000			02670nam a22004338i 4500
001			CR9781107445017
003			UkCbUP
005			20200124160212.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			130805s2015||||enk o ||1 0|eng|d
020			_a9781107445017 (ebook)
020			_z9781107059450 (hardback)
020			_z9781107650343 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
041	1		_aeng _hfre
050	0	0	_aQA300 _b.C45413 2015
082	0	0	_a515 _223
100	1		_aChoimet, Denis, _eauthor.
240	1	0	_aAnalyse mathématique. _lEnglish
245	1	0	_aTwelve landmarks of twentieth-century analysis / _cD. Choimet, H. Queff́́élec ; illustrated by Michaël Monerau ; translated from the French by Danièle Gibbons and Greg Gibbons.
264		1	_aCambridge : _bCambridge University Press, _c2015.
300			_a1 online resource (xv, 508 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aOriginally published in French as: Analyse mathématique. Grands théorèmes du vingtième siècle (Montrouge (Hauts-de-Seine) : Calvage et Mounet, 2009).
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThe striking theorems showcased in this book are among the most profound results of twentieth-century analysis. The authors' original approach combines rigorous mathematical proofs with commentary on the underlying ideas to provide a rich insight into these landmarks in mathematics. Results ranging from the proof of Littlewood's conjecture to the Banach-Tarski paradox have been selected for their mathematical beauty as well as educative value and historical role. Placing each theorem in historical perspective, the authors paint a coherent picture of modern analysis and its development, whilst maintaining mathematical rigour with the provision of complete proofs, alternative proofs, worked examples, and more than 150 exercises and solution hints. This edition extends the original French edition of 2009 with a new chapter on partitions, including the Hardy-Ramanujan theorem, and a significant expansion of the existing chapter on the Corona problem.
650		0	_aMathematical analysis.
650		0	_aBanach algebras.
650		0	_aHarmonic analysis.
700	1		_aQueffélec, Hervé, _eauthor.
700	1		_aMonerau, Michaël, _eillustrator.
700	1		_aGibbons, Danièle, _etranslator.
700	1		_aGibbons, Greg, _etranslator.
776	0	8	_iPrint version: _z9781107059450
856	4	0	_uhttps://doi.org/10.1017/CBO9781107445017
999			_c515963 _d515961