Ib Math IA 2020 New Topics

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Algebra and number1) Modular arithmetic This
technique is used throughout Number Theory. For
example, Mod 3 means the remainder when dividing
by 3.2) Goldbachs conjecture Every even
number greater than 2 can be expressed as the sum
of two primes. One of the great unsolved
problems in mathematics.3) Probabilistic number
theory4) Applications of complex numbers The
stunning graphics of Mandelbrot and Julia Sets
are generated by complex numbers.5) Diophantine
equations These are polynomials which have
integer solutions. Fermats Last Theorem is one
of the most famous such equations.
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