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A Language Of Polynomials

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A good proof should cover three points:

1. It should cover as many fields of mathematics as possible.
2. It should extend and build upon the foundations.
3. Lastly, and most importantly, it should excite our intuition.

1. Foundations

Foundations

Exercises

2. Monomial of One Degree

Monomial Of One Degree

Exercises

3. Addition

Addition

Exercises

4. Product

Product

Exercises

5. Problem with Matrices

Problem with Matrices

Exercises

6. Multivariable Polynomials

Multivariable Polynomials

Exercises

7. Generalized Monomial Deciders

Generalized Monomial Deciders

Exercises

8. Concentric Monomial Deciders

Concentric Monomial Deciders

Exercises

9. Constants

Constants

Exercises

10. Division

Division

Exercises

11. Multiple Divisions

Multiple Divisions

Exercises

12. Equivalence

Equivalence

Exercises

13. Reversing

Reversing

Exercises

14. Corollary of Reversing

Corollary of Reversing

Exercises

15. Godel's Theorem

Godel's Theorem

Exercises

16. Constructing The One Way Function

Constructing the One Way Function

Exercises

17. Infiniteness

Infinite

Exercises

18. References

References