Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in MathematicsJoseph Henry Press, 15 de abr. de 2003 - 446 páginas In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark â€" a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? |
Conteúdo
2The Soil the Crop | |
The Prime Number Theorem | |
On the Shoulders of Giants | |
Riemanns Zeta Function | |
6The Great Fusion | |
The Golden Key and an Improved Prime Number Theorem | |
In the Grip of an Obsession | |
Big Oh and Möbius | |
Climbing the Critical Line | |
A Little Algebra | |
Number Theory Meets Quantum Mechanics | |
Turning the Golden | |
The Riemann Operator and Other Approaches | |
21The Error Term | |
Not Altogether Unworthy | |
Domain Stretching | |
A Proof and a Turning Point | |
The Riemann Hypothesis | |
Nine Zulu Queens Ruled China | |
Hilberts Eighth Problem | |
The Argument Ant and the Value | |
Either Its True or Else It Isnt | |
Epilogue | |
Notes | |
The Riemann Hypothesis in Song | |
Picture Credits | |
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Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in ... John Derbyshire Visualização parcial - 2003 |
Prime Obsession: Berhhard Riemann and the Greatest Unsolved Problem in ... John Derbyshire Visualização parcial - 2004 |
Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in ... John Derbyshire Prévia não disponível - 2003 |