L' Analysis Situs Et La Geometrie Algebrique

Name: L' Analysis Situs Et La Geometrie Algebrique
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ISBN: 9781025499369

S Lefschetz

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French

Tradd Street Press
14 February 2026

Philosophy of mathematics; Algebraic geometry; Topology; History of mathematics

Summary
Details

""L' Analysis Situs Et La Geometrie Algebrique"" est une Å""uvre fondamentale de Solomon Lefschetz qui marque un tournant décisif dans l'histoire des mathématiques modernes. Ce traité explore avec rigueur les liens profonds entre la topologie, alors nommée analysis situs, et l'étude des variétés algébriques complexes. Lefschetz y développe des concepts révolutionnaires qui permettent de comprendre la structure géométrique des objets algébriques à travers le prisme de la topologie.

L'ouvrage se concentre sur l'application de méthodes topologiques pour résoudre des problèmes classiques de géométrie, jetant ainsi les bases de ce qui deviendra la topologie algébrique contemporaine. À travers une analyse détaillée des cycles, des homologies et des intersections, l'auteur démontre comment les propriétés topologiques d'une variété influencent directement ses caractéristiques algébriques. Ce texte est essentiel pour saisir l'évolution de la géométrie au XXe siècle et demeure une référence incontournable pour les chercheurs et les étudiants avancés en mathématiques pures.

En unifiant ces deux disciplines autrefois distinctes, Lefschetz a ouvert la voie à de nouvelles perspectives théoriques, faisant de ""L' Analysis Situs Et La Geometrie Algebrique"" un pilier de la littérature scientifique classique et un témoignage de la puissance de l'abstraction mathématique.

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: S Lefschetz
Imprint: Tradd Street Press
Dimensions: Height: 234mm, Width: 156mm, Spine: 9mm
Weight: 249g
ISBN: 9781025499369
ISBN 10: 1025499360
Pages: 172
Publication Date: 14 February 2026
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active