This online math reference is intended for schoolchildren, students and anyone who studies mathematics. The reference book contains both the theoretical part and detailed examples, and allows you to easily and quickly obtain the necessary information on various branches of mathematics, including
arithmetic,
algebra, trigonometry and
geometry.
Arithmetic
Greatest common divisor
Least common multiple
Common fractions
Definition and examples of common fractions
Proper and improper fractions
Mixed fractions
The main property of a fraction. Reduction of fractions
Addition and subtraction of common fractions
Addition and subtraction of fractions with the same denominators
Reducing fractions to a common denominator
Addition and subtraction of fractions with different denominators
Addition and subtraction of mixed fractions
Multiplication and division of common fractions
Multiplying a fraction by an integer
Multiplication of common fractions
Division of common fractions
Algebra
Polynomials
Methods of factorization of a polynomial: factoring out a common factor, abbreviated multiplication formulas, grouping
Abbreviated multiplication formulas
Dividing a polynomial by a polynomial
Dividing a polynomial by a polynomial by a column (angle)
Method of undetermined coefficient
Division of a polynomial by a binomial according to the Horner scheme
Using the Horner's scheme to decompose a polynomial by powers of a binomial
Calculating the value of a polynomial at a given point using Horner's scheme. Bezout's theorem
Factorization of polynomials
Factorization of a third degree polynomial
Equations with one variable
Equations with one variable, equivalent equations
General methods for solving equations
Algebraic equations
Linear equations
Quadratic equations, biquadratic equations
Solving incomplete quadratic equations
Solving complete quadratic equations
Vieta's theorem for solving quadratic equations
Solving of biquadratic equations
Cubic equations
Solving cubic equations by factorization
Solving symmetric cubic equations
Cardano's formula for solving cubic equations
Quartic equations
Solving equations of the fourth degree by factorization
Solving of symmetric equations of the fourth degree
The Ferrari's method for solving equations of the fourth degree
Equations of higher degrees
Fractional-rational equations
Equations with modulus
Irrational equations
Transcendental equations and inequalities
Trigonometric equations
Exponential equations
Logarithmic equations
Solving combined equations and inequalities
Systems of equations
Systems of two linear equations with two unknowns
Systems of three linear equations with three unknowns
Cramer's formulas for solving systems of linear equations
Solution of systems of linear equations by Gauss method
Functions
Linear
Quadratic
Cubic
Power
Hyperbolic
y = √x
Trigonometric
Exponential
Logarithmic
Geometry
Areas of figures
Formulas for finding the area of a triangle
Heron's formula
Formulas for calculating the area of an equilateral triangle
Formulas for finding the area of a convex quadrilateral
Area of an arbitrary convex quadrilateral
Area of a parallelogram
Area of a rhombus
Area of a trapezoid
Formulas for finding the area of a convex polygons
Area of a convex polygon
Area of a regular polygons
Area of a circle, sector of a circle and segment of a circle
Formulas for finding the area of a circle, a sector of a circle and a segment of a circle