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Continued Fraction

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A continued fraction is a real number expressed as a nested fraction. Such representations may be particularly useful in number theory.

Continued fraction is a college-level concept that would be first encountered in a number theory course.

Prerequisites

Fraction: A fraction is a rational number expressed in the form a/b, where a is known as the numerator and b as the denominator.
Irrational Number: An irrational number is a real number that cannot be written as a fraction. Irrational numbers have decimal expansions that neither terminate nor become periodic.

Classroom Articles on Number Theory (Up to College Level)

  • Congruence
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  • Perfect Number
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  • Convergent
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  • Prime Counting Function
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  • Diophantine Equation
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  • Prime Factorization Algorithms
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  • Divisor Function
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  • Prime Number Theorem
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  • Euclidean Algorithm
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  • Quadratic Reciprocity Theorem
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  • Euler-Mascheroni Constant
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  • Squarefree
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  • Fermat's Last Theorem
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  • Totient Function
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  • Number Theory
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  • Transcendental Number
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  • Partition
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