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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