02873nam a22003495a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001600168084001500184100003300199245009000232260008200322300003400404336002600438337002600464338003600490347002400526490005600550506006600606520165200672650003502324650003102359700003002390856003202420856007102452108-091109CH-001817-320091109150325.0a fot ||| 0|cr nn mmmmamaa091109e20091030sz fot ||| 0|eng d a978303719558170a10.4171/0582doi ach0018173 7aPBX2bicssc a01-xx2msc1 aSpringer, Tonny A.,eauthor.10aHans Freudenthal, Selectah[electronic resource] /cTonny A. Springer, Dirk van Dalen3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2009 a1 online resource (661 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aHeritage of European Mathematics (HEM) ;x2523-52141 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php 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.07aHistory of mathematics2bicssc07aHistory and biography2msc1 avan Dalen, Dirk,eauthor.40uhttps://doi.org/10.4171/058423cover imageuhttps://www.ems-ph.org/img/books/freudenthal_mini.jpg