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Prime Numbers and the Riemann Hypothesis by William Stein and Barry Mazur (2016, Trade Paperback)

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Prime Numbers and the Riemann Hypothesis, Paperback by Mazur, Barry; Stein, William, ISBN 1107499437, ISBN-13 9781107499430, Brand New, Free shipping in the US

About this product

Product Information

This book introduces prime numbers and explains the celebrated, unsolved Riemann hypothesis in a direct manner. Suitable for both scholars and those with a minimal mathematical background.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
1107499437
ISBN-13
9781107499430
eBay Product ID (ePID)
217064135

Product Key Features

Author
William Stein, Barry Mazur
Publication Name
Prime Numbers and the Riemann Hypothesis
Format
Trade Paperback
Language
English
Publication Year
2016
Type
Textbook
Number of Pages
150 Pages

Dimensions

Item Length
9in
Item Height
0.3in
Item Width
6in
Item Weight
9.2 Oz

Additional Product Features

Lc Classification Number
Qa246.M49 2015
Reviews
"This book is a soaring ride, starting from the simplest ideas and ending with one of the deepest unsolved problems of mathematics. Unlike in many popular math books puffed up with anecdotal material, the authors here treat the reader as seriously interested in prime numbers and build up the real math in four stages with compelling graphical demonstrations revealing in deeper and deeper ways the hidden music of the primes. If you have ever wondered why so many mathematicians are obsessed with primes, here's the real deal." David Mumford, Brown University, Rhode Island, "This is an extraordinary book, really one of a kind. Written by two supreme experts, but aimed at the level of an undergraduate or curious amateur, it emphasizes the really powerful ideas, with the bare minimum of math notation and the maximum number of elegant and suggestive visuals. The authors explain why this legendary problem is so beautiful, why it is difficult, and why you should care." Will Hearst, Hearst Corporation, Advance praise: 'This is an extraordinary book, really one of a kind. Written by two supreme experts, but aimed at the level of an undergraduate or curious amateur, it emphasizes the really powerful ideas, with the bare minimum of math notation and the maximum number of elegant and suggestive visuals. The authors explain why this legendary problem is so beautiful, why it is difficult, and why you should care.' Will Hearst, Hearst Corporation
Table of Content
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.
Copyright Date
2015
Target Audience
College Audience
Topic
Number Theory
Lccn
2015-018981
Dewey Decimal
512.7/3
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics

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item 1 Prime Numbers and the Riemann Hypothesis, Mazur, Barry,
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5 out of 5 stars
by ntkbooksApr 13, 2021
For a popular math book, this gives somewhat more intuitive understanding for the Reimann hypothesis
Great explanation after Devonshire
Verified purchase: Yes | Condition: Pre-owned

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