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Section 4.0 4.0.1
Chapter 4NumberTheory
4.1 The Integers and Division
4.2 Integers and Algorithms
4.3 Primes and GCD’s
4.4 Applications of Number Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.1 The Integers and Division 4.1.1
4.1 THE INTEGERS AND DIVISION
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
4.1.2 Chapter 4 Number Theory
AXIOMS for the NATURAL NUMBERS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.1 The Integers and Division 4.1.3
ARITHMETIC OPERATIONS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
4.1.4 Chapter 4 Number Theory
DIVISION
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.1 The Integers and Division 4.1.5
DIVISION THEOREM
Algo 4.1.1:
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
4.1.6 Chapter 4 Number Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.1 The Integers and Division 4.1.7
MODULAR ARITHMETIC
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
4.1.8 Chapter 4 Number Theory
CAESAR ENCRYPTION
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.2 Integers and Algorithms 4.2.1
4.2 INTEGERS AND ALGORITHMS
POSITIONAL REPRESENTATION of INTEGERS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
4.2.2 Chapter 4 Number Theory
NUMBER BASE CONVERSION
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.2 Integers and Algorithms 4.2.3
EVALUATION OF MONOMIALS
EVALUATION OF POLYNOMIALS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.3 Primes and GCD’s 4.3.1
4.3 PRIMES AND GCD’S
Algo 4.3.1:
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
4.3.2 Chapter 4 Number Theory
Algo 4.3.2:
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.3 Primes and GCD’s 4.3.3
MERSENNE PRIMES
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
4.3.4 Chapter 4 Number Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.3 Primes and GCD’s 4.3.5
Fundamental Theorem of Arithmetic
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
4.3.6 Chapter 4 Number Theory
GREATEST COMMON DIVISORS
Algo 4.3.3:
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.3 Primes and GCD’s 4.3.7
Algo 4.3.4:
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
4.3.8 Chapter 4 Number Theory
RELATIVE PRIMALITY
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.3 Primes and GCD’s 4.3.9
EUCLIDEAN ALGORITHM
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
4.3.10 Chapter 4 Number Theory
Algo 4.3.5:
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.3 Primes and GCD’s 4.3.11
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.4 More Number Theory 4.4.1
4.4 MORE NUMBER THEORY
EXTENDED EUCLIDEAN ALGORITHM
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
4.4.2 Chapter 4 Number Theory
EXPONENTIATION MOD a PRIME
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 4.4 More Number Theory 4.4.3
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
