東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Hans Freudenthal, Selecta

Springer, Tonny A.,

Linked to FindBook

Google Book

Amazon

博客來

Hans Freudenthal, Selecta

Record Type:	Electronic resources : Monograph/item
Title/Author:	Hans Freudenthal, Selecta/ Tonny A. Springer, Dirk van Dalen
Author:	Springer, Tonny A.,
other author:	van Dalen, Dirk,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2009,
Description:	1 online resource (661 pages)
Subject:	History of mathematics -
Online resource:	https://doi.org/10.4171/058
Online resource:	https://www.ems-ph.org/img/books/freudenthal_mini.jpg
ISBN:	9783037195581

Hans Freudenthal, Selecta
Springer, Tonny A.,

Hans Freudenthal, Selecta[electronic resource] /Tonny A. Springer, Dirk van Dalen - Zuerich, Switzerland :European Mathematical Society Publishing House,2009 - 1 online resource (661 pages) - Heritage of European Mathematics (HEM) ;2523-5214.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Hans Freudenthal (1905-1990) was a Dutch mathematician, born in Luckenwalde, Germany. His scientific activities were of a rich variety. Enrolling at the University of Berlin as a student in the 1920s, he followed in the footsteps of his teachers, and became a topologist, but with a lively interest in group theory. Later in life, after a long journey through the realm of mathematics, working on almost all subjects that drew his interest, he turned towards the practical and methodological issues of the didactics of mathematics. The present Selecta are devoted to Freudenthal's mathematical oeuvre, they contain a selection of his major contributions. Included are fundamental contributions to topology such as the foundation of the theory of ends (in the thesis of 1931), the introduction (in 1937) of the suspension and its use in stability results for homotopy groups of spheres. In group theory there is work on topological groups (of the 1930s) and on various aspects of the theory of Lie groups, such as a paper on automorphisms of 1941. From the later work of the 1950s and 1960s, papers on geometric aspects of Lie theory (geometries associated to exceptional groups, space problems) have been included. Freudenthal's versatility is further demonstrated by a choice from his foundational and historical work: papers on intuitionistic logic and topology, a paper on axiomatic geometry reappraising Hilbert's Grundlagen, and a paper summarizing his development of Lincos, a universal ("cosmic") language. The book also contains a sketch of Freudenthal's life. Most of the selected papers are accompanied by brief comments.

ISBN: 9783037195581

Standard No.: 10.4171/058doiSubjects--Topical Terms:

3480938
History of mathematics

Hans Freudenthal, Selecta
LDR:02637nmm a22003015a 4500 001 2233199
003 CH-001817-3
005 20091109150325.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20091030sz fot ||| 0|eng d
020 $a 9783037195581
024 7 0 $a 10.4171/058 $2 doi
035 $a 108-091109
040 $a ch0018173
072 7 $a PBX $2 bicssc
084 $a 01-xx $2 msc
100 1 $a Springer, Tonny A., $e author. $3 3480968
245 1 0 $a Hans Freudenthal, Selecta $h [electronic resource] / $c Tonny A. Springer, Dirk van Dalen
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2009
300 $a 1 online resource (661 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a Heritage of European Mathematics (HEM) ; $x 2523-5214
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a Hans Freudenthal (1905-1990) was a Dutch mathematician, born in Luckenwalde, Germany. His scientific activities were of a rich variety. Enrolling at the University of Berlin as a student in the 1920s, he followed in the footsteps of his teachers, and became a topologist, but with a lively interest in group theory. Later in life, after a long journey through the realm of mathematics, working on almost all subjects that drew his interest, he turned towards the practical and methodological issues of the didactics of mathematics. The present Selecta are devoted to Freudenthal's mathematical oeuvre, they contain a selection of his major contributions. Included are fundamental contributions to topology such as the foundation of the theory of ends (in the thesis of 1931), the introduction (in 1937) of the suspension and its use in stability results for homotopy groups of spheres. In group theory there is work on topological groups (of the 1930s) and on various aspects of the theory of Lie groups, such as a paper on automorphisms of 1941. From the later work of the 1950s and 1960s, papers on geometric aspects of Lie theory (geometries associated to exceptional groups, space problems) have been included. Freudenthal's versatility is further demonstrated by a choice from his foundational and historical work: papers on intuitionistic logic and topology, a paper on axiomatic geometry reappraising Hilbert's Grundlagen, and a paper summarizing his development of Lincos, a universal ("cosmic") language. The book also contains a sketch of Freudenthal's life. Most of the selected papers are accompanied by brief comments.
650 0 7 $a History of mathematics $2 bicssc $3 3480938
650 0 7 $a History and biography $2 msc $3 3480934
700 1 $a van Dalen, Dirk, $e author. $3 3480969
856 4 0 $u https://doi.org/10.4171/058
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/freudenthal_mini.jpg