Fermat’s Last Theorem is one of the most famous such equations.Ħ) Continued fractions: These are fractions which continue to infinity. For example, Mod 3 means the remainder when dividing by 3.Ģ) Goldbach’s conjecture: “Every even number greater than 2 can be expressed as the sum of two primes.” One of the great unsolved problems in mathematics.Ĥ) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers.ĥ) Diophantine equations: These are polynomials which have integer solutions. ![]() Suitable for Applications and Interpretations students (SL and HL) and also Analysis and Approaches students (SL and HL).ġ) Modular arithmetic – This technique is used throughout Number Theory.
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