Table of Contents

1. Altmetric Badge
   Book Overview
2. Altmetric Badge
   Chapter 1 Numbers
3. Altmetric Badge
   Chapter 2 Induction
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   Chapter 3 Euclid's Algorithm
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   Chapter 4 Unique Factorization
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   Chapter 5 Congruence
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   Chapter 6 Congruence Classes
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   Chapter 7 Rings and Fields
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   Chapter 8 Matrices and Codes
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    Chapter 9 Fermat's and Euler's Theorems
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    Chapter 10 Applications of Euler's Theorem
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    Chapter 11 Groups
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    Chapter 12 The Chinese Remainder Theorem
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    Chapter 13 Polynomials
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    Chapter 14 Unique Factorization
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    Chapter 15 The Fundamental Theorem of Algebra
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    Chapter 16 Polynomials in ℚ[ x ]
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    Chapter 17 Congruences and the Chinese Remainder Theorem
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    Chapter 18 Fast Polynomial Multiplication
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    Chapter 19 Cyclic Groups and Cryptography
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    Chapter 20 Carmichael Numbers
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    Chapter 21 Quadratic Reciprocity
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    Chapter 22 Quadratic Applications
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    Chapter 23 Congruence Classes Modulo a Polynomial
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    Chapter 24 Homomorphisms and Finite Fields
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    Chapter 25 BCH Codes
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    Chapter 26 Factoring in ℤ[ x ]
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    Chapter 27 Irreducible Polynomials