Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics is a book written by John Derbyshire. The book was published in 2003 and has historical aspects of mathematics. The major theme of the book revolves around the Riemann hypothesis and the history behind this hypothesis that was given by Bernhard Riemann.
Prime Obsession Pdf Review:
The book deals with a history of a notable hypothesis of mathematics. It is written in such a way that the even-numbered chapters and the odd-numbered chapters both talk about different things. The chapters that are odd numbered deal with the mathematical aspects and the ones that are even numbered talk about the historical aspects of the hypothesis and general math. The book also has details of the history of Euler, Lagrange, and another famous mathematician. At the start of the book, he portrays his ideas using a deck of cards from which he pulls the cards according to the gravitational principles.
Prime Obsession Pdf Features:
- The book has historical as well as general ideas about math.
- The author talks about series and their convergence or divergence. Thus, he comes up with the harmonic series.
- The starting chapter also has details of the prime number theorem that is widely used in math.
- The use or Zeta function for simulation of Sieve of Eratosthenes is also mentioned in the book.
Table of Contents:
- Card Trick
- The Soil, the Crop
- The Prime Number Theorem
- On the Shoulders of Giants
- Riemann’s Zeta Function
- The Great Fusion
- The Golden Key, and an Improved Prime Number Theorem
- Not Altogether Unworthy
- Domain Stretching
- Proof and a Turning Point
- Nine Zulu Queens Ruled China
- Hilbert’s Eighth Problem
- The Argument Ant and the Value Ant
- In the Grip of an Obsession
- Big Oh and Möbius Mu
- Climbing the Critical Line
- A Little Algebra
- Number Theory Meets Quantum Mechanics
- Turning the Golden Key
- The Riemann Operator and Other Approaches
- The Error Term
- Either It’s True, or Else It Isn’t
- Appendix: The Riemann Hypothesis in Song
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