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.
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