Richard Dedekind

What Are and What Should the Numbers Be? Continuity and Irrational Numbers

AvStefan Müller-Stach

Inbunden, Engelska, 2024

Del i serien Classic Texts in the Sciences

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2024-12-07
Mått:168 x 240 x 20 mm
Vikt:597 g
Format:Inbunden
Språk:Engelska
Serie:Classic Texts in the Sciences
Antal sidor:236
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783662700563
Originaltitel:Richard Dedekind Was sind und was sollen die Zahlen? Stetigkeit und Irrationale Zahlen

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Mer om författaren

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.

Innehållsförteckning

Preface.- 1. Historical Introduction.- 2. Dedekind’s Investigations into the Concept of Number.- 3. Reprint of Dedekind’s Books.- 4. Explanation of the Texts in Today’s Language.- 5. Reception History.- 6. Impact and Positions of Research.- A Dedekind’s Publications.- B The Letter to Keferstein from February 27, 1890.- Bibliography.- Name and Subject Index.