Solutions Manual Advanced Number Theory with Applications
Seiten
2009
Chapman & Hall/CRC (Hersteller)
978-1-4398-2482-5 (ISBN)
Chapman & Hall/CRC (Hersteller)
978-1-4398-2482-5 (ISBN)
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Provides an advanced treatment of number theory. After an introduction to algebraic number theory, this book focuses on ideals and quadratic forms, offering an advanced view of arithmetic functions, including coverage of p-sidic analysis, Gauss sums, the Dirichlet theorem, elliptic curve cryptography, Diophantine equations, and sieve methods.
Intended for a second course at the graduate level, this book provides an advanced treatment of number theory. After an introduction to algebraic number theory, the text concentrates on ideals and quadratic forms, before moving on to Liouville's theorem, Euler's constant, and Minkowski's convex body problem and proof. Later chapters provide a more advanced view of arithmetic functions, including coverage of p-sidic analysis, Gauss sums, the Dirichlet theorem, elliptic curve crptography, Diophantine equations, and sieve methods, including Selberg's sieve and Erathosthenes sieve. A separate chapter addresses modular forms and functions.
Intended for a second course at the graduate level, this book provides an advanced treatment of number theory. After an introduction to algebraic number theory, the text concentrates on ideals and quadratic forms, before moving on to Liouville's theorem, Euler's constant, and Minkowski's convex body problem and proof. Later chapters provide a more advanced view of arithmetic functions, including coverage of p-sidic analysis, Gauss sums, the Dirichlet theorem, elliptic curve crptography, Diophantine equations, and sieve methods, including Selberg's sieve and Erathosthenes sieve. A separate chapter addresses modular forms and functions.
Richard A. Mollin is a professor in the Department of Mathematics and Statistics at the University of Calgary.
Algebraic Number Theory and Quadratic Fields. Ideals. Quadratic Forms. Diophantine Approximation. Arithmetic Functions. Introduction to p-adic Analysis. Gauss Sums and Characters. Elliptic Curves. Diophantine Equations. Sieve Methods.
| Erscheint lt. Verlag | 28.7.2009 |
|---|---|
| Zusatzinfo | 5 Tables, black and white |
| Sprache | englisch |
| Maße | 216 x 279 mm |
| Gewicht | 136 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| ISBN-10 | 1-4398-2482-7 / 1439824827 |
| ISBN-13 | 978-1-4398-2482-5 / 9781439824825 |
| Zustand | Neuware |
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