Non-Euclidean Geometry: Non-Euclidean Geometry: Henry Parker Manning's Comprehensive Examination of Alternative Geometries

Henry Parker Manning

Jan 2021 · Prabhat Prakashan

About this ebook

Non-Euclidean Geometry by Henry Parker Manning is a comprehensive exploration of geometrical systems that deviate from Euclidean geometry, challenging traditional notions of space, distance, and parallel lines. Manning introduces readers to the fascinating world of non-Euclidean geometries, providing insights into their development, principles, and applications.

Key Points:
Manning introduces readers to the groundbreaking works of mathematicians like Nikolai Lobachevsky, János Bolyai, and Carl Friedrich Gauss, who pioneered the development of non-Euclidean geometries, revolutionizing our understanding of geometric principles and expanding the boundaries of mathematical thought.
The book delves into the different types of non-Euclidean geometries, such as hyperbolic and elliptic geometries, presenting their distinctive properties, axioms, and geometric constructions. Manning explores the implications of these alternative geometries on concepts such as angles, triangles, and the nature of space itself.
Non-Euclidean Geometry offers readers a captivating journey into the realm of abstract mathematics, challenging preconceived notions of geometric truth and illuminating the beauty and diversity of mathematical systems. It is a valuable resource for mathematicians, students, and anyone fascinated by the profound exploration of the nature of space and geometry.

About the author

Henry Parker Manning (1854-1927) was an American theologian and philosopher. He is best known for his works on the philosophy of religion, which sought to reconcile traditional religion with modern science. He was an influential figure in the development of process theology, and his writings, such as The Nature of Religion, are still widely read today.