Articles liés à Richard Dedekind: What Are and What Should the Numbers...

Richard Dedekind: What Are and What Should the Numbers Be? Continuity and Irrational Numbers - Couverture rigide

Müller-Stach, Stefan

 
9783662700563: Richard Dedekind: What Are and What Should the Numbers Be? Continuity and Irrational Numbers
Couverture rigide
ISBN 10 : 3662700565 ISBN 13 : 9783662700563
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2024

Synopsis

The two works titled "What Are and What Should the Numbers Be?" (1888) and "Continuity and Irrational Numbers" (1872) are Dedekind's contributions to the foundations of mathematics; therein, he laid the groundwork for set theory and the theory of real and natural numbers. These writings are indispensable in modern mathematics. However, Dedekind's achievements have not always been adequately acknowledged, and the content of these books is still little known to many mathematicians today.

This volume contains not only the original texts but also a detailed analysis of the two writings and an interpretation in modern language, as well as a brief biography and a transcript of the famous letter to H. Keferstein. The extensive commentary offers a fascinating insight into the life and work of Dedekind's pioneering work and relates the latter to great contemporaries such as Cantor, Dirichlet, Frege, Hilbert, Kronecker, and Riemann.

Researchers and students alike will find this work a valuable reference in the history of mathematics.

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À propos de l'auteur

Richard Dedekind (1831-1916) was one of the most significant mathematicians of the 19th century. His work had far-reaching effects on the foundations of mathematics, particularly in algebraic number theory and algebra. His contributions have influenced many other scientists up to the present day and are indispensable in mathematics.

Stefan Müller-Stach, works at the Institute of Mathematics at Johannes Gutenberg University Mainz. He specializes in arithmetic and algebraic geometry.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
2024
Langue
anglais
ISBN 10 
3662700565
ISBN 13 
9783662700563
Reliure
Relié
Nombre de pages
246
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