000			03062nam a22004455i 4500
001			978-0-85729-532-3
003			DE-He213
005			20140220083228.0
007			cr nn 008mamaa
008			110901s2012 xxk| s |||| 0|eng d
020			_a9780857295323 _9978-0-85729-532-3
024	7		_a10.1007/978-0-85729-532-3 _2doi
050		4	_aQA241-247.5
072		7	_aPBH _2bicssc
072		7	_aMAT022000 _2bisacsh
082	0	4	_a512.7 _223
100	1		_aNarkiewicz, Władysław. _eauthor.
245	1	0	_aRational Number Theory in the 20th Century _h[electronic resource] : _bFrom PNT to FLT / _cby Władysław Narkiewicz.
264		1	_aLondon : _bSpringer London, _c2012.
300			_aXIV, 654 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aThe Heritage -- The First Years -- The Twenties -- The Thirties -- The Forties and Fifties -- The Last Period -- Fermat's Last Theorem.
520			_aThe last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan. These methods were the driving force behind new advances in prime and additive number theory.  At the same time, Hecke’s resuscitation of modular forms started a whole new body of research  which culminated in the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and students in number theory, however the presentation of main results without technicalities and proofs will make this accessible to anyone with an interest in the area. Detailed references and a vast bibliography offer an excellent starting point for readers who wish to delve into specific topics.
650		0	_aMathematics.
650		0	_aNumber theory.
650	1	4	_aMathematics.
650	2	4	_aNumber Theory.
650	2	4	_aHistory of Mathematical Sciences.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780857295316
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-85729-532-3
912			_aZDB-2-SMA
999			_c100262 _d100262