Isbn: 9780282360191 - selected topics in non-euclidean geometry: a thesis submitted in partial fulfillment of the requirements for the degree of master of science, kansas state agricultural college (classic reprint) (3 Ergebnisse)

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Paperback. Zustand: New. Print on Demand. This book explores non-Euclidean geometry, a fascinating branch of mathematics that challenges the axioms of traditional Euclidean geometry. The author presents two non-Euclidean systems developed by 19th-century mathematicians Lobachevsky and Riemann, introducing readers to the concept of alternative geometric realities where parallel lines can intersect and angles can exceed 180 degrees. Through clear explanations and engaging examples, this book provides a comprehensive understanding of non-Euclidean geometry's history, its impact on mathematics, and its implications for our perception of space and reality. It delves into the philosophical implications of these alternative geometric systems, raising questions about the nature of our physical world and the limits of human knowledge. Ultimately, this book demonstrates how non-Euclidean geometry has expanded our understanding of the universe, offering a glimpse into alternative ways of conceiving and describing the world around us. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. …