LEADER 02869nam  22003975a 450 
001 9910153615003321
005 20091109150325.0
010   $a3-03719-558-4
024 70$a10.4171/058
035   $a(CKB)3710000000962491
035   $a(CH-001817-3)108-091109
035   $a(PPN)178155705
035   $a(EXLCZ)993710000000962491
100   $a20091109j20091030  fy             0
101 0 $aeng
135   $aurnn|mmmmamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aHans Freudenthal, Selecta$b[electronic resource] /$fTonny A. Springer, Dirk van Dalen
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2009
215   $a1 online resource (661 pages)
225 0 $aHeritage of European Mathematics (HEM) ;$x2523-5214
330   $aHans 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.
606   $aHistory of mathematics$2bicssc
606   $aHistory and biography$2msc
615 07$aHistory of mathematics
615 07$aHistory and biography
686   $a01-xx$2msc
700   $aSpringer$b Tonny A.$01071531
702   $avan Dalen$b Dirk
801  0$bch0018173
906   $aBOOK
912   $a9910153615003321
996   $aHans Freudenthal, Selecta$92567444
997   $aUNINA