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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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  9. The existence proof of eigenvectors and eigenvalues

    The existence proof of eigenvectors and eigenvalues

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  10. Prove normal matrix is unitary diagonalizable

    Prove normal matrix is unitary diagonalizable

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  11. Hermitian matrix is diagonalizable and orthonormal basis

    Hermitian matrix is diagonalizable and orthonormal basis

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  13. 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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  14. 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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  15. 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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  16. the field of quotients of an integral domain

    the field of quotients of an integral domain

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  17. integral of lnx ln(1-x) from 0 to 1

    integral of lnx ln(1-x) from 0 to 1

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  18. Introduction to Pythagorean quadruple

    Introduction to Pythagorean quadruple

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  19. 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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  20. Special quartic equation and cos72

    Special quartic equation and cos72

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  22. Mathematical induction middle level exercise

    Mathematical induction middle level exercise

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  23. 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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  24. sin(x+y)sin(x-y)=(sinx+siny)(sinx-siny)

    sin(x+y)sin(x-y)=(sinx+siny)(sinx-siny)

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