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Magic Squares And Modular Arithmetic
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Maths Investigation Ideas for A-level, IB and Gifted GCSE ...
cpb-us-e1.wpmucdn.com12) Magic squares and cubes : Investigate magic tricks that use mathematics. Why do magic squares work? 13) Loci and complex numbers 14) Egyptian fractions : Egyptian fractions can only have a numerator of 1 - which leads to some interesting patterns. 2/3 could be written as 1/6 + 1/2. Can all fractions with a numerator of 2 be written as 2 ...
Number Theory - Stanford University
crypto.stanford.eduModular Arithmetic We begin by defining how to perform basic arithmetic modulo n, where n is a positive integer. Addition, subtraction, and multiplication follow naturally from their integer counterparts, but we have complications with division. Euclid’s Algorithm We will need this algorithm to fix our problems with division.