon and the Pyramids. They also used mathematics to calculate the trajectory of projectiles and the strength of materials, which helped to improve the design and construction of weapons and tools.

Despite the many contributions of Greek mathematics, the subject did not develop in isolation. Greek mathematicians were influenced by the mathematics of other cultures, such as Babylon, Egypt, and India. They also exchanged ideas and knowledge with mathematicians from other parts of the world, such as the Arabs and the Chinese.

The legacy of Greek mathematics continues to be felt today. Many of the concepts and theories developed by Greek mathematicians are still used in modern mathematics and other fields. For example, the concept of a proof is still used in mathematics to validate the correctness of mathematical statements. The Euclidean algorithm, developed by Euclid, is still used to solve geometric problems.

In conclusion, the ancient Greeks played a fundamental role in the development of mathematics and their ideas continue to influence and shape the field today. Greek mathematics laid the foundation for modern mathematics, introduced the concept of proof, and had a significant impact on philosophy and science. The legacy of Greek mathematics is evident in the many concepts and theories that are still used in modern mathematics and other fields.

Weight: 1002g
Dimension: 160 x 234 x 34 (mm)
ISBN-13: 9781108833844