Algebraic analysis in Germany, 1780-1840: Some mathematical and philosophical issues
type: Item
instance of: scholarly article
title: Algebraic analysis in Germany, 1780-1840: Some mathematical and philosophical issues
zbMATH Open document ID: 0784.01007
author: Hans Niels Jahnke
published in: Historia Mathematica
publication date: 1994-04-06T00:00:00Z
review text: In 1779 C. F. Hindenburg announced the general polynomial formula which was to become the main subject of the German Combinatorial School and its adherents including Klügel, M. Ohm, Dirksen, and M. A. Stern. This formal or algebraic approach to analysis determined the reality of mathematics education at the German gymnasium during the first half of the 19th century. It was considered to be closely related to contemporary German philosophy, and served as an elementary model of pure mathematics which corresponded to W. Humboldt's pedagogical vision of mathematics as providing `allgemeingültige Anschauung'. In research papers much attention was paid to the problem how formal equality of series expressions and their numerical equality could be treated satisfactorily. Extensive bibliography.
Mathematics Subject Classification ID: 01A50
Mathematics Subject Classification ID: 05-03
Mathematics Subject Classification ID: 01A72
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 01A74
zbMATH DE Number: 468992
zbMATH Keywords: combinatorial school
zbMATH Keywords: formal series
zbMATH Keywords: Humboldt educational reform
zbMATH Keywords: Carl Friedrich Hindenburg
reviewed by: Detlef Laugwitz
MaRDI profile type: Publication
full work available at URL: hmat.1993.1023
OpenAlex ID: W2042195291
cites work: Euler's 1760 paper on divergent series
cites work: Q3272429
cites work: Q5561894
cites work: Joseph Louis Lagrange's algebraic vision of the calculus
cites work: Q3665036
cites work: Q5617618
cites work: Q1088976
cites work: Q3998971
cites work: Q4401917
cites work: Q4123278
cites work: Der Mathematiker Abraham de Moivre (1667--1754)
DOI: 10.1006/HMAT.1993.1023
description: scientific article; zbMATH DE number 468992