Ib Mathematics Algebra IA Extended Essay Tutor and Assignments

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Algebra and number- 

1) Modular arithmetic - This technique is used throughout Number Theory. For example, Mod 3 means the remainder when dividing by 3.

2) 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.

3) Probabilistic number theory

4) 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. Fermat's Last Theorem is one of the most famous such equations.

6) Continued fractions: These are fractions which continue to infinity. The great Indian mathematician Ramanujan discovered some amazing examples of these.

7) Patterns in Pascal's triangle: There are a large number of patterns to discover - including the Fibonacci sequence.

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Ib Math IA Exploration
Sat, Mar 21, 2020

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Ib Math IA Exploration
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