{"product_id":"in-pursuit-of-zeta-3-9780691247649","title":"In Pursuit of Zeta-3","description":"\u003cp\u003e\u003cb\u003eAn engrossing look at the history and importance of a centuries-old but still unanswered math problem\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eFor 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 \u003ci\u003eIn Pursuit of Zeta-3\u003c\/i\u003e, popular math writer Paul Nahin investigates the history and significance of this mathematical conundrum.\u003cbr\u003e\u003cbr\u003eDrawing 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 \u003ci\u003eMATLAB\u003c\/i\u003e code are included at the end of each of the book’s sections.\u003cbr\u003e\u003cbr\u003eDetailing the trials and tribulations of mathematicians who have approached one of the field’s great unsolved riddles, \u003ci\u003eIn Pursuit of Zeta-3\u003c\/i\u003e will tantalize curious math enthusiasts everywhere.\u003c\/p\u003e","brand":"Paul J. Nahin","offers":[{"title":"Default Title","offer_id":42959837888630,"sku":"9780691247649","price":21.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0671\/1374\/6550\/files\/CoreSourceHub_e4235b25-e983-4ed8-9c2d-13d1bef7347f.jpg?v=1767774222","url":"https:\/\/ingramacademic.com\/products\/in-pursuit-of-zeta-3-9780691247649","provider":"Ingram Academic \u0026 Professional","version":"1.0","type":"link"}