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  1. 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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  2. sinx+sin2x+sin3x+...+sin nx, cosx+cos2x+cos3x+cos 4 x+...+cos nx

    sinx+sin2x+sin3x+...+sin nx, cosx+cos2x+cos3x+cos 4 x+...+cos nx

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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. a_{n+2}=5a_{n+1}-6a_{n} Mathematical induction

    a_{n+2}=5a_{n+1}-6a_{n} Mathematical induction

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  8. zero morphism and kernel and cokernel

    zero morphism and kernel and cokernel

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  10. Mathematical induction exercise: 6^n-1 is divisible by 5

    Mathematical induction exercise: 6^n-1 is divisible by 5

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  12. Joukowski Transformation in complex analysis

    Joukowski Transformation in complex analysis

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  13. Complex analysis Integral of cos(ax)/coshx from 0 to infinity

    Complex analysis Integral of cos(ax)/coshx from 0 to infinity

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  14. Schrodinger equation and Klein Gordan equation continuity equation

    Schrodinger equation and Klein Gordan equation continuity equation

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  16. Integral of 1/(x^2+1) by using complex number

    Integral of 1/(x^2+1) by using complex number

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  17. 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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  19. Homomorphism of ring and ideal, quotient ring

    Homomorphism of ring and ideal, quotient ring

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  20. Polynomial ring over rationals

    Polynomial ring over rationals

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  23. Polynomial over a commutative ring

    Polynomial over a commutative ring

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  24. Cayley's theorem and its generalization

    Cayley's theorem and its generalization

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  25. Group homomorphism and first group isomorphism theorem

    Group homomorphism and first group isomorphism theorem

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