000			05594cam a2200673 i 4500
001			on1260168397
003			OCoLC
005			20220908100238.0
006			m o d
007			cr |||||||||||
008			210708s2021 njua ob 001 0 eng
010			_a 2021018590
040			_aDLC _beng _erda _epn _cDLC _dOCLCO _dOCLCF _dEBLCP _dIEEEE _dUKAHL _dN$T _dYDX _dJSTOR _dWAU _dFTB _dOCLCO
020			_a9780691227597 _qelectronic book
020			_a0691227594 _qelectronic book
020			_z9780691206073 _qhardcover
029	1		_aAU@ _b000069481600
035			_a(OCoLC)1260168397
037			_a9518309 _bIEEE
037			_a22573/ctv1m32kr4 _bJSTOR
042			_apcc
050	0	0	_aQA351 _b.N34 2021
072		7	_aMAT _x015000 _2bisacsh
072		7	_aMAT _x005000 _2bisacsh
072		7	_aMAT _x000000 _2bisacsh
072		7	_aSCI _x055000 _2bisacsh
072		7	_aTEC _x000000 _2bisacsh
082	0	0	_a515/.56 _223
084			_aMAT015000 _aTEC000000 _2bisacsh
049			_aMAIN
100	1		_aNahin, Paul J., _eauthor. _965950
245	1	0	_aIn pursuit of zeta-3 : _bthe world's most mysterious unsolved math problem / _cPaul J. Nahin.
264		1	_aPrinceton : _bPrinceton University Press, _c[2021]
300			_a1 online resource (xx, 320 pages) : _billustrations (black and white)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
504			_aIncludes bibliographical references and index.
520			_a"For centuries, mathematicians have tried, and failed, to solve the zeta-3 problem. This problem is simple in its formulation, but remains unsolved to this day, despite the attempts of some of the world's greatest mathematicians to solve it. The problem can be stated as follows: is there a simple symbolic formula for the following sum: 1+(1/2)^3+(1/3)^3+(1/4)^3+...? Although it is possible to calculate the approximate numerical value of the sum (for those interested, it's 1.20205...), there is no known symbolic expression. A symbolic formula would not only provide an exact value for the sum, but would allow for greater insight into its characteristics and properties. The answers to these questions are not of purely academic interest; the zeta-3 problem has close connections to physics, engineering, and other areas of mathematics. Zeta-3 arises in quantum electrodynamics and in number theory, for instance, and it is closely connected to the Riemann hypothesis. In In Pursuit of zeta-3, Paul Nahin turns his sharp, witty eye on the zeta-3 problem. He describes the problem's history, and provides numerous "challenge questions" to engage readers, along with Matlab code. Unlike other, similarly challenging problems, anyone with a basic mathematical background can understand the problem-making it an ideal choice for a pop math book"-- _cProvided by publisher.
520			_a"An engrossing look at the history and importance of a centuries-old but still unanswered math problemFor centuries, mathematicians the world over have tried, and failed, to solve the zeta-3 problem. Math genius Leonhard Euler attempted it in the 1700s and came up short. The straightforward puzzle considers if there exists a simple symbolic formula for the following: 1+(1/2)^3+(1/3)^3+(1/4)^3+. . . . But why is this issue-the sum of the reciprocals of the positive integers cubed-so important? With In Pursuit of Zeta-3, popular math writer Paul Nahin investigates the history and significance of this mathematical conundrum.Drawing on detailed examples, historical anecdotes, and even occasionally poetry, Nahin sheds light on the richness of the nature of zeta-3. He shows its intimate connections to the Riemann hypothesis, another mathematical mystery that has stumped mathematicians for nearly two centuries. He looks at its links with Euler's achievements and explores the modern research area of Euler sums, where zeta-3 occurs frequently. An exact solution to the zeta-3 question wouldn't simply satisfy pure mathematical interest: it would have critical ramifications for applications in physics and engineering, such as quantum electrodynamics. Challenge problems with detailed solutions and MATLAB code are included at the end of each of the book's sections.Detailing the trials and tribulations of mathematicians who have approached one of the field's great unsolved riddles, In Pursuit of Zeta-3 will tantalize curious math enthusiasts everywhere"-- _cProvided by publisher.
588			_aDescription based on print version record and CIP data provided by publisher; resource not viewed.
590			_aIEEE _bIEEE Xplore Princeton University Press eBooks Library
650		0	_aFunctions, Zeta. _965951
650		0	_aMathematics _xPhilosophy. _921296
650		6	_aFonctions z�eta. _965952
650		6	_aMath�ematiques _xPhilosophie. _964620
650		7	_aMATHEMATICS / History & Philosophy. _2bisacsh _965248
650		7	_aTECHNOLOGY & ENGINEERING / General. _2bisacsh _94900
650		7	_aFunctions, Zeta. _2fast _0(OCoLC)fst00936136 _965951
650		7	_aMathematics _xPhilosophy. _2fast _0(OCoLC)fst01012213 _921296
655		4	_aElectronic books. _93294
776	0	8	_iPrint version: _aNahin, Paul J. _tIn pursuit of zeta-3 _dPrinceton : Princeton University Press, [2021] _z9780691206073 _w(DLC) 2021018589
856	4	0	_uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9518309
938			_aAskews and Holts Library Services _bASKH _nAH39056327
938			_aProQuest Ebook Central _bEBLB _nEBL6706636
938			_aEBSCOhost _bEBSC _n2916088
942			_cEBK
994			_a92 _bINTKS
999			_c81528 _d81528