E. W. von Tschirnhaus: His role in early calculus and his work and impact on algebra
type: Item
instance of: scholarly article
title: E. W. von Tschirnhaus: His role in early calculus and his work and impact on algebra
zbMATH Open document ID: 0696.01005
DOI: 10.1016/0315-0860(90)90076-P
author: Erwin O. Kreyszig
author: M. Kracht
published in: Historia Mathematica
publication date: 1990-01-01T00:00:00Z
review text: Tschirnhaus is best known as an associate of Leibniz. The interest of this paper lies in the fact that it treats Tschirnhaus as an individual. It begins with notes on his life and association with Leibniz. This is followed by a discussion of the main subjects of his papers: catacaustics, quadrature, the Tschirnhaus transformation and his work on philosophical logic. The transformation which is named after him concerns the preliminary steps which he hoped would help in solving polynomial equations of degree \(\geq 5\). The work on philosophical logic contained some mathematics, including some novel types of curves.
reviewed by: Gordon Smith
Mathematics Subject Classification ID: 01A45
Mathematics Subject Classification ID: 26-03
Mathematics Subject Classification ID: 12-03
zbMATH DE Number: 4139691
zbMATH Keywords: calculus
zbMATH Keywords: algebra
zbMATH Keywords: catacaustics
zbMATH Keywords: Tschirnhaus transformation
zbMATH Keywords: philosophical logic
MaRDI profile type: Publication
cites work: The establishment of functional analysis
cites work: Q5338270
cites work: Q3803064
cites work: Q3727928
cites work: Aus der Frühzeit der Infinitesimalmethoden: Auseinandersetzung um die algebraische Quadratur algebraischer Kurven in der zweiten Hälfte des 17. Jahrhunderts
cites work: Q4767271
cites work: Q4693065
cites work: Q3235831
cites work: Zur Entwicklung der zentralen Ideen in der Funktionalanalysis. (Development of the central ideas in functional analysis)
cites work: Q5511374
description: scientific article; zbMATH DE number 4139691