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In Pursuit of Zeta-3 : The World's Most Mysterious Unsolved Math Problem by Paul J. Nahin (2021, Hardcover)
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Published by Princeton University Press.
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About this product
Product Identifiers
PublisherPrinceton University Press
ISBN-100691206074
ISBN-139780691206073
eBay Product ID (ePID)18050077140
Product Key Features
Number of Pages344 Pages
LanguageEnglish
Publication NameIn Pursuit of Zeta-3 : the World's Most Mysterious Unsolved Math Problem
Publication Year2021
SubjectHistory & Philosophy, General, Calculus
TypeTextbook
AuthorPaul J. Nahin
Subject AreaMathematics
FormatHardcover
Dimensions
Item Height1.1 in
Item Weight33.7 Oz
Item Length10.2 in
Item Width7 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2021-018589
Dewey Edition23
Reviews"This book will be both enjoyable and a rich source of useful as well as intriguing information to a wide range of readers." ---Michael Th. Rassias, zbMATH Open, "This book will be both enjoyable and a rich source of useful as well as intriguing information to a wide range of readers." ---Michael Th. Rassias, ZbMATH Open, "Nahin's style is entertaining, directly addressing his readers. . . . Highly recommended." ---Adhemar Bultheel, MAA Reviews
IllustratedYes
Dewey Decimal515.56
SynopsisFor 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 tantalise curious math enthusiasts everywhere. 'Nahin's style is entertaining, directly addressing his readers. . . . Highly recommended.' - Adhemar Bultheel, MAA Reviews 'This book will be both enjoyable and a rich source of useful as well as intriguing information to a wide range of readers.' - Michael Th. Rassias, zbMATH Open, 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 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., 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 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.
LC Classification NumberQA351.N34 2021
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