The Thirteen Books of Euclid's Elements, Vol. 3: Translated From the Text of Heiberg, With Introduction and Commentary; Books X-XIII and Appendix (Classic Reprint) - Softcover

Euclid

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9781330231593: The Thirteen Books of Euclid's Elements, Vol. 3: Translated From the Text of Heiberg, With Introduction and Commentary; Books X-XIII and Appendix (Classic Reprint)

Synopsis

This book delves into the world of mathematics, specifically focusing on the groundbreaking work of Euclid and his exploration of irrational numbers. It offers a historical perspective on this significant discovery, attributing it to the Pythagorean school and highlighting the contributions of mathematicians like Theodorus and Theaetetus. The author meticulously examines the evolution of the concept of incommensurability, tracing its development from the Pythagorean theorem to the more general theory of proportions. The book delves into the intricacies of Euclid's classifications of irrational numbers, including binomials, apotomes, and medials, and their connection to quadratic equations. By exploring the historical context and mathematical intricacies of Euclid's work, this book sheds light on a pivotal moment in the history of mathematics. It underscores the profound impact of the discovery of irrational numbers, not only in geometry but also in the broader realm of algebra and number theory. Ultimately, the book reveals how Euclid's insights into incommensurability laid the foundation for a more comprehensive understanding of the nature of numbers and their relationships.

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Other Popular Editions of the Same Title

9780260089533: The Thirteen Books of Euclid's Elements, Vol. 3: Translated From the Text of Heiberg, With Introduction and Commentary; Books X-XIII and Appendix (Classic Reprint)

Featured Edition

ISBN 10:  0260089532 ISBN 13:  9780260089533
Publisher: Forgotten Books, 2018
Hardcover