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This is a tutorial explaining how to use the free and open source mathematical software package Sage (version 6.1.1). Sage and this can be downloaded free from the website: http: //www.sagemath.org/. Copyright: (c) 2014 Creative Commons Attribution-ShareAlike 3.0. Royalties go directly to the Sage Foundation.
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In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles' resolution of Fermat's Last Theorem.
Covers classical modular forms. This book is suitable to those who wish to use modular forms in applications, such as in the explicit solution of Diophantine equations.
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