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An engrossing look at the history and importance of a centuries-old but still unanswered math problem
For 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
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Book ID Asin: 0691247641
Book Title: In Pursuit of Zeta-3: The World's Most Mysterious Unsolved Math Problem
Book Author: Paul J. Nahin
Book Format and Price:
Book Format Name: Kindle
Book Format Price: $13.17
Book Format Name: Hardcover
Book Format Price: $21.49
Book Format Name: Paperback
Book Format Price: $21.49
Book Price: $21.49
Book Category: Books, Science & Math, Mathematics and unknown
Book Rating: 42 ratings
In Pursuit of Zeta-3: The World's Most Mysterious Unsolved Math Problem by Paul J. Nahin Book Review
Name: vic dannon
Rating: 5.0 out of 5 stars
Title: packed with interesting mathematics of Euler
Date: Reviewed in the United States 🇺🇸 on November 11, 2022
Review: A lot of interesting mathematics written clearly to be found in this book. It may be the best book written by Pauln Nahin. Although all his books are very good.
As for Euler pursuit of equality of zeta(3) to pi-cubed times an algebraic number, that was recently resolved in "All the Pi-Cubed Series and the Zeta(3) Series"
Name: John Anderson
Rating: 5.0 out of 5 stars
Title: The sorcerer's apprentice of series calculations.
Date: Reviewed in the United States 🇺🇸 on July 2, 2022
Review: The concentration required to read Nahin's books takes me out of daily concerns and therefore relaxes me.
I got interested in this topic after reading "Gamma" by Julian Havil years ago. As with that book, Nahin's absolute love of a subject shines through. I was amazed by how clean and free of typos this book is given the number pages of cumbersome math notation. Nahin methodically steps through his calculations and I remember enough from college to understand him. I admit that I don't always understand WHY he made a particular change of variable, but given that choice, the results follow. And it is almost magical how complicated integrals of infinite series can be collapsed to some multiple of pi by skilled and creative "symbol pushing".
The problem of zeta-3 remains open. If it is ever answered, I wouldn't be surprised if it links some unrelated branches of math, like Feigenbaum constants and fractals with Euler sums.
Name: Darrell Plank
Rating: 5.0 out of 5 stars
Title: Review plus errata
Date: Reviewed in the United States 🇺🇸 on April 7, 2022
Review: I really love this author and pretty much every book he writes including this one. They’re all filled with fascinating math and physics and he’s not afraid to put in equations and a bit of calculus which explains not only that these things are true but let’s you understand why they’re true. If you love math and you’re not afraid of a bit of calculus and some equations I highly recommend it. I also have a small errata to add which I’d prefer not to do here but I can find no other place to report it. On p. 96 in eq. 1.74 I believe n should be raised to the (x-1) power instead of to the x power.
Name: C. Gelmi
Rating: 5.0 out of 5 stars
Title: A fascinating intellectual journey!
Date: Reviewed in the United States 🇺🇸 on January 17, 2022
Review: Zeta-3 is part of the family of problems that are easy to understand -but as yet- extremly hard (or impossible?) to solve. This is a book to quietly taste and enjoy, learning multiple aspects of this intriguing problem (and associated topics...including the Reimann Hypothesis), both historical and technical. Be prepared to dive deep in the mathematics kingdom...
Thank you so much for delighting the curious math enthusiasts, such as myself! Now I wonder, what other topics will Dr. Nahin surprise us with? Thanks once more, for another fascinating book!
Name: Stephen E. Goll
Rating: 5.0 out of 5 stars
Title: What this is about...
Date: Reviewed in the United States 🇺🇸 on July 21, 2022
Review: Liked the Info compeletely...
Name: Math Teacher
Rating: 5.0 out of 5 stars
Title: Wades fearlessly into the pool of mathematics
Date: Reviewed in the United States 🇺🇸 on November 19, 2021
Review: It is important to read the preface to this book. Professor Nahin plays fair and describes what’s needed to continue on. But if you have what is described as “mathematical maturity“ and if you like a well- told story then you will enjoy this book. Caveat emptor. This is his most mathematical book to date.
Name: Michael Anshel
Rating: 5.0 out of 5 stars
Title: The book requires a strong mathematical background.
Date: Reviewed in the United States 🇺🇸 on January 15, 2022
Review: The historical perspective is quite important.
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