Leçons sur les fonctions discontinues

Name: Leçons sur les fonctions discontinues
Price: 50.12 AUD
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ISBN: 9781025781785

Rene Baire

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Hardback

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French

Tradd Street Press
14 February 2026

Philosophy of mathematics; Calculus & mathematical analysis; Calculus; History of mathematics

Summary
Details

""Lecons Sur Les Functions Discontinues"" est une Å""uvre majeure de René Baire, pionnier de l'analyse mathématique. Ce texte constitue une pierre angulaire dans l'étude des fonctions d'une variable réelle et de la théorie des ensembles. Baire y développe une classification rigoureuse des fonctions discontinues, jetant ainsi les bases de ce qui deviendra la hiérarchie des classes de Baire. L'ouvrage explore avec précision les propriétés topologiques des ensembles de points et analyse les conditions sous lesquelles une fonction peut Ãatre considérée comme une limite de fonctions continues. À travers ces leçons, l'auteur introduit des concepts révolutionnaires qui ont transformé la compréhension de la continuité et de la convergence au début du XXe siècle. Les thèmes abordés incluent la nature des ensembles de première catégorie et l'application de la méthode de Baire pour résoudre des problèmes complexes d'analyse.

Indispensable pour les historiens des sciences et les mathématiciens, ""Lecons Sur Les Functions Discontinues"" offre un aperçu fascinant de la transition vers les mathématiques modernes. La clarté de l'exposition et la profondeur théorique de Baire font de cet écrit une référence classique, témoignant d'une époque de découvertes fondamentales qui continuent d'influencer la recherche contemporaine en topologie et en analyse réelle.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.

As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

By: Rene Baire
Imprint: Tradd Street Press
Dimensions: Height: 234mm, Width: 156mm, Spine: 10mm
Weight: 386g
ISBN: 9781025781785
ISBN 10: 1025781783
Pages: 148
Publication Date: 14 February 2026
Audience: General/trade , ELT Advanced
Format: Hardback
Publisher's Status: Active