Famous Problems of Elementary Geometry
Famous Problems of Elementary Geometry

Author: Felix Klein

Publisher: Courier Corporation

Published: 2003-01-01

Total Pages: 136

ISBN-13: 9780486495514

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Widely regarded as a classic of modern mathematics, this expanded version of Felix Klein's celebrated 1894 lectures uses contemporary techniques to examine three famous problems of antiquity: doubling the volume of a cube, trisecting an angle, and squaring a circle. Today's students will find this volume of particular interest in its answers to such questions as: Under what circumstances is a geometric construction possible? By what means can a geometric construction be effected? What are transcendental numbers, and how can you prove that e and pi are transcendental? The straightforward treatment requires no higher knowledge of mathematics. Unabridged reprint of the classic 1930 second edition.

Famous Problems of Elementary Geometry
Famous Problems of Elementary Geometry

Author: Felix Klein Beman

Publisher: Forgotten Books

Published: 2017-09-15

Total Pages: 102

ISBN-13: 9781528061124

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Excerpt from Famous Problems of Elementary Geometry: The Duplication of the Cube, the Trisection of an Angle, the Quadrature of the Circle AT the Gottingen meeting of the German Association for the Advancement of the Teaching of Mathematics and the Natural Sciences, Professor Felix Klein presented a discus sion of the three famous geometric problems of antiquity, - the duplication of the cube, the trisection of an angle, and the quadrature of the circle, as viewed in the light of modern research. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Ancient Tradition of Geometric Problems
The Ancient Tradition of Geometric Problems

Author: Wilbur Richard Knorr

Publisher: Courier Corporation

Published: 1993-01-01

Total Pages: 419

ISBN-13: 0486675327

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Illustrated study focuses on attempts by ancient Greeks to solve three classical problems: cube duplication, angle trisection, and circle quadrature. Origins of the study of conics, introduction of special mechanical curves, more. 1986 edition.

Infinity
Infinity

Author: Michael Heller

Publisher: Cambridge University Press

Published: 2011-02-07

Total Pages: 327

ISBN-13: 1139495569

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This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.