About Справочник по математике
Advanced Guide to Applied Mathematics.
This guide includes:
Elementary geometry
- planimetry
- Geometry
Geometric transformations
Start analysis and algebra
- Algebraic transformations
- Trigonometric formulas
- The basic formulas for hyperbolic functions
- Combinatorics elements of Newton's formula
- Real numbers and numerical sets
- Numerical functions
Equations and Inequalities
- Linear equations and inequalities
- Quadratic equations and inequalities
- Exponential equations and inequalities
- Logarithmic equations and inequalities
- Trigonometric equations and inequalities
- Simple equations and inequalities containing module
- Methods for the approximate solution of equations of the form f (x) = 0 (f is continuous)
Analytic geometry
- The coordinate system on the plane and in the space
- Conversion of Cartesian coordinates in the plane
- Simple analytic geometry problems
- Straight on a plane
- A line in space
- plane
- Line of the second degree
- The second degree of surface
Higher algebra
- complex numbers
- polynomials
- the determinants
- Matrix calculus
- A system of linear equations
- Linear spaces
- Euclidean spaces
- Linear transformation of a linear space
- Linear transformations of Euclidean space
- Quadratic forms
Differential calculus
- Limits and numerical series
- Derivatives and differentials
- Taylor's formula, power series
- Functions of several variables
Differential geometry
- Vector-scalar function arguments
- Flat line
- Spatial line
- surface
- Special classes lines and surfaces
Integral calculus
- Indefinite integral
- Table of indefinite integrals
- The definite integral
- Integrals of functions of several variables
- Improper integrals and integrals depending on a parameter
Complex analysis
- Complex-valued function of a real variable
- Complex functions
- Fourier series and Fourier integral
- Operational calculus
Elements of field theory
- Scalar field
- The vector field
tensor calculus
- Tensors, definitions and examples
- Operations on tensors
- Tensors in Euclidean space
- Tensor Analysis
Differential equations
- Linear ordinary differential equations and systems
- Non-linear differential equations
- Partial Differential Equations
Mathematical logic
- Set and display
- Algebra statements
- Propositional calculus
- predicates
Theory of Probability and Mathematical Statistics
- Cluchaynye events
- Cluchaynye values
- math statistics
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