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Álgebra de Barsukov capa
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Álgebra de Barsukov

por A. N. Barsukov

Traduzido por Valery Manokhin, PhD

O livro didático de álgebra padrão da escola soviética — dez edições, cerca de dez milhões de cópias. Primeira tradução completa e fiel para o inglês do curso de Barsukov.

12 capítulos· 130 artigos numerados

Onde se encaixa na escola — EUA, Reino Unido e Canadá ↓Adultos e autodidatas são bem-vindos — a grande matemática não tem limite de idade.

$54.95Comprar Agora — Edição DigitalAmazon Capa DuraAmazon Capa ComumAmazon KindleA edição digital é lida on-line no leitor do Gumroad. Não é um arquivo para download.
Estados Unidos8–10Algebra 1 in full, plus the quadratic-function half of Algebra 2
InglaterraYears 9–11GCSE Foundation and Higher — covers the algebra strand almost completely
Canadá (Ontário)Ontario 9–11MTH1W + MPM2D, quadratics reaching MCR3U · BC Math 9, FMP 10, Pre-Calc 11

Não coberto neste livro

estatística e tratamento de dados · probabilidade · gráficos das funções trigonométricas e radianos

Estes blocos precisam vir de outro material. Faltam no livro, não nesta descrição.

Sumário

130 seções — o sumário completo do livro impresso.

Algebraic Expressions6 seções
  1. Use of Letters
  2. Algebraic Expressions
  3. Permissible values of letters
  4. Order of Operations
  5. The Fundamental Laws of Addition and Multiplication
  6. Brief Historical Information
Rational Numbers21 seções
  1. Positive and Negative Numbers
  2. Number Line
  3. Opposite Numbers
  4. Absolute Value of a Number
  5. Comparison of rational numbers
  6. Addition of Rational Numbers
  7. Addition of several numbers
  8. Laws of Addition
  9. Subtraction of Rational Numbers
  10. Algebraic sum
  11. Multiplication
  12. Multiplication of Several Numbers
  13. Laws of Multiplication
  14. Division
  15. Properties of Division
  16. Raising to a Power
  17. Order of Performing Operations
  18. Equations
  19. Solving Problems by Means of Equations
  20. Graphs
  21. Brief Historical Information
Operations on Integral Algebraic Expressions18 seções
  1. Monomial and polynomial
  2. Identities and Identical Transformations
  3. Coefficient
  4. Arranged polynomials
  5. Combining Like Terms
  6. Addition of monomials and polynomials
  7. Opposite Polynomials
  8. Subtraction of monomials and polynomials
  9. Multiplication of monomials
  10. Multiplication of a polynomial by a monomial
  11. Multiplication of polynomials
  12. Multiplication of arranged polynomials
  13. Raising monomials to a power
  14. Formulas for abbreviated multiplication
  15. General remarks on the division of integral algebraic expressions
  16. Division of monomials
  17. Division of a polynomial by a monomial
  18. Examples of solving equations
First-Degree Equations8 seções
  1. General information
  2. Equivalent Equations
  3. Two fundamental properties of equations
  4. Equations containing the unknown in both sides
  5. Linear Equation with One Unknown
  6. General instructions for solving equations
  7. Solving problems by means of equations
  8. Brief Historical Information
Factoring Polynomials6 seções
  1. The Concept of Factoring
  2. Factoring Out a Common Factor
  3. The grouping method
  4. Application of the formulas of abbreviated multiplication
  5. Application of Several Methods
  6. Division of polynomials by means of factorization
Algebraic Fractions12 seções
  1. The Concept of an Algebraic Fraction
  2. The Fundamental Property of a Fraction and Reduction of Fractions
  3. Changing the Sign of the Terms of a Fraction
  4. Negative integer and zero powers of a number
  5. Reducing fractions to a common denominator
  6. Addition of Fractions
  7. Subtraction of fractions
  8. Multiplication of fractions
  9. Division of Fractions
  10. Raising a Fraction to a Natural Power
  11. Fractional equations
  12. Examples of solving equations with literal coefficients
Coordinates and Simplest Graphs5 seções
  1. Coordinates of a Point on the Plane
  2. Directly proportional dependence
  3. Graph of a Directly Proportional Dependence
  4. Linear dependence
  5. Inversely proportional dependence
Systems of First-Degree Equations8 seções
  1. Equation of the first degree with two unknowns
  2. A system of two first-degree equations with two unknowns
  3. Equivalent systems
  4. Solving systems of equations
  5. Graphical solution of a system of two equations
  6. Solving problems
  7. An Equation with Three Unknowns
  8. A system of three equations with three unknowns
The Slide Rule (Logarithmic Ruler)4 seções
  1. Uniform and non-uniform scales
  2. Construction of the calculating (logarithmic) slide rule
  3. The Main Scale
  4. Multiplication and division by means of the slide rule
The Square Root12 seções
  1. Construction of the graph of the dependence y=x^2
  2. Calculation of squares of numbers from tables and by means of the slide rule
  3. The Concept of Extracting a Root
  4. Arithmetic root
  5. Approximate square root of a positive number
  6. Graph of the relation y= x
  7. Extraction of the square root from whole numbers
  8. Extraction of the root to an accuracy of 0.1; 0.01; etc
  9. The square root of a product, fraction, and power
  10. Simplest transformations
  11. Extraction of the square root by tables and by means of the slide rule
  12. Brief Historical Information
Quadratic Equations13 seções
  1. Quadratic equations
  2. Equation of the form ax^2+bx=0
  3. An Equation of the Form ax^2+c=0
  4. Reduced quadratic equation
  5. Quadratic Equation of the General Form
  6. Discriminant
  7. Graphical solution of a quadratic equation
  8. Solution of problems leading to quadratic equations
  9. Vieta's Theorem
  10. Investigation of the roots of a quadratic equation
  11. Factorization of a quadratic trinomial into factors
  12. Systems of two equations, of which one is of the second degree and one of the first degree
  13. Brief Historical Information
Functions and Graphs17 seções
  1. Variable quantities
  2. Concept of Functional Dependence
  3. Argument and function
  4. Ways of Specifying a Function
  5. The Function y=kx
  6. Linear Function
  7. Quadratic trinomial
  8. Graph of the function y = x^2 + n
  9. Graph of the function y=(x+m)^2
  10. Graph of the trinomial y=x^2+px+q
  11. Graph of the trinomial y=ax^2+bx+c
  12. Increase and decrease of a quadratic trinomial
  13. The function y=x^3 and its graph
  14. The Concept of the Cube Root
  15. Approximate extraction of the cube root
  16. Graph of the function y= [3]x
  17. Examples of the graphical solution of equations and systems of equations

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Edição digital$54.95—Gumroad · Leitura on-lineComprar →
Kindle$59.95—AmazonComprar →
Brochura$59.95978-1-919012-11-7AmazonComprar →
Capa dura$94.95978-1-919012-12-4AmazonComprar →

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A edição digital é lida on-line no leitor do Gumroad. Não é um arquivo para download.

Detalhes do produto

Editora
Northern Star Academic Press
Idioma
English
Tradutor
Valery Manokhin, PhD
Primeira publicação
2026-07-12

Publicado por Northern Star Academic Press · Primeira tradução fiel da edição original russa

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