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Section 3.0 3.0.1
Chapter 3Algorithmsand Integers
3.1 Algorithms
3.2 Growth of Functions
3.3 Complexity of Algorithms
3.4 The Integers and Division
3.5 Primes and GCD’s
3.6 Integers and Algorithms
3.7 Applications of Number Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.1 Algorithms 3.1.1
3.1 ALGORITHMS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.1.2 Chapter 3 Algorithms and Integers
Algo 3.1.1:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.1 Algorithms 3.1.3
Algo 3.1.2:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.1.4 Chapter 3 Algorithms and Integers
Algo 3.1.3:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.1 Algorithms 3.1.5
Algo 3.1.4:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.1.6 Chapter 3 Algorithms and Integers
Algo 3.1.5:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.2 Growth of Functions 3.2.1
3.2 GROWTH OF FUNCTIONS
BIG OH CLASSES
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.2.2 Chapter 3 Algorithms and Integers
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.2 Growth of Functions 3.2.3
WITNESSES
CLASSROOM EXERCISE
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.2.4 Chapter 3 Algorithms and Integers
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.2 Growth of Functions 3.2.5
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.2.6 Chapter 3 Algorithms and Integers
BIG-THETA CLASSES
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.3 Complexity 3.3.1
3.3 COMPLEXITY
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.3.2 Chapter 3 Algorithms and Integers
Algo 3.1.1:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.3 Complexity 3.3.3
Algo 3.1.2:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.3.4 Chapter 3 Algorithms and Integers
Algo 3.1.3:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.3 Complexity 3.3.5
Algo 3.1.4:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.3.6 Chapter 3 Algorithms and Integers
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.3 Complexity 3.3.7
Algo 3.1.5:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.3.8 Chapter 3 Algorithms and Integers
COMPLEXITY JARGON
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.4 The Integers and Division 3.4.1
3.4 THE INTEGERS AND DIVISION
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.4.2 Chapter 3 Algorithms and Integers
AXIOMS for the NATURAL NUMBERS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.4 The Integers and Division 3.4.3
ARITHMETIC OPERATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.4.4 Chapter 3 Algorithms and Integers
DIVISION
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.4 The Integers and Division 3.4.5
DIVISION THEOREM
Algo 3.4.1:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.4.6 Chapter 3 Algorithms and Integers
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.4 The Integers and Division 3.4.7
MODULAR ARITHMETIC
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.4.8 Chapter 3 Algorithms and Integers
CAESAR ENCRYPTION
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.5 Primes and GCD’s 3.5.1
3.5 PRIMES AND GCD’S
Algo 3.5.1:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.5.2 Chapter 3 Algorithms and Integers
Algo 3.5.2:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.5 Primes and GCD’s 3.5.3
MERSENNE PRIMES
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.5.4 Chapter 3 Algorithms and Integers
Fundamental Theorem of Arithmetic
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.5 Primes and GCD’s 3.5.5
GREATEST COMMON DIVISORS
Algo 3.5.3:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.5.6 Chapter 3 Algorithms and Integers
Algo 3.5.4:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.5 Primes and GCD’s 3.5.7
RELATIVE PRIMALITY
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.6 Integers and Algorithms 3.6.1
3.6 INTEGERS AND ALGORITHMS
POSITIONAL REPRESENTATION of INTEGERS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.6.2 Chapter 3 Algorithms and Integers
NUMBER BASE CONVERSION
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.6 Integers and Algorithms 3.6.3
EVALUATION OF MONOMIALS
EVALUATION OF POLYNOMIALS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.6.4 Chapter 3 Algorithms and Integers
EUCLIDEAN ALGORITHM
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.6 Integers and Algorithms 3.6.5
Algo 3.6.1:
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.6.6 Chapter 3 Algorithms and Integers
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.7 Number Theory 3.7.1
3.7 NUMBER THEORY
EXTENDED EUCLIDEAN ALGORITHM
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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3.7.2 Chapter 3 Algorithms and Integers
EXPONENTIATION MOD a PRIME
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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Section 3.7 Number Theory 3.7.3
coursenotes by Prof. J. L. Gross for Rosen 6th Edition