The calculus of the trigonometric functions
type: Item
instance of: scholarly article
title: The calculus of the trigonometric functions
zbMATH Open document ID: 0649.01020
DOI: 10.1016/0315-0860(87)90064-4
author: Victor J. Katz
published in: Historia Mathematica
publication date: 1987-01-01T00:00:00Z
review text: The author points out that at the beginning of calculus there was quite a different treatment of the basic transcendental functions. Exponential and logarithmic functions have been presented from the origin while the trigonometric functions appear only 70 years later in the work of Euler in 1739. A reason for this delay could be that sine and cosine only were considered as geometric objects and that no applications of such functions have been seen. Euler recognized them as solutions of differential equations and he did ``present the first principles and reveal the highest uses in various parts of mathematics through the most impressive examples'' (cited from an abstract of a paper of Euler, published in 1754).
Mathematics Subject Classification ID: 01A50
Mathematics Subject Classification ID: 26-03
zbMATH DE Number: 4059335
zbMATH Keywords: Euler
zbMATH Keywords: differential equations
zbMATH Keywords: transcendental functions
zbMATH Keywords: logarithmic functions
reviewed by: Rudolf Fritsch
MaRDI profile type: Publication
full work available at URL: 0315-0860(87)90064-4
OpenAlex ID: W2010495825
Wikidata QID: Q29999213
cites work: Q3928309
cites work: A propos des « Opera omnia » d'Euler
cites work: Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
cites work: Q3274141
cites work: Q5332197
cites work: Q5618330
cites work: Q3548477
cites work: Q3037365
description: scientific article; zbMATH DE number 4059335