Álgebra de Barsukov
por A. N. Barsukov
Traducido por Valery Manokhin, PhD
El libro de texto de álgebra estándar de la escuela soviética — diez ediciones, aproximadamente diez millones de copias. Primera traducción completa y fiel al inglés del curso de Barsukov.
12 capítulos· 130 artículos numerados
Dónde encaja en el curso escolar — EE. UU., Reino Unido y Canadá ↓Adultos y autodidactas bienvenidos — las grandes matemáticas no tienen límite de edad.
Dónde encaja en el curso escolar
Plan de estudios completo: todos los libros por curso →| Estados Unidos | 8–10 | Algebra 1 in full, plus the quadratic-function half of Algebra 2 |
|---|---|---|
| Inglaterra | Years 9–11 | GCSE Foundation and Higher — covers the algebra strand almost completely |
| Canadá (Ontario) | Ontario 9–11 | MTH1W + MPM2D, quadratics reaching MCR3U · BC Math 9, FMP 10, Pre-Calc 11 |
No incluido en este libro
estadística y tratamiento de datos · probabilidad · gráficas de las funciones trigonométricas y radianes
Estos bloques habrá que cubrirlos con otro material. Faltan en el libro, no en esta descripción.
Dónde encaja este libro
Ver la secuencia completa →Problemas para trabajar en paralelo
- Álgebra I de Kiselev$44.95
Índice
130 secciones — el índice completo del libro impreso.
Algebraic Expressions6 secciónes
- Use of Letters
- Algebraic Expressions
- Permissible values of letters
- Order of Operations
- The Fundamental Laws of Addition and Multiplication
- Brief Historical Information
Rational Numbers21 secciónes
- Positive and Negative Numbers
- Number Line
- Opposite Numbers
- Absolute Value of a Number
- Comparison of rational numbers
- Addition of Rational Numbers
- Addition of several numbers
- Laws of Addition
- Subtraction of Rational Numbers
- Algebraic sum
- Multiplication
- Multiplication of Several Numbers
- Laws of Multiplication
- Division
- Properties of Division
- Raising to a Power
- Order of Performing Operations
- Equations
- Solving Problems by Means of Equations
- Graphs
- Brief Historical Information
Operations on Integral Algebraic Expressions18 secciónes
- Monomial and polynomial
- Identities and Identical Transformations
- Coefficient
- Arranged polynomials
- Combining Like Terms
- Addition of monomials and polynomials
- Opposite Polynomials
- Subtraction of monomials and polynomials
- Multiplication of monomials
- Multiplication of a polynomial by a monomial
- Multiplication of polynomials
- Multiplication of arranged polynomials
- Raising monomials to a power
- Formulas for abbreviated multiplication
- General remarks on the division of integral algebraic expressions
- Division of monomials
- Division of a polynomial by a monomial
- Examples of solving equations
First-Degree Equations8 secciónes
- General information
- Equivalent Equations
- Two fundamental properties of equations
- Equations containing the unknown in both sides
- Linear Equation with One Unknown
- General instructions for solving equations
- Solving problems by means of equations
- Brief Historical Information
Factoring Polynomials6 secciónes
- The Concept of Factoring
- Factoring Out a Common Factor
- The grouping method
- Application of the formulas of abbreviated multiplication
- Application of Several Methods
- Division of polynomials by means of factorization
Algebraic Fractions12 secciónes
- The Concept of an Algebraic Fraction
- The Fundamental Property of a Fraction and Reduction of Fractions
- Changing the Sign of the Terms of a Fraction
- Negative integer and zero powers of a number
- Reducing fractions to a common denominator
- Addition of Fractions
- Subtraction of fractions
- Multiplication of fractions
- Division of Fractions
- Raising a Fraction to a Natural Power
- Fractional equations
- Examples of solving equations with literal coefficients
Coordinates and Simplest Graphs5 secciónes
- Coordinates of a Point on the Plane
- Directly proportional dependence
- Graph of a Directly Proportional Dependence
- Linear dependence
- Inversely proportional dependence
Systems of First-Degree Equations8 secciónes
- Equation of the first degree with two unknowns
- A system of two first-degree equations with two unknowns
- Equivalent systems
- Solving systems of equations
- Graphical solution of a system of two equations
- Solving problems
- An Equation with Three Unknowns
- A system of three equations with three unknowns
The Slide Rule (Logarithmic Ruler)4 secciónes
- Uniform and non-uniform scales
- Construction of the calculating (logarithmic) slide rule
- The Main Scale
- Multiplication and division by means of the slide rule
The Square Root12 secciónes
- Construction of the graph of the dependence y=x^2
- Calculation of squares of numbers from tables and by means of the slide rule
- The Concept of Extracting a Root
- Arithmetic root
- Approximate square root of a positive number
- Graph of the relation y= x
- Extraction of the square root from whole numbers
- Extraction of the root to an accuracy of 0.1; 0.01; etc
- The square root of a product, fraction, and power
- Simplest transformations
- Extraction of the square root by tables and by means of the slide rule
- Brief Historical Information
Quadratic Equations13 secciónes
- Quadratic equations
- Equation of the form ax^2+bx=0
- An Equation of the Form ax^2+c=0
- Reduced quadratic equation
- Quadratic Equation of the General Form
- Discriminant
- Graphical solution of a quadratic equation
- Solution of problems leading to quadratic equations
- Vieta's Theorem
- Investigation of the roots of a quadratic equation
- Factorization of a quadratic trinomial into factors
- Systems of two equations, of which one is of the second degree and one of the first degree
- Brief Historical Information
Functions and Graphs17 secciónes
- Variable quantities
- Concept of Functional Dependence
- Argument and function
- Ways of Specifying a Function
- The Function y=kx
- Linear Function
- Quadratic trinomial
- Graph of the function y = x^2 + n
- Graph of the function y=(x+m)^2
- Graph of the trinomial y=x^2+px+q
- Graph of the trinomial y=ax^2+bx+c
- Increase and decrease of a quadratic trinomial
- The function y=x^3 and its graph
- The Concept of the Cube Root
- Approximate extraction of the cube root
- Graph of the function y= [3]x
- Examples of the graphical solution of equations and systems of equations
Formatos y ediciones
| Formato | Precio | ISBN-13 | Dónde | Comprar |
|---|---|---|---|---|
| Edición digital | $54.95 | — | Gumroad · Lectura en línea | Comprar → |
| Kindle | $59.95 | — | Amazon | Comprar → |
| Tapa blanda | $59.95 | 978-1-919012-11-7 | Amazon | Comprar → |
| Tapa dura | $94.95 | 978-1-919012-12-4 | Amazon | Comprar → |
Los precios son los de lista del editor. Amazon fija el precio final en cada tienda.
La edición digital se lee en línea en el lector de Gumroad. No es un archivo descargable.
Detalles del producto
- Editorial
- Northern Star Academic Press
- Idioma
- English
- Traductor
- Valery Manokhin, PhD
- Primera publicación
- 2026-07-12
Publicado por Northern Star Academic Press · Primera traducción fiel del original ruso
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