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001			108-091109
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008			091109e20091030sz fot ||| 0|eng d
020			_a9783037195581
024	7	0	_a10.4171/058 _2doi
040			_ach0018173
072		7	_aPBX _2bicssc
084			_a01-xx _2msc
100	1		_aSpringer, Tonny A., _eauthor.
245	1	0	_aHans Freudenthal, Selecta _h[electronic resource] / _cTonny A. Springer, Dirk van Dalen
260	3		_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2009
264		1	_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2009
300			_a1 online resource (661 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	0		_aHeritage of European Mathematics (HEM)
506	1		_aRestricted to subscribers: _uhttp://www.ems-ph.org/ebooks.php
520			_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.
650	0	7	_aHistory of mathematics _2bicssc
650	0	7	_aHistory and biography _2msc
700	1		_aSpringer, Tonny A., _eauthor.
700	1		_avan Dalen, Dirk, _eauthor.
856	4	0	_uhttps://doi.org/10.4171/058
856	4	2	_3cover image _uhttp://www.ems-ph.org/img/books/freudenthal_mini.jpg
942			_2EBK13786 _cEBK
999			_c50410 _d50410