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Cover: 9781107101920 | Prime Numbers and the Riemann Hypothesis | Barry Mazur (u. a.) | Buch
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Prime Numbers and the Riemann Hypothesis
Buch von Barry Mazur (u. a.)
Sprache: Englisch

73,95 €*

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Beschreibung
This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.
This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.
Über den Autor
Barry Mazur is Gerhard Gade University Professor of Mathematics at Harvard University, Massachusetts. He is the author of Imagining Numbers: (Particularly the Square Root of Minus Fifteen) and co-editor, with Apostolos Doxiadis, of Circles Disturbed: The Interplay of Mathematics and Narrative.
Inhaltsverzeichnis
1. Thoughts about numbers; 2. What are prime numbers?; 3. 'Named' prime numbers; 4. Sieves; 5. Questions about primes; 6. Further questions about primes; 7. How many primes are there?; 8. Prime numbers viewed from a distance; 9. Pure and applied mathematics; 10. A probabilistic 'first' guess; 11. What is a 'good approximation'?; 12. Square root error and random walks; 13. What is Riemann's hypothesis?; 14. The mystery moves to the error term; 15. Césaro smoothing; 16. A view of Li(X) - ¿(X); 17. The prime number theorem; 18. The staircase of primes; 19. Tinkering with the staircase of primes; 20. Computer music files and prime numbers; 21. The word 'spectrum'; 22. Spectra and trigonometric sums; 23. The spectrum and the staircase of primes; 24. To our readers of part I; 25. Slopes and graphs that have no slopes; 26. Distributions; 27. Fourier transforms: second visit; 28. Fourier transform of delta; 29. Trigonometric series; 30. A sneak preview; 31. On losing no information; 32. Going from the primes to the Riemann spectrum; 33. How many ¿i's are there?; 34. Further questions about the Riemann spectrum; 35. Going from the Riemann spectrum to the primes; 36. Building ¿(X) knowing the spectrum; 37. As Riemann envisioned it; 38. Companions to the zeta function.
Details
Erscheinungsjahr: 2016
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 156
ISBN-13: 9781107101920
ISBN-10: 1107101921
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Mazur, Barry
Stein, William
Hersteller: Cambridge University Press
Maße: 235 x 157 x 13 mm
Von/Mit: Barry Mazur (u. a.)
Erscheinungsdatum: 15.07.2016
Gewicht: 0,389 kg
preigu-id: 104627630
Über den Autor
Barry Mazur is Gerhard Gade University Professor of Mathematics at Harvard University, Massachusetts. He is the author of Imagining Numbers: (Particularly the Square Root of Minus Fifteen) and co-editor, with Apostolos Doxiadis, of Circles Disturbed: The Interplay of Mathematics and Narrative.
Inhaltsverzeichnis
1. Thoughts about numbers; 2. What are prime numbers?; 3. 'Named' prime numbers; 4. Sieves; 5. Questions about primes; 6. Further questions about primes; 7. How many primes are there?; 8. Prime numbers viewed from a distance; 9. Pure and applied mathematics; 10. A probabilistic 'first' guess; 11. What is a 'good approximation'?; 12. Square root error and random walks; 13. What is Riemann's hypothesis?; 14. The mystery moves to the error term; 15. Césaro smoothing; 16. A view of Li(X) - ¿(X); 17. The prime number theorem; 18. The staircase of primes; 19. Tinkering with the staircase of primes; 20. Computer music files and prime numbers; 21. The word 'spectrum'; 22. Spectra and trigonometric sums; 23. The spectrum and the staircase of primes; 24. To our readers of part I; 25. Slopes and graphs that have no slopes; 26. Distributions; 27. Fourier transforms: second visit; 28. Fourier transform of delta; 29. Trigonometric series; 30. A sneak preview; 31. On losing no information; 32. Going from the primes to the Riemann spectrum; 33. How many ¿i's are there?; 34. Further questions about the Riemann spectrum; 35. Going from the Riemann spectrum to the primes; 36. Building ¿(X) knowing the spectrum; 37. As Riemann envisioned it; 38. Companions to the zeta function.
Details
Erscheinungsjahr: 2016
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 156
ISBN-13: 9781107101920
ISBN-10: 1107101921
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Mazur, Barry
Stein, William
Hersteller: Cambridge University Press
Maße: 235 x 157 x 13 mm
Von/Mit: Barry Mazur (u. a.)
Erscheinungsdatum: 15.07.2016
Gewicht: 0,389 kg
preigu-id: 104627630
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