- PII
- S0205-96060000616-4-1
- DOI
- 10.31857/S60000616-4-1
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 36 / Issue 4
- Pages
- 642-664
- Abstract
- The history of Rolle’s Theorem dates back to the 17th century, when Michel Rolle developed the method of cascades and the roots localization method for the solution of algebraic equations. In the 19th century, these methods provided the basis for Cauchy’s development of the concept of continuity and for Bolzano’s Theorem that initiated a reform of calculus. In modern formulations, the Rolle Theorem and the Bolzano - Cauchy Theorem express the two most important properties of continuous functions. This article explores the history of these developments in fuller detail, including important contributions by Bernard Bolzano, Augustin-Louis Cauchy, Karl Weierstrass, Georg Cantor, and Nikolai Luzin.
- Keywords
- the method of cascades, The Rolle Theorem, The Bolzano – Cauchy Theorem
- Date of publication
- 01.10.2015
- Number of purchasers
- 1
- Views
- 1102
RAS PresidiumVoprosy istorii estestvoznaniia i tekhniki
- ISSN (Print) 0205-9606
- ISSN (Online)2713-041X
FROM THE METHOD OF CASCADES TO THE STUDY OF CONTINUOUS FUNCTIONS: A HISTORICAL CHRONICLE
Индексирование
Scopus
Crossref
Higher Attestation Commission
At the Ministry of Education and Science of the Russian Federation
Scientific Electronic Library