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  1. Prove Method of infinite Descent (Vieta's jumping) : (4a^2-1)^2/(4ab-1) is integer, then a=b

    Prove Method of infinite Descent (Vieta's jumping) : (4a^2-1)^2/(4ab-1) is integer, then a=b

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  2. Prove Method of infinite Descent : square k is irrational if k is not square free

    Prove Method of infinite Descent : square k is irrational if k is not square free

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  3. Prove Method of infinite Descent (Vieta's jumping) : (a^2+b^2)/(ab+1) is square, imo1988

    Prove Method of infinite Descent (Vieta's jumping) : (a^2+b^2)/(ab+1) is square, imo1988

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  4. Normal subgroup and quotient subgroup

    Normal subgroup and quotient subgroup

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  5. There exist distinct integers x,y,z for which, x^2+y^2+z^2=14^n

    There exist distinct integers x,y,z for which, x^2+y^2+z^2=14^n

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  6. Plot Mcdonald Shape by function

    Plot Mcdonald Shape by function

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  7. zero morphism and kernel and cokernel

    zero morphism and kernel and cokernel

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  9. Schrodinger equation and Klein Gordan equation continuity equation

    Schrodinger equation and Klein Gordan equation continuity equation

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  10. Cauchy's theorem for the abelian group, Sylow theorem for abelian group

    Cauchy's theorem for the abelian group, Sylow theorem for abelian group

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  12. Homomorphism of ring and ideal, quotient ring

    Homomorphism of ring and ideal, quotient ring

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  13. Polynomial ring over rationals

    Polynomial ring over rationals

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  16. Polynomial over a commutative ring

    Polynomial over a commutative ring

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  19. Show e really exists in one page

    Show e really exists in one page

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  20. Ring theory lecture - definition

    Ring theory lecture - definition

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  21. Counting formula in Group theory

    Counting formula in Group theory

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  22. Construction in categories: product/coproduct, equalizer/coequalizer, Pushout/pullbacks

    Construction in categories: product/coproduct, equalizer/coequalizer, Pushout/pullbacks

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  23. Correspondence theorem in Group theory and third isomorphism theorem

    Correspondence theorem in Group theory and third isomorphism theorem

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  24. Volume of sphere, Cone, Pyramid

    Volume of sphere, Cone, Pyramid

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  25. How to put 20 equilateral triangles on sphere

    How to put 20 equilateral triangles on sphere

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