Number theory through inquiry / David C. Marshall, Edward Odell, Michael Starbird.
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Year of Publication: | 2007 |
Edition: | 1st ed. |
Language: | English |
Series: | MAA textbooks
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Physical Description: | ix, 140 p. |
Notes: | Includes index. |
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Table of Contents:
- Introduction
- Divide and conquer
- Prime time
- A modular world
- Fermat's Little Theorem and Euler's Theorem
- Public key cryptography
- Polynomial congruences and primitive roots
- The golden rule : quadratic reciprocity
- Pythagorean triples, sums of squares, and Fermat's Last Theorem
- Rationals close to irrationals and the Pell equation
- The search for primes
- Mathematical induction : the domino effect.