000 02284nam a22003978i 4500
001 CR9781107337145
003 UkCbUP
005 20200124160212.0
006 m|||||o||d||||||||
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008 130201s2016||||nyu o ||1 0|eng|d
020 _a9781107337145 (ebook)
020 _z9781107042599 (hardback)
020 _z9781107617315 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA248
_b.W22 2016
082 0 0 _a511.3/22
_223
100 1 _aTomkowicz, Grzegorz,
_eauthor.
245 1 4 _aThe Banach-Tarski paradox /
_cGrzegorz Tomkowicz, Stan Wagon.
250 _aSecond edition.
264 1 _aNew York :
_bCambridge University Press,
_c2016.
300 _a1 online resource (xviii, 348 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aEncyclopedia of mathematics and its applications ;
_v163
500 _aTitle from publisher's bibliographic system (viewed on 06 Jun 2016).
520 _aThe Banach-Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book unifies contemporary research on the paradox. It has been updated with many new proofs and results, and discussions of the many problems that remain unsolved. Among the new results presented are several unusual paradoxes in the hyperbolic plane, one of which involves the shapes of Escher's famous 'Angel and Devils' woodcut. A new chapter is devoted to a complete proof of the remarkable result that the circle can be squared using set theory, a problem that had been open for over sixty years.
650 0 _aBanach-Tarski paradox.
650 0 _aMeasure theory.
650 0 _aDecomposition (Mathematics)
700 1 _aWagon, S.,
_eauthor.
776 0 8 _iPrint version:
_z9781107042599
830 0 _aEncyclopedia of mathematics and its applications ;
_v163.
856 4 0 _uhttps://doi.org/10.1017/CBO9781107337145
999 _c515889
_d515887