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

Dodgson, Charles L. D. Bussey

 
9781332471072: Euclid and His Modern Rivals (Classic Reprint)

Synopsis

A witty, thought‑provoking look at how geometry is taught. This study surveys Euclid’s geometry against modern rival manuals, blending humor with careful argument to defend the enduring value of Euclid’s approach.

In a clear, accessible voice, the book explores ideas about how geometric truth should be taught, the logic behind classic proofs, and how new methods measure up. It examines several contemporary authors and teaching methods, offering readers a concise picture of the debate and its history. The work balances light, comic moments with serious analysis, making complex topics approachable for curious readers.


  • An overview of the main debates in teaching geometry and why Euclid’s method matters.

  • Competent comparisons of classical and modern approaches to proofs and structure.

  • Insight into how authors argue for or against different axioms and techniques.

  • A heir to the tradition of critical mathematical writing, presented with wit and clarity.



Ideal for readers of mathematical history, philosophy of math, and educators seeking a brisk, engaging tour of geometry's teaching traditions.

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Présentation de l'éditeur

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

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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.

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