Высшая математика - формулы on Windows Pc

Best reference book for students! Contains 62 lectures in 8 main sections of the course of higher mathematics.
The brevity and conciseness of the material perfect balance with sufficient rigor and completeness.

In the directory you will find:

Linear Algebra and Analytic Geometry
- Vector in the rotated coordinate system, or the relationship of the basic concepts of linear algebra
- Determinants and their properties
- Matrices and operations on them
- Systems of linear equations and their research
- Solution of systems of linear equations
- Scalar product of vectors
- Vector and mixed product of vectors
- Equations of the plane and the line
- Equations of line and plane
- Linear operators
- Quadratic forms and classification of second-order curves
- Curves of the second order
- Second-order surfaces

Introduction to mathematical analysis
- Complex numbers and their properties
- Variables and beyond
- The continuity of the function and its gaps
- Infinitely small, infinitely large and equivalent functions

Differential calculus
- A derivative, and its mechanical meaning geometpichesky
- The conclusion derived table
- Differential features
- Taylor's formula
- Mean value theorems
- L'Hopital's Rule
- Necessary and sufficient conditions for extremum
- Convexity, the inflection point of the curve and asymptote

Integral calculus
- Neopredel¨enny integral properties or primitives
- The definite integral and its properties
- Change of variable and integration by parts in a definite integral
- Methods of integration
- Integration of irrational and trigonometric expressions
- Geometric applications of definite integrals
- Improper integrals
- On the other methods of integral calculus

Ordinary Differential Equations
- Method isoclines
- Differential equations of the 1st order
- Differential equations of 2nd order
- Linear differential equations of higher orders
- The method of variation of arbitrary constants
- Homogeneous linear differential equations of n-th order with constant coefficients
- Linear inhomogeneous differential equations of n-th order with constant coefficients
- The system of homogeneous linear differential equations of the 1st order with constant coefficients
- The phase trajectories and singular points of differential equations

Differential calculus of functions of several variables
- Partial derivatives
- The total differential
- Differential operators
- Unconditional extremum
- Constrained optimization
- Constrained optimization in physics and economics

Integral calculus of functions of several variables
- Multiple integrals
- Change of variables in multiple integrals
- Curved integrals of 1st and 2nd kind
- Surface integrals of 1st and 2nd kind

The theory of series
- Convergence and the sum of the number series
- Sufficient convergence
- Dirichlet series. alternating rows
- Functional series
- Integration and differentiation of power series
- Calculation of irrational numbers and integrals opredel¨ennyh
- Solution of differential equations using rows
- Trigonometric series
- Complex Fourier series
- Fourier integral

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