In Pursuit of Zeta-3 : : The World's Most Mysterious Unsolved Math Problem / / Paul J. Nahin.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2021
• VerfasserIn: Nahin, Paul J.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2021]; ©2021
• Year of Publication: 2021
• Language: English
• Physical Description: 1 online resource (344 p.) :; 23 b/w illus.

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 as...

Table of Contents

• Frontmatter
• Contents
• Preface
• CHAPTER 1 Euler’s Problem
• CHAPTER 2 More Wizard Math and the Zeta Function ζ(s)
• CHAPTER 3 Periodic Functions, Fourier Series, and the Zeta Function
• CHAPTER 4 Euler Sums, the Harmonic Series, and the Zeta Function
• Epilogue
• Appendix 1 Solving the Impossible by Changing the Rules
• Appendix 2 Evaluating ʃ0∞ e-t2dt and ʃ∞0e-pt2 -q/t2
• Appendix 3 Proof That Σ q-1 ∞ Σ∞ n-1 nǂq 1/qn(n-q)Equals Zero
• Appendix 4: Double Integration Reversal Isn’t Always Legal
• Appendix 5 Impossibility Results from Computer Science
• Challenge Problem Solutions
• Acknowledgments
• Index