Euclid and His Modern Rivals (Classic Reprint) - Couverture souple

Dodgson, Charles L. D. Bussey

9781332471072: Euclid and His Modern Rivals (Classic Reprint)

Couverture souple

ISBN 10 : 1332471072 ISBN 13 : 9781332471072

Editeur : Forgotten Books, 2018

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A clear-eyed look at geometry teaching from Euclid’s time to modern rivals, with practical insights for readers and students alike.

This edition surveys how different manuals approach proofs, parallels, and the flow of logical argument. It emphasizes teaching clarity and the balance between rigorous reasoning and engaging illustration, appealing to readers curious about the history and practice of geometry.

Compare Euclid’s methods with those of later authors and see why teaching approach matters.
Learn what to watch for in proofs, axioms, and the treatment of parallels.
Explore how diagrams, examples, and accessible language can aid beginner learners.
Read a thoughtful discussion on balancing mathematical rigor with readability.

Ideal for students and educators seeking a thoughtful take on geometry teaching.

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Pr�sentation de l'�diteur

Excerpt from Euclid and His Modern Rivals

The object of this little book is to furnish evidence, first, that it is essential, for the purpose of teaching or examining in elementary Geometry, to employ one text book only; secondly, that there are strong a priori reasons for retaining, in all its main features, and specially in its sequence and numbering of propositions and in its treatment of parallels, the Manual of Euclid; and thirdly, that no sufficient reasons have yet been shown for abandoning it in favour of any one of the modern Manuals which have been offered as substitutes.

It is presented in a dramatic form, partly because it seemed a better way of exhibiting in alternation the arguments on the two sides of the question; partly that I might feel myself at liberty to treat it in a rather lighter style than would have suited an essay, and thus to make it a little less tedious and a little more acceptable to unscientific readers.

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.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1332471072
ISBN 13: 9781332471072
Reliure: Broch�
Nombre de pages: 309
Coordonn�es du fabricant: non disponible
Personne responsable: non disponible

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Euclid and His Modern Rivals (Classic Reprint)

Charles L. Dodgson

Edit� par Forgotten Books, 2018

ISBN 10 : 1332471072 ISBN 13 : 9781332471072

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book delves into a spirited debate within the realm of mathematics education, specifically focusing on the merits and drawbacks of Euclid's Elements as a foundational text for teaching geometry. Through a unique and engaging dramatic format, the author presents a compelling argument for the continued use of Euclid's work, challenging the claims of numerous "modern rivals" who propose alternative approaches. Set against the backdrop of 19th-century advancements in mathematics and evolving pedagogical methods, the book explores the historical significance of Euclid's Elements and its enduring influence on geometric instruction. The author meticulously examines the logical structure, sequence, and clarity of Euclid's propositions, highlighting their effectiveness in cultivating rigorous thinking and problem-solving skills. Central to the discussion is the concept of parallel lines and the various axiomatic foundations upon which different geometric systems are built. The author critically assesses alternative treatments of parallels, such as those based on infinite series, angles formed with transversals, equidistance, and the notion of direction. By dissecting the strengths and weaknesses of these approaches, the book provides valuable insights into the fundamental principles of geometry and the challenges of effectively conveying them to students. Ultimately, this book champions the elegance and enduring value of Euclid's Elements as a cornerstone of geometric education. It underscores the importance of a solid foundation in classical principles for fostering a deeper understanding of mathematical concepts and their applications. 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. N� de r�f. du vendeur 9781332471072_0

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