C. Scriba – 5000 Years of Geometry. Mathematics in History and Culture (2015)
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Автор: C. Scriba
Название книги: 5000 Years of Geometry. Mathematics in History and Culture
Формат: PDF
Жанр: Математика
Страницы: 638
Качество: Изначально компьютерное, E-book
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering.
Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries.
Описание
5000 Years of Geometry. Mathematics in History and Culture — это фундаментальный обзор развития геометрии на протяжении всей человеческой цивилизации. Книга прослеживает путь математической науки от древних цивилизаций Месопотамии, Египта и Греции до современности, показывая, как геометрические идеи влияли на культуру, архитектуру, искусство и научный прогресс.
Авторы подробно разбирают ключевые этапы: античную геометрию Евклида, вклад исламских математиков, открытия эпохи Возрождения, неевклидову геометрию XIX века и её применение в физике XX–XXI столетий. Особое внимание уделяется взаимосвязи геометрии с философией, астрономией и практическими задачами человечества.
- студентам и преподавателям математики, истории науки и философии
- специалистам, интересующимся историей математики
- читателям, которые хотят понять, как геометрия формировала мировоззрение разных эпох
- любителям научно-популярной литературы о развитии точных наук
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