Number Theory: A Contemporary Introduction Pete L. Clark

Number theory : A Contemporary IntroductionPete L. ClarkContentsChapter 1. The Fundamental Theorem and Some Applications71. Foundations72. The Fundamental Theorem (inZ)113. Some examples of failure of unique factorization154. Consequences of the fundamental theorem175. Some Irrational Numbers246. Primitive Roots27 Chapter 2. Pythagorean Triples311. Parameterization of Pythagorean Triples312. An Application: Fermat s Last Theorem forN= 4353. Rational Points on Conics37 Chapter 3. Quadratic Rings411. Quadratic Fields and Quadratic Rings412. Fermat s Two Squares Theorem413. Fermat s Two Squares Theorem Lost444. Fermat s Two Squares Theorem (and More!)

Number Theory: A Contemporary Introduction Pete L. Clark. Contents Chapter 1. The Fundamental Theorem and Some Applications 7 1. Foundations 7 2. The Fundamental Theorem (in Z) 11 3. Some examples of failure of unique factorization 15 4. Consequences of the fundamental theorem 17 5. Some Irrational Numbers 24

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