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Schaum's outline of college algebra
Includes more than 1,900 solved problems, examples, and practice exercises to sharpen your problem-solving skills of algebra.
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, N.Y. :
McGraw-Hill Education LLC.,
c2014, 2006, 1998, 1956.
|
| Edición: | 4th ed. |
| Colección: | Schaum's outlines series.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- A. Preface
- 1. Fundamental operations with numbers
- Four operations
- System of real numbers
- Graphical representation of real numbers
- Properties of addition and multiplication of real numbers
- Rules of signs
- Exponents and powers
- Operations with fractions
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 2. Fundamental operations with algebraic expressions
- Algebraic expressions
- Terms
- Degree
- Grouping
- Computation with algebraic expressions
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 3. Properties of numbers
- Sets of numbers
- Properties
- Additional properties
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 4. Special products
- Special products
- Products yielding answers of the form a^n ? b^n
- Solved problems
- Supplementary problems
- 5. Factoring
- Factoring
- Factorization procedures
- Greatest common factor
- Least common multiple
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 6. Fractions
- Rational algebraic fractions
- Operations with algebraic fractions
- Complex fractions
- Solved problems
- Supplementary problems
- 7. Exponents
- Positive integral exponent
- Negative integral exponent
- Roots
- Rational exponents
- General laws of exponents
- Scientific notation
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 8. Radicals
- Radical expressions
- Laws for radicals
- Simplifying radicals
- Operations with radicals
- Rationalizing binomial denominators
- Solved problems
- Supplementary problems
- 9. Simple operations with complex numbers
- Complex numbers
- Graphical representation of complex numbers
- Algebraic operations with complex numbers
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 10. Equations in general
- Equations
- Operations used in transforming equations
- Equivalent equations
- Formulas
- Polynomial equations
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 11. Ratio, proportion, and variation
- Ratio
- Proportion
- Variation
- Unit price
- Best buy
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 12. Functions and graphs
- Variables
- Relations
- Functions
- Function notation
- Rectangular coordinate system
- Function of two variables
- Symmetry
- Shifts
- Scaling
- Using a graphing calculator
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 13. Linear equations in one variable
- Linear equations
- Literal equations
- Word problems
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 14. Equations of lines
- Slope of a line
- Parallel and perpendicular lines
- Slope?intercept form of equation of a line
- Slope?point form of equation of a line
- Two-point form of equation of a line
- Intercept form of equation of a line
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 15. Simultaneous linear equations
- Systems of two linear equations
- Systems of three linear equations
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 16. Quadratic equations in one variable
- Quadratic equations
- Methods of solving quadratic equations
- Sum and product of the roots
- Nature of the roots
- Radical equations
- Quadratic-type equations
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 17. Conic sections
- General quadratic equations
- Conic sections
- Circles
- Parabolas
- Ellipses
- Hyperbolas
- Graphing conic sections with a calculator
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 18. Systems of equations involving quadratics
- Graphical solution
- Algebraic solution
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 19. Inequalities
- Definitions
- Principles of inequalities
- Absolute value inequalities
- Higher degree inequalities
- Linear inequalities in two variables
- Systems of linear inequalities
- Linear programming
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 20. Polynomial functions
- Polynomial equations
- Zeros of polynomial equations
- Solving polynomial equations
- Approximating real zeros
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 21. Rational functions
- Rational functions
- Vertical asymptotes
- Horizontal asymptotes
- Graphing rational functions
- Graphing rational functions using a graphing calculator
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 22. Sequences and series
- Sequences
- Arithmetic sequences
- Geometric sequences
- Infinite geometric series
- Harmonic sequences
- Means
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 23. Logarithms
- Definition of a logarithm
- Laws of logarithms
- Common logarithms
- Using a common logarithm table
- Natural logarithms
- Using a natural logarithm table
- Finding logarithms using a calculator
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 24. Applications of logarithms and exponents
- Introduction
- Simple interest
- Compound interest
- Applications of logarithms
- Applications of exponents
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 25. Permutations and combinations
- Fundamental counting principle
- Permutations
- Combinations
- Using a calculator
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 26. The binomial theorem
- Combinatorial notation
- Expansion of (a + x)^n
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 27. Probability
- Simple probability
- Compound probability
- Mathematical expectation
- Binomial probability
- Conditional probability
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 28. Determinants
- Determinants of second order
- Cramer's rule
- Determinants of third order
- Determinants of order n
- Properties of determinants
- Minors
- Value of a determinant of order n
- Cramer's rule for determinants of order n
- Homogeneous linear equations
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 29. Matrices
- Definition of a matrix
- Operations with matrices
- Elementary row operations
- Inverse of a matrix
- Matrix equations
- Matrix solution of a system of equations
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- 30. Mathematical induction
- Principle of mathematical induction
- Proof by mathematical induction
- Solved problems
- Supplementary problems
- 31. Partial fractions
- Rational fractions
- Proper fractions
- Partial fractions
- Identically equal polynomials
- Fundamental theorem
- Finding the partial fraction decomposition
- Solved problems
- Supplementary problems
- Answers to supplementary problems
- A. Table of common logarithms
- B. Table of natural logarithms.