{"product_id":"college-algebra-isbn-9780470470763","title":"College Algebra","description":"\u003ci\u003e\u003cb\u003eCollege Algebra, First Edition\u003c\/b\u003e\u003c\/i\u003e will appeal to those who want to give important topics more in-depth, higher-level coverage. This text offers streamlined approach accompanied with accessible definitions across all chapters to allow for an easy-to-understand read. \u003cb\u003eCollege Algebra\u003c\/b\u003e contains prose that is precise, accurate, and easy to read, with straightforward definitions of even the topics that are typically most difficult for students. About the Author. \u003cp\u003ePreface to the Instructor.\u003c\/p\u003e \u003cp\u003eAcknowledgments.\u003c\/p\u003e \u003cp\u003ePreface to the Student.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 The Real Numbers.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 The Real Line.\u003c\/p\u003e \u003cp\u003eConstruction of the Real Line.\u003c\/p\u003e \u003cp\u003eIs Every Real Number Rational?\u003c\/p\u003e \u003cp\u003eProblems.\u003c\/p\u003e \u003cp\u003e1.2 Algebra of the Real Numbers.\u003c\/p\u003e \u003cp\u003eCommutativity and Associativity.\u003c\/p\u003e \u003cp\u003eThe Order of Algebraic Operations.\u003c\/p\u003e \u003cp\u003eThe Distributive Property.\u003c\/p\u003e \u003cp\u003eAdditive Inverses and Subtraction.\u003c\/p\u003e \u003cp\u003eMultiplicative Inverses and the Algebra of Fractions.\u003c\/p\u003e \u003cp\u003eSymbolic Calculators.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e1.3 Inequalities.\u003c\/p\u003e \u003cp\u003ePositive and Negative Numbers.\u003c\/p\u003e \u003cp\u003eLesser and Greater.\u003c\/p\u003e \u003cp\u003eIntervals.\u003c\/p\u003e \u003cp\u003eAbsolute Value.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Combining Algebra and Geometry.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2.1 The Coordinate Plane.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eCoordinates.\u003c\/p\u003e \u003cp\u003eGraphs of Equations.\u003c\/p\u003e \u003cp\u003eDistance Between Two Points.\u003c\/p\u003e \u003cp\u003eLength, Perimeter, and Circumference.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2.2 Lines.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSlope.\u003c\/p\u003e \u003cp\u003eThe Equation of a Line.\u003c\/p\u003e \u003cp\u003eParallel Lines.\u003c\/p\u003e \u003cp\u003ePerpendicular Lines.\u003c\/p\u003e \u003cp\u003eMidpoints.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2.3 Quadratic Expressions and Conic Sections.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eCompleting the Square.\u003c\/p\u003e \u003cp\u003eThe Quadratic Formula.\u003c\/p\u003e \u003cp\u003eCircles.\u003c\/p\u003e \u003cp\u003eEllipses.\u003c\/p\u003e \u003cp\u003eParabolas.\u003c\/p\u003e \u003cp\u003eHyperbolas.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2.4 Area.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSquares, Rectangles, and Parallelograms.\u003c\/p\u003e \u003cp\u003eTriangles and Trapezoids.\u003c\/p\u003e \u003cp\u003eStretching.\u003c\/p\u003e \u003cp\u003eCircles and Ellipses.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Functions and Their Graphs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3.1 Functions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eDefinition and Examples.\u003c\/p\u003e \u003cp\u003eThe Graph of a Function.\u003c\/p\u003e \u003cp\u003eThe Domain of a Function.\u003c\/p\u003e \u003cp\u003eThe Range of a Function.\u003c\/p\u003e \u003cp\u003eFunctions via Tables.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3.2 Function Transformations and Graphs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVertical Transformations: Shifting, Stretching, and Flipping.\u003c\/p\u003e \u003cp\u003eHorizontal Transformations: Shifting, Stretching, Flipping.\u003c\/p\u003e \u003cp\u003eCombinations of Vertical Function Transformations.\u003c\/p\u003e \u003cp\u003eEven Functions.\u003c\/p\u003e \u003cp\u003eOdd Functions.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3.3 Composition of Functions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eCombining Two Functions.\u003c\/p\u003e \u003cp\u003eDefinition of Composition.\u003c\/p\u003e \u003cp\u003eOrder Matters in Composition.\u003c\/p\u003e \u003cp\u003eDecomposing Functions.\u003c\/p\u003e \u003cp\u003eComposing More than Two Functions.\u003c\/p\u003e \u003cp\u003eFunction Transformations as Compositions.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3.4 Inverse Functions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Inverse Problem.\u003c\/p\u003e \u003cp\u003eOne-to-one Functions.\u003c\/p\u003e \u003cp\u003eThe Definition of an Inverse Function.\u003c\/p\u003e \u003cp\u003eThe Domain and Range of an Inverse Function.\u003c\/p\u003e \u003cp\u003eThe Composition of a Function and Its Inverse.\u003c\/p\u003e \u003cp\u003eComments about Notation.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3.5 A Graphical Approach to Inverse Functions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Graph of an Inverse Function.\u003c\/p\u003e \u003cp\u003eGraphical Interpretation of One-to-One.\u003c\/p\u003e \u003cp\u003eIncreasing and Decreasing Functions.\u003c\/p\u003e \u003cp\u003eInverse Functions via Tables.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Polynomial and Rational Functions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4.1 Integer Exponents.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003ePositive Integer Exponents.\u003c\/p\u003e \u003cp\u003eProperties of Exponents.\u003c\/p\u003e \u003cp\u003eDefining x0.\u003c\/p\u003e \u003cp\u003eNegative Integer Exponents.\u003c\/p\u003e \u003cp\u003eManipulations with Exponents.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4.2 Polynomials.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Degree of a Polynomial.\u003c\/p\u003e \u003cp\u003eThe Algebra of Polynomials.\u003c\/p\u003e \u003cp\u003eZeros and Factorization of Polynomials.\u003c\/p\u003e \u003cp\u003eThe Behavior of a Polynomial Near 1.\u003c\/p\u003e \u003cp\u003eGraphs of Polynomials.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4.3 Rational Functions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eRatios of Polynomials.\u003c\/p\u003e \u003cp\u003eThe Algebra of Rational Functions.\u003c\/p\u003e \u003cp\u003eDivision of Polynomials.\u003c\/p\u003e \u003cp\u003eThe Behavior of a Rational Function Near 1.\u003c\/p\u003e \u003cp\u003eGraphs of Rational Functions.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4.4 Complex Numbers.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Complex Number System.\u003c\/p\u003e \u003cp\u003eArithmetic with Complex Numbers.\u003c\/p\u003e \u003cp\u003eComplex Conjugates and Division of Complex Numbers.\u003c\/p\u003e \u003cp\u003eZeros and Factorization of Polynomials, Revisited.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Exponents and Logarithms.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5.1 Exponents and Exponential Functions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eRoots.\u003c\/p\u003e \u003cp\u003eRational Exponents.\u003c\/p\u003e \u003cp\u003eReal Exponents\u003c\/p\u003e \u003cp\u003eExponential Functions\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5.2 Logarithms as Inverses of Exponential Functions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eLogarithms Base 2.\u003c\/p\u003e \u003cp\u003eLogarithms with Any Base.\u003c\/p\u003e \u003cp\u003eCommon Logarithms and the Number of Digits.\u003c\/p\u003e \u003cp\u003eLogarithm of a Power.\u003c\/p\u003e \u003cp\u003eRadioactive Decay and Half-Life.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e5.3 Applications of Logarithms.\u003c\/p\u003e \u003cp\u003eLogarithm of a Product.\u003c\/p\u003e \u003cp\u003eLogarithm of a Quotient.\u003c\/p\u003e \u003cp\u003eEarthquakes and the Richter Scale.\u003c\/p\u003e \u003cp\u003eSound Intensity and Decibels.\u003c\/p\u003e \u003cp\u003eStar Brightness and Apparent Magnitude.\u003c\/p\u003e \u003cp\u003eChange of Base.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5.4 Exponential Growth.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eFunctions with Exponential Growth.\u003c\/p\u003e \u003cp\u003ePopulation Growth.\u003c\/p\u003e \u003cp\u003eCompound Interest\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 e and the Natural Logarithm.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6.1 Defining e and ln.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eEstimating Area Using Rectangles.\u003c\/p\u003e \u003cp\u003eDefining e.\u003c\/p\u003e \u003cp\u003eDefining the Natural Logarithm.\u003c\/p\u003e \u003cp\u003eProperties of the Exponential Function and ln.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6.2 Approximations with e and ln.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eApproximation of the Natural Logarithm.\u003c\/p\u003e \u003cp\u003eInequalities with the Natural Logarithm.\u003c\/p\u003e \u003cp\u003eApproximations with the Exponential Function.\u003c\/p\u003e \u003cp\u003eAn Area Formula.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6.3 Exponential Growth Revisited.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eContinuously Compounded Interest.\u003c\/p\u003e \u003cp\u003eContinuous Growth Rates.\u003c\/p\u003e \u003cp\u003eDoubling Your Money\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Systems of Equations and Inequalities.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7.1 Equations and Systems of Equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSolving an Equation.\u003c\/p\u003e \u003cp\u003eSolving a System of Equations.\u003c\/p\u003e \u003cp\u003eSystems of Linear Equations.\u003c\/p\u003e \u003cp\u003eMatrices.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7.2 Solving Systems of Linear Equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eGaussian Elimination.\u003c\/p\u003e \u003cp\u003eGaussian Elimination with Matrices.\u003c\/p\u003e \u003cp\u003eSpecial Cases—No Solutions.\u003c\/p\u003e \u003cp\u003eSpecial Cases—Infinitely Many Solutions.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e7.3 Matrix Algebra.\u003c\/p\u003e \u003cp\u003eAdding and Subtracting Matrices.\u003c\/p\u003e \u003cp\u003eMultiplying Matrices.\u003c\/p\u003e \u003cp\u003eThe Inverse of a Matrix.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Sequences, Series, and Limits.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8.1 Sequences.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction to Sequences.\u003c\/p\u003e \u003cp\u003eArithmetic Sequences.\u003c\/p\u003e \u003cp\u003eGeometric Sequences.\u003c\/p\u003e \u003cp\u003eRecursively-Defined Sequences.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8.2 Series.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSums of Sequences.\u003c\/p\u003e \u003cp\u003eArithmetic Series.\u003c\/p\u003e \u003cp\u003eGeometric Series.\u003c\/p\u003e \u003cp\u003eSummation Notation.\u003c\/p\u003e \u003cp\u003eThe Binomial Theorem.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8.3 Limits.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction to Limits.\u003c\/p\u003e \u003cp\u003eInfinite Series.\u003c\/p\u003e \u003cp\u003eDecimals as Infinite Series.\u003c\/p\u003e \u003cp\u003eSpecial Infinite Series.\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions.\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eSheldon Axler\u003c\/b\u003e is well-known within the mathematics community. He has an Ivy League education, having received his AB in mathematics from Princeton in 1971, and his PhD in mathematics from UC Berkeley in 1975. Currently, Sheldon is the Dean of the College of Science and Engineering at SFSU. Previously, he held teaching positions at Michigan State, UC Berkeley, Indiana University, and MIT. He has received numerous grants, awards, and fellowships throughout his career. He regularly speaks at conferences and conventions and has done extensive writing in his discipline. Notably, he is the author of a successful textbook for the second course in linear Algebra, published with Springer and has held several editorial positions for mathematics journals and is currently a series editor for Springer.\u003cbr\u003eAs the author for Wiley's \u003ci\u003ePrecalculus: A Prelude to Calculus\u003c\/i\u003e, Sheldon has shown himself an able and willing promoter of his title, garnering the interest of his colleagues nationwide and proving himself a valuable and responsive resource for our sales force.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988945584357,"sku":"NP9780470470763","price":181.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470470763.jpg?v=1761782157","url":"https:\/\/k12savings.com\/products\/college-algebra-isbn-9780470470763","provider":"K12savings","version":"1.0","type":"link"}