000			a
999			_c30548 _d30548
008			220103b xxu||||| |||| 00| 0 eng d
020			_a9780691206073
082			_a515.56 _bNAH
100			_aNahin, Paul J.
245			_aIn pursuit of zeta-3 : the world's most mysterious unsolved math problem
260			_bPrinceton University Press, _c2021 _aPrinceton :
300			_axx, 320 p. ; _bill., _c25 cm
365			_b26.95 _cUSD _d78.20
504			_aIncludes bibliographical references and index.
520			_aFor 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.
650			_aMathematics
650			_aCalculus
650			_aFunctions, Zeta
650			_aMathematics, History & Philosophy
650			_aPhysics, General
650			_aRiemann hypothesis
650			_a Abel's summation formula
650			_aCritical line
650			_aDuplication formula
650			_a Euclid
650			_aFourier transform
650			_a Halting problem
650			_aMATLAB
650			_aGamma function
650			_aLeonhard Euler
942			_2ddc _cBK