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Primer of Analytic Number Theory: From Pythagoras to Riemann Book

Primer of Analytic Number Theory: From Pythagoras to Riemann
Primer of Analytic Number Theory: From Pythagoras to Riemann, This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal num, Primer of Analytic Number Theory: From Pythagoras to Riemann has a rating of 3.5 stars
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Primer of Analytic Number Theory: From Pythagoras to Riemann, This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal num, Primer of Analytic Number Theory: From Pythagoras to Riemann
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  • Primer of Analytic Number Theory: From Pythagoras to Riemann
  • Written by author Jeffrey Stopple
  • Published by Cambridge University Press, July 2003
  • This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal num
  • An undergraduate-level introduction whose only prerequisite is a standard calculus course.
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Book Categories

Authors

Preface
Ch. 1Sums and Differences1
Ch. 2Products and Divisibility24
Ch. 3Order of Magnitude43
Ch. 4Averages64
Interlude 1Calculus83
Ch. 5Primes96
Interlude 2Series111
Ch. 6Basel Problem146
Ch. 7Euler's Product159
Interlude 3Complex Numbers187
Ch. 8The Riemann Zeta Function193
Ch. 9Symmetry216
Ch. 10Explicit Formula229
Interlude 4Modular Arithmetic254
Ch. 11Pell's Equation260
Ch. 12Elliptic Curves274
Ch. 13Analytic Theory of Algebraic Numbers295
Solutions327
Bibliography375
Index379


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Primer of Analytic Number Theory: From Pythagoras to Riemann, This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal num, Primer of Analytic Number Theory: From Pythagoras to Riemann

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Primer of Analytic Number Theory: From Pythagoras to Riemann, This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal num, Primer of Analytic Number Theory: From Pythagoras to Riemann

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Primer of Analytic Number Theory: From Pythagoras to Riemann, This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal num, Primer of Analytic Number Theory: From Pythagoras to Riemann

Primer of Analytic Number Theory: From Pythagoras to Riemann

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