Overview

The mathematical essays and recreations in this volume are by one of the mostsuccessful teachers and text-book writers of Germany. The monistic constructionof arithmetic, the systematic and organic development of all its consequencesfrom a few thoroughly established principles, is quite foreign to the general run ofAmerican and English elementary text-books, and the first three essays of ProfessorSchubert will, therefore, from a logical and esthetic side, be full of suggestions forelementary mathematical teachers and students, as well as for non-mathematicalreaders. For the actual detailed development of the system of arithmetic heresketched, we may refer the reader to Professor Schubert's volume Arithmetik undAlgebra, recently published in the G]oschen-Sammlung (G]oschen, Leipsic), -an extraordinarilycheap series containing many other unique and valuable text-books inmathematics and the sciences.The remaining essays on Magic Squares, The Fourth Dimension, and TheHistory of the Squaring of the Circle, will be found to be the most complete generallyaccessible accounts in English, and to have, one and all, a distinct educationaland ethical lesson.

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