國立虎尾科技大學 |

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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Richard dedekind/ by Stefan Müller-Stach.
Reminder of title:	what are and what should the numbers be? continuity and irrational numbers /
Author:	Müller-Stach, Stefan.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2024.,
Description:	x, 236 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Number theory. -
Online resource:	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:

527883
Number theory.

LC Class. No.: QA241 / .M855 2024

Dewey Class. No.: 512.7

Richard dedekind = what are and what should the numbers be? continuity and irrational numbers /
LDR:02565nam a2200349 a 4500 001 1153929
003 DE-He213
005 20241206115247.0
006 m d
007 cr nn 008maaau
008 250619s2024 gw s 0 eng d
020 $a 9783662700570 $q (electronic bk.)
020 $a 9783662700563 $q (paper)
024 7 $a 10.1007/978-3-662-70057-0 $2 doi
035 $a 978-3-662-70057-0
040 $a GP $c GP
041 1 $a eng $h ger
050 4 $a QA241 $b .M855 2024
072 7 $a PBX $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBX $2 thema
082 0 4 $a 512.7 $2 23
090 $a QA241 $b .M958 2024
100 1 $a Müller-Stach, Stefan. $3 1456882
240 1 0 $a Richard Dedekind. $l English
245 1 0 $a Richard dedekind $h [electronic resource] : $b what are and what should the numbers be? continuity and irrational numbers / $c by Stefan Müller-Stach.
260 $a Berlin, Heidelberg : $c 2024. $b Springer Berlin Heidelberg : $b Imprint: Springer,
300 $a x, 236 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Classic texts in the sciences, $x 2365-9971
505 0 $a 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.
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.
600 1 0 $a Dedekind, Richard, $d 1831-1916. $3 1481513
650 0 $a Number theory. $3 527883
650 1 4 $a History of Mathematical Sciences. $3 785417
650 2 4 $a Number Theory. $3 672023
650 2 4 $a Set Theory. $3 1388832
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Classic texts in the sciences. $3 1108174
856 4 0 $u https://doi.org/10.1007/978-3-662-70057-0
950 $a Mathematics and Statistics (SpringerNature-11649)