Squaring the Circle (Classic Reprint): A History of the Problem - Couverture souple

Ernest William Hobson

Couverture souple

ISBN 10 : 1332432212 ISBN 13 : 9781332432219

Editeur : Forgotten Books, 2018

Synopsis

A clear, historical journey through the famous problems of the circle, from ancient ideas to modern proofs that shape how we view math today.

This concise volume traces the circle, the triangle, and the cube at the heart of mathematical history. It explains how the quadrature of the circle became a lasting test case for the growth of general mathematical science and why these problems drew both careful thinkers and curious lay readers for centuries. Readers will follow the thread from early Greek work to the Renaissance and beyond, spotting the contributions of Archimedes, Huyghens, Euler, Hermite, and others as the discipline evolves toward rigorous, final understandings.

Across chapters, the book frames the problems not only as technical puzzles but as snapshots of how mathematical methods advance. It highlights the clash between hopeful attempts at exact constructions and the eventual recognition of insurmountable limits under certain conditions, while noting the shift from visual, geometric reasoning to abstract, analytic approaches. The narrative also touches on the social side of science, including why nonexperts have pursued these questions and how mathematicians respond to such endeavors.

• How historical methods shaped the search for exact circle measures and related problems
• Key milestones and figures who pushed the understanding from geometric constructions to rigorous proofs
• The transition from classical geometry to modern mathematical analysis and transcendence theory
• Why some problems remain insoluble under specific constraints, and what that reveals about math

Ideal for readers of mathematical history who want a clear, approachable account of long-standing questions and the ideas that finally clarify them.

A propos du livre

Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1332432212
• ISBN 13: 9781332432219
• Reliure: Broché
• Nombre de pages: 71
• Coordonnées du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com; gpsr@podww.com; ; 9 Culley Court; Orton Southgate; Peterborough; Cambridgeshire; PE2 6WA; Royaume-Uni
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