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Schaum's outline of college algebra [electronic resource] / Murrary R. Spiegel, Robert E. Moyer.

Por: Spiegel, Murray R [].
Colaborador(es): Moyer, Robert E [].
Tipo de material: TextoTextoSeries Schaum's outlines series: Editor: New York, N.Y. : McGraw-Hill Education LLC., c2014, 2006, 1998, 1956Edición: 4th ed.Descripción: xii, 388 p. : ill., figs., tables.ISBN: 9780071821810 (print); 0071821813 (print); 9780071825856 (basic ebook); 0071825851 (basic ebook); 9780071824262 (enhanced ebook); 007182426X (enhanced ebook).Otro título: College algebra.Tema(s): Algebra | Algebra -- Problems, exercises, etcClasificación CDD: 512.14 Recursos en línea: Haga clic para acceso en línea Also issued in print and PDF version.
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.
Resumen: Includes more than 1,900 solved problems, examples, and practice exercises to sharpen your problem-solving skills of algebra.
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"1,940 fully solved problems; 30 problem-solving videos online"-- Cover

"Use with these courses."-- Cover

"College Algebra - Precalculus Algebra I - Algebra II - Linear Algebra - Arithmetic and Topics in Algebra - Intermediate Algebra - Functions and Graphs."-- Cover

Includes bibliographical references and indexes.

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.

Includes more than 1,900 solved problems, examples, and practice exercises to sharpen your problem-solving skills of algebra.

Also issued in print and PDF version.

Description based on cover image and table of contents, viewed on Aug. 21, 2014.


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