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" College algebra. "
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BL
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| Record Number
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843266
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| Main Entry
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Spiegel, Murray R.
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| Title & Author
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College algebra.
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| Edition Statement
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Fifth edition // Robert E. Moyer, PhD, Murray R. Spiegel, PhD.
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| Publication Statement
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New York :: McGraw-Hill Education,, [2019]
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, ©2019
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| Series Statement
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Schaum's outline series
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| Page. NO
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xi, 451 pages :: illustrations ;; 28 cm
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| ISBN
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1260120767
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: 9781260120769
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| Notes
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Includes index.
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Previous edition: 2014.
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Spiegel's name is given first on previous editions.
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| Contents
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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 -- 2. Fundamental operations with algebraic expressions -- Algebraic expressions -- Terms -- Degree -- Grouping -- Computation with algebraic expressions -- 3. Properties of numbers -- Sets of numbers -- Properties -- Additional properties -- 4. Special products -- Products yielding answers of the form a"+b" -- 5. Factoring -- Factorization procedures -- Greatest common factor -- Least common factor -- 6. Fractions -- Rational algebraic fractions -- Operations with algebraic fractions -- Complex fractions -- 7. Exponents -- Positive integral exponent -- Negative integral exponent -- Roots -- Rational exponents -- General laws of exponents -- Scientific notation -- 8. Radicals -- Radical expressions -- Laws for radicals -- Simplifying radicals -- Operations with radicals -- Rationalizing binomial denominators -- 9. Simple operations with complex numbers -- Complex numbers -- Graphical representation of complex numbers -- Algebraic operations with complex numbers -- 10. Equations in general -- Operations used in transforming equations -- Equivalent equations -- Formulas -- Polynomial equations -- 11. Ratio, proportion, and variation -- Unit price -- Best buy -- 12. Functions and graphs -- Variables -- Relations -- Functions -- Function notation -- Rectangular coordinate system -- Function of two variables -- Symmetry -- Shifts -- Scaling -- Using a graphing calculator -- 13. Linear equations in one variable -- Linear equations -- Literal equations -- Word 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 equation of a line -- Intercept form of equation of a line -- 15. Simultaneous linear equations -- Systems of two linear equations -- Systems of three linear equations.
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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 -- 17. Conic sections -- General quadratic equations -- Conic sections -- Circles -- Parabolas -- Ellipses -- Hyperbolas -- Graphing conic sections with a calculator -- 18. Systems of equations involving quadratics -- Graphical solution -- Algebraic solution -- 19. Inequalities -- Definitions -- Principles of inequalities -- Absolute value inequalities -- Higher degree inequalities -- Linear inequalities in two variables -- Systems of linear inequalities -- Linear programming -- 20. Polynomial functions -- Polynomial equations -- Zeros of polynomial equations -- Solving polynomial equations -- Approximating real zeros -- 21. Rational functions -- Vertical asymptotes -- Horizontal asymptotes -- Graphing rational functions -- Graphing rational functions using a graphing calculator -- 22. Sequences and series -- Sequences -- Arithmetic sequences -- Geometric sequences -- Infinite geometric series -- Harmonic sequences -- Means -- 23. Logarithms -- Definition of a logarithm -- Laws of logarithms -- Common logarithms -- Using a common logarithm table -- Using a natural logarithms table -- Finding logarithms using a calculator -- 24. Applications of logarithms and exponents -- Simple interest -- Compound interest -- Applications of logarithms -- Applications of exponents -- 25. Permutations and combinations -- Fundamental counting principle -- Permutations -- Combinations -- Using a calculator -- 26. The binomial theorem -- Combinatorial notation -- Expansion of (a+x)n -- 27. Probability -- Simple probability -- Compound probability -- Mathematical expectation -- Binomial probability -- Conditional probability -- 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 -- 29. Matrices -- Operations with matrices -- Elementary row operations -- Inverse of a matrix -- Matrix equations -- Matrix solution of a system of equations -- 30. Mathematical induction -- Principle of mathematical induction -- Proof by mathematical induction -- 31. Partial fractions -- Rational fractions -- Proper fractions -- Partial fractions -- Identically equal polynomials -- Fundamental theorem -- Finding the partial fraction decomposition -- 32. Solving higher degree equations -- The iteration method -- The bisection method -- The approximation method -- 33. Algebra for calculus -- Introduction -- Limit of a sequence -- Limit of a series -- Convergence and divergence -- Limit of a function -- Appendix A. Table of common logarithms -- Appendix B. Table of natural logarithms.
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| Abstract
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Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes more than 1,900 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. Helpful tables and illustrations increase your understanding of the subject at hand. This Schaum's Outline gives you -1,940 fully solved problems -Hundreds of additional practice problems with answers -Coverage of all course concepts. Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores! Schaum's Outlines--Problem Solved.
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| Subject
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Algebra, Problems, exercises, etc.
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| Subject
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Algebra.
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| Subject
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Algebra.
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| Dewey Classification
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512.9
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| LC Classification
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QA157.S725 2019
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| Added Entry
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Moyer, Robert E.
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| Parallel Title
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Schaum's outlines
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