دانلود کتاب Modern Cryptography and Elliptic Curves: A Beginner's Guide (Student Mathematical Library)

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Cover\nTitle page\nContents\nPreface\n Introduction\nChapter 1. Three Motivating Problems\n 1.1. Fermat’s Last Theorem\n 1.2. The Congruent Number Problem\n 1.3. Cryptography\nChapter 2. Back to the Beginning\n 2.1. The Unit Circle: Real vs. Rational Points\n 2.2. Parametrizing the Rational Points on the Unit Circle\n 2.3. Finding all Pythagorean Triples\n 2.4. Looking for Underlying Structure: Geometry vs. Algebra\n 2.5. More about Points on Curves\n 2.6. Gathering Some Insight about Plane Curves\n 2.7. Additional Exercises\nChapter 3. Some Elementary Number Theory\n 3.1. The Integers\n 3.2. Some Basic Properties of the Integers\n 3.3. Euclid’s Algorithm\n 3.4. A First Pass at Modular Arithmetic\n 3.5. Elementary Cryptography: Caesar Cipher\n 3.6. Affine Ciphers and Linear Congruences\n 3.7. Systems of Congruences\nChapter 4. A Second View of Modular Arithmetic: \\Z_{