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Richard dedekind = what are and what should the numbers be? continuity and irrational numbers /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Richard dedekind/ by Stefan Müller-Stach.
其他題名:	what are and what should the numbers be? continuity and irrational numbers /
作者:	Müller-Stach, Stefan.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2024.,
面頁冊數:	x, 236 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Set Theory. -
電子資源:	https://doi.org/10.1007/978-3-662-70057-0
ISBN:	9783662700570

Richard dedekind = what are and what should the numbers be? continuity and irrational numbers /
Müller-Stach, Stefan.

Richard dedekindwhat are and what should the numbers be? continuity and irrational numbers /[electronic resource] :by Stefan Müller-Stach. - Berlin, Heidelberg :Springer Berlin Heidelberg :2024. - x, 236 p. :ill. (some col.), digital ;24 cm. - Classic texts in the sciences,2365-9971. - Classic texts in the sciences..

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.

The two works titled "What are Numbers and What Should They 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.

ISBN: 9783662700570

Standard No.: 10.1007/978-3-662-70057-0doiSubjects--Personal Names:

1481513
Dedekind, Richard,
1831-1916.Subjects--Topical Terms:

1388832
Set Theory.

LC Class. No.: QA241 / .M855 2024

Dewey Class. No.: 512.7

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520 $a The two works titled "What are Numbers and What Should They 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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