Excerpt from The American Mathematical Monthly
To fix these ideas we proceed to the construction of the non-primitive groups of degree six which contain three systems of non-primitivity. We shall then have found all the non-primitive groups up to degree eight as no such groups can'exist for degree seven, or any other prime degree.
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of non-Euclidean geometry, a revolutionary branch of mathematics that challenged the long-held axioms of traditional geometry. It offers a unique perspective on the history of this field, tracing its development through the work of key figures like Saccheri, Lambert, Gauss, Lobachevski, and the father-son team of Bolyai Farkas and Bolyai János. The author meticulously examines the groundbreaking contributions of each of these mathematicians, highlighting their individual struggles and triumphs in attempting to prove or disprove Euclid's Fifth Postulate. The book dives deep into the thought processes of these brilliant minds, showcasing the intellectual battles that shaped the very foundation of geometric understanding. Through this historical lens, the book illuminates the inherent limitations of traditional geometric models and explores the boundless potential of non-Euclidean geometry. It serves as a testament to the power of pure reason, demonstrating how revolutionary discoveries can arise from challenging long-held assumptions. 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. Seller Inventory # 9781330020715_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330020715
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330020715
Quantity: 15 available