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Project title: Rewright of the manual in higher mathematics
Type of cooperation: One-time project
Section: Texts and translation
Prepayment: without prepayment
Payment methods: Bank transfer
Acceptance of requests: from 2025-02-15 until 2025-03-02
Type of cooperation: One-time project
Section: Texts and translation
Prepayment: without prepayment
Payment methods: Bank transfer
Acceptance of requests: from 2025-02-15 until 2025-03-02
Project description:
Remote work for a rewriter. I need to re-write the math manual. In this case, the work is quite large, and as a result, the rate is also high.
We need high-quality rewriting, with originality of 65+ percent, on topics. The total cost of the work will vary from 40 to 50 thousand rubles, depending on the number of pages.
Examples of topics:
8. Symmetrical and orthogonal matrices and their spectra. Bilinear and quadratic forms: A matrix of self-adjoint linear transformation in space with an orthogonal basis. Orthogonal transformations and matrices. Bilinear and quadratic forms. Bilinear matrix. Transformation of a bilinear matrix when replacing the base. It's a square shape. Types of quadratic forms: positively defined; negatively defined; non-negatively defined; unpositively defined quadratic forms. Sylvester's criterion of positive certainty of a quadratic form. Reducing the quadratic form to the standard and canonical form. The law of inertia for quadratic forms. Characterization and study of a quadratic form on the spectrum of its matrix.
9. Elements of linear programming. The problem of linear programming. The simplex method. Convex areas. The dual problem of linear programming and the theorem of duality. Economic examples: resource allocation problem, shadow resource prices, transportation problem, maximum flow problem, zero-sum games.
10. Preliminary concepts. The subject of linear algebra and matrix analysis. Real (real) and complex numbers. Extracting the roots of the nth degree from a complex number. The basic theorem of algebra. The subject of linear algebra and its application to economic problems. Arithmetic vectors. Vector operations. Algebraic properties of vectors. Geometric interpretation of vectors. Linear independence. The scalar product of two vectors. Definition of the matrix. Types of matrices. Special-type matrices. A trace of a matrix. Transposition of the matrix. Economic examples: vector representation of economic data and operations with them. Inflation Assessment: Calculations of the Laspeyres Index and the Paachet Index.
11. Elements of analytical geometry. The general equation of a straight line on a plane. The condition of parallelity and perpendicularity of lines. Parametric and canonical equations of a straight line. The distance from point to line. Convert the coordinates of the point when replacing the coordinate system. Vector and mixed product of vectors. General equation of plane. Condition of parallelity and perpendicularity of planes. The equation of a straight line in space. The relative position of the straight and the plane, two straight lines
12. Matrix algebra. Rank of the matrix. Rank inequality of matrices. Sum and product of matrices. Unit matrix. Kronecker's work of matrices. Square matrices. The degree of the matrix. Polynomial from matrices. Elementary matrix transformations. Reducing the matrix to a step-by-step appearance. The canonical form of the matrix. Economic examples: Tinbergen’s model of macroeconomic policy, technological matrix, Leontieff’s model.
Remote work for a rewriter. I need to re-write the math manual. In this case, the work is quite large, and as a result, the rate is also high.
We need high-quality rewriting, with originality of 65+ percent, on topics. The total cost of the work will vary from 40 to 50 thousand rubles, depending on the number of pages.
Examples of topics:
8. Symmetrical and orthogonal matrices and their spectra. Bilinear and quadratic forms: A matrix of self-adjoint linear transformation in space with an orthogonal basis. Orthogonal transformations and matrices. Bilinear and quadratic forms. Bilinear matrix. Transformation of a bilinear matrix when replacing the base. It's a square shape. Types of quadratic forms: positively defined; negatively defined; non-negatively defined; unpositively defined quadratic forms. Sylvester's criterion of positive certainty of a quadratic form. Reducing the quadratic form to the standard and canonical form. The law of inertia for quadratic forms. Characterization and study of a quadratic form on the spectrum of its matrix.
9. Elements of linear programming. The problem of linear programming. The simplex method. Convex areas. The dual problem of linear programming and the theorem of duality. Economic examples: resource allocation problem, shadow resource prices, transportation problem, maximum flow problem, zero-sum games.
10. Preliminary concepts. The subject of linear algebra and matrix analysis. Real (real) and complex numbers. Extracting the roots of the nth degree from a complex number. The basic theorem of algebra. The subject of linear algebra and its application to economic problems. Arithmetic vectors. Vector operations. Algebraic properties of vectors. Geometric interpretation of vectors. Linear independence. The scalar product of two vectors. Definition of the matrix. Types of matrices. Special-type matrices. A trace of a matrix. Transposition of the matrix. Economic examples: vector representation of economic data and operations with them. Inflation Assessment: Calculations of the Laspeyres Index and the Paachet Index.
11. Elements of analytical geometry. The general equation of a straight line on a plane. The condition of parallelity and perpendicularity of lines. Parametric and canonical equations of a straight line. The distance from point to line. Convert the coordinates of the point when replacing the coordinate system. Vector and mixed product of vectors. General equation of plane. Condition of parallelity and perpendicularity of planes. The equation of a straight line in space. The relative position of the straight and the plane, two straight lines
12. Matrix algebra. Rank of the matrix. Rank inequality of matrices. Sum and product of matrices. Unit matrix. Kronecker's work of matrices. Square matrices. The degree of the matrix. Polynomial from matrices. Elementary matrix transformations. Reducing the matrix to a step-by-step appearance. The canonical form of the matrix. Economic examples: Tinbergen’s model of macroeconomic policy, technological matrix, Leontieff’s model.
