Famous Problems of Elementary Geometry: The Duplication of the Cube, the Trisection of an Angle, the Quadrature of the Circle (Classic Reprint) - Tapa blanda

Famous Problems of Elementary Geometry (Classic Reprint)

Paperback. Condición: New. Print on Demand. This book explores three famous geometric problems from ancient Greece: the duplication of the cube, the trisection of an angle, and the quadrature of the circle. For centuries, mathematicians sought solutions to these problems using only a straight edge and compass. The author, drawing upon the tools of algebra and higher analysis, reveals the intriguing truth behind these quests. He demonstrates how these problems, once thought to be solvable with such simple tools, are actually impossible to resolve in this way. The book delves into the mathematical concepts of rational and irrational numbers, and transcendental numbers, providing a clear and engaging explanation of why certain constructions are impossible. The author's discussion of Gauss's work on prime numbers and their relation to the division of the circle further illustrates the complexities and elegance of these geometrical questions. This book offers a fascinating journey into the world of ancient geometry, revealing the intricate connection between geometry and algebra and demonstrating the power of mathematical reasoning to unravel enduring mysteries. 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. Nº de ref. del artículo: 9781330117736_0

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