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  2. Hilbert Basis theorem state and proof (algebraic geometry)

    Hilbert Basis theorem state and proof (algebraic geometry)

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  6. The existence proof of eigenvectors and eigenvalues

    The existence proof of eigenvectors and eigenvalues

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  10. Hermitian matrix is diagonalizable and orthonormal basis

    Hermitian matrix is diagonalizable and orthonormal basis

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  11. Prove normal matrix is unitary diagonalizable

    Prove normal matrix is unitary diagonalizable

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  13. Linear map fixed point theorem

    Linear map fixed point theorem

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  14. Prove Method of infinite Descent (Vieta's jumping) : (x^2+y^2+1)/xy=3

    Prove Method of infinite Descent (Vieta's jumping) : (x^2+y^2+1)/xy=3

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  15. Integral of e^ax cos(bx) and Integral of e^ax sin(bx) no integration by part

    Integral of e^ax cos(bx) and Integral of e^ax sin(bx) no integration by part

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  16. Integral of 1/(e^x+1) and integral of 1/(e^x-1)

    Integral of 1/(e^x+1) and integral of 1/(e^x-1)

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  17. integral of x^n lnx from 0 to 1

    integral of x^n lnx from 0 to 1

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  18. Complex contour: Integral of ln(x)/(x^2+1) and ln(x)^2/(x^2+1)

    Complex contour: Integral of ln(x)/(x^2+1) and ln(x)^2/(x^2+1)

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  19. Goldbach's theorem: Fermat numbers are coprime

    Goldbach's theorem: Fermat numbers are coprime

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  21. Field theory (Abstract Algebra)

    Field theory (Abstract Algebra)

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  22. 7 is the only Prime followed by a Cube? What's more? how about quartic

    7 is the only Prime followed by a Cube? What's more? how about quartic

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  23. sum of the reciprocals of the primes is divergent

    sum of the reciprocals of the primes is divergent

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  24. Mathematical induction middle level exercise

    Mathematical induction middle level exercise

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  25. Find eigenvalues of matrix with all same element

    Find eigenvalues of matrix with all same element

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