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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. sum of the reciprocals of the primes is divergent

    sum of the reciprocals of the primes is divergent

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  16. Mathematical induction middle level exercise

    Mathematical induction middle level exercise

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  17. Find eigenvalues of matrix with all same element

    Find eigenvalues of matrix with all same element

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  18. Introduction to Pythagorean quadruple

    Introduction to Pythagorean quadruple

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  20. Complex contour integral: e^{-x}cos(x)/sqrt(x), e^{-x}sin(x)/sqrt(x) from 0 to infinity

    Complex contour integral: e^{-x}cos(x)/sqrt(x), e^{-x}sin(x)/sqrt(x) from 0 to infinity

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  21. Two ways: Integral of 1/(x^2+1)^2 from 0 to infinity

    Two ways: Integral of 1/(x^2+1)^2 from 0 to infinity

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  24. 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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  25. Integral of 1/(x^3-1) from integral of 1/(x^3+1)

    Integral of 1/(x^3-1) from integral of 1/(x^3+1)

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