Справочник по математике 3.0.2

This guide includes:
Elementary geometry
- planimetry
- stereometry
Geometric transformations
The Beginnings of Analysis and Algebra
- algebraic transformations
- trigonometric formulas
- basic formulas for hyperbolic functions
- elements of combinatorics, 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
- the simplest equations and inequalities containing the module
- methods for the approximate solution of equations of the form f (x) = 0 (f is continuous)
Analytic geometry
- coordinate systems on the plane and in space
- transformation of Cartesian rectangular coordinates in the plane
- the simplest problems of analytic geometry
is a line in the plane
- line in space
- plane
- lines of the second degree
- surfaces of the second degree
Higher algebra
- complex numbers
- polynomials
- determinants
- matrix calculus
- systems of linear equations
- linear spaces
- Euclidean spaces
linear transformations 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 function of scalar arguments
- flat lines
- Spatial lines
- surfaces
- special classes of lines and surfaces
Integral calculus
is an indefinite integral
- tables of indefinite integrals
is a definite integral
- integrals of functions of several variables
- improper integrals and integrals depending on the parameter
Complex analysis
complex-valued functions of the real variable
- complex functions
The Fourier series, the Fourier integral
- operational calculus
Elements of field theory
- scalar field
- vector field
Tensor calculus
- tensors, definitions and examples
- Actions on tensors
- tensors in Euclidean space
- tensor analysis
Differential equations
- linear ordinary differential equations and systems
- nonlinear differential equations
- partial differential equations
Mathematical Logic
- sets and mappings
- Propositional algebra
- propositional calculus
- predicates
Theory of Probability and Mathematical Statistics
- random events
- random variables
- math statistics