{"product_id":"precalculus-isbn-9781119443339","title":"Precalculus","description":"\u003cp\u003eSheldon Axler's \u003cb\u003e\u003ci\u003ePrecalculus: A Prelude to Calculus, 3rd Edition \u003c\/i\u003e\u003c\/b\u003efocuses only on topics that students actually need to succeed in calculus.  This book is geared towards courses with intermediate algebra prerequisites and it does not assume that students remember any trigonometry. It covers topics such as inverse functions, logarithms, half-life and exponential growth, area, e, the exponential function, the natural logarithm and trigonometry. \u003c\/p\u003e \u003cp\u003eAbout the Author v\u003c\/p\u003e \u003cp\u003ePreface to the Instructor xv\u003c\/p\u003e \u003cp\u003eAcknowledgments xxi\u003c\/p\u003e \u003cp\u003ePreface to the Student xxiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 0 The Real Numbers 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e0.1 The Real Line 2\u003c\/p\u003e \u003cp\u003eConstruction of the Real Line 2\u003c\/p\u003e \u003cp\u003eIs Every Real Number Rational? 3\u003c\/p\u003e \u003cp\u003eProblems 5\u003c\/p\u003e \u003cp\u003e0.2 Algebra of the Real Numbers 6\u003c\/p\u003e \u003cp\u003eCommutativity and Associativity 6\u003c\/p\u003e \u003cp\u003eThe Order of Algebraic Operations 7\u003c\/p\u003e \u003cp\u003eThe Distributive Property 8\u003c\/p\u003e \u003cp\u003eAdditive Inverses and Subtraction 9\u003c\/p\u003e \u003cp\u003eMultiplicative Inverses and the Algebra of Fractions 10\u003c\/p\u003e \u003cp\u003eSymbolic Calculators 13\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 15\u003c\/p\u003e \u003cp\u003e0.3 Inequalities, Intervals, and Absolute Value 20\u003c\/p\u003e \u003cp\u003ePositive and Negative Numbers 20\u003c\/p\u003e \u003cp\u003eInequalities 21\u003c\/p\u003e \u003cp\u003eIntervals 23\u003c\/p\u003e \u003cp\u003eAbsolute Value 25\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 29\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions 35\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1 Functions and Their Graphs 37\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Functions 38\u003c\/p\u003e \u003cp\u003eDefinition and Examples 38\u003c\/p\u003e \u003cp\u003eThe Domain of a Function 41\u003c\/p\u003e \u003cp\u003eThe Range of a Function 42\u003c\/p\u003e \u003cp\u003eFunctions via Tables 44\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 45\u003c\/p\u003e \u003cp\u003e1.2 The Coordinate Plane and Graphs 50\u003c\/p\u003e \u003cp\u003eThe Coordinate Plane 50\u003c\/p\u003e \u003cp\u003eThe Graph of a Function 52\u003c\/p\u003e \u003cp\u003eDetermining the Domain and Range from a Graph 54\u003c\/p\u003e \u003cp\u003eWhich Sets are Graphs of Functions? 56\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 56\u003c\/p\u003e \u003cp\u003e1.3 Function Transformations and Graphs 63\u003c\/p\u003e \u003cp\u003eVertical Transformations: Shifting, Stretching, and Flipping 63\u003c\/p\u003e \u003cp\u003eHorizontal Transformations: Shifting, Stretching, Flipping 66\u003c\/p\u003e \u003cp\u003eCombinations of Vertical Function Transformations 68\u003c\/p\u003e \u003cp\u003eEven Functions 71\u003c\/p\u003e \u003cp\u003eOdd Functions 72\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 73\u003c\/p\u003e \u003cp\u003e1.4 Composition of Functions 81\u003c\/p\u003e \u003cp\u003eCombining Two Functions 81\u003c\/p\u003e \u003cp\u003eDefinition of Composition 82\u003c\/p\u003e \u003cp\u003eDecomposing Functions 85\u003c\/p\u003e \u003cp\u003eComposing More than Two Functions 85\u003c\/p\u003e \u003cp\u003eFunction Transformations as Compositions 86\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 88\u003c\/p\u003e \u003cp\u003e1.5 Inverse Functions 93\u003c\/p\u003e \u003cp\u003eThe Inverse Problem 93\u003c\/p\u003e \u003cp\u003eOne-to-one Functions 94\u003c\/p\u003e \u003cp\u003eThe Definition of an Inverse Function 95\u003c\/p\u003e \u003cp\u003eThe Domain and Range of an Inverse Function 97\u003c\/p\u003e \u003cp\u003eThe Composition of a Function and Its Inverse 98\u003c\/p\u003e \u003cp\u003eComments About Notation 99\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 101\u003c\/p\u003e \u003cp\u003e1.6 A Graphical Approach to Inverse Functions 106\u003c\/p\u003e \u003cp\u003eThe Graph of an Inverse Function 106\u003c\/p\u003e \u003cp\u003eGraphical Interpretation of One-to-One 107\u003c\/p\u003e \u003cp\u003eIncreasing and Decreasing Functions 108\u003c\/p\u003e \u003cp\u003eInverse Functions via Tables 110\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 111\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions 115\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2 Linear, Quadratic, Polynomial, and Rational Functions 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Lines and Linear Functions 120\u003c\/p\u003e \u003cp\u003eSlope 120\u003c\/p\u003e \u003cp\u003eThe Equation of a Line 121\u003c\/p\u003e \u003cp\u003eParallel Lines 125\u003c\/p\u003e \u003cp\u003ePerpendicular Lines 126\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 128\u003c\/p\u003e \u003cp\u003e2.2 Quadratic Functions and Conics 135\u003c\/p\u003e \u003cp\u003eCompleting the Square and the Quadratic Formula 135\u003c\/p\u003e \u003cp\u003eParabolas and Quadratic Functions 138\u003c\/p\u003e \u003cp\u003eCircles 140\u003c\/p\u003e \u003cp\u003eEllipses 142\u003c\/p\u003e \u003cp\u003eHyperbolas 144\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 146\u003c\/p\u003e \u003cp\u003e2.3 Exponents 157\u003c\/p\u003e \u003cp\u003ePositive Integer Exponents 157\u003c\/p\u003e \u003cp\u003eDefining \u003ci\u003ex\u003c\/i\u003e0 159\u003c\/p\u003e \u003cp\u003eNegative Integer Exponents 160\u003c\/p\u003e \u003cp\u003eRoots 161\u003c\/p\u003e \u003cp\u003eRational Exponents 164\u003c\/p\u003e \u003cp\u003eProperties of Exponents 165\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 166∂\u003c\/p\u003e \u003cp\u003e2.4 Polynomials 174\u003c\/p\u003e \u003cp\u003eThe Degree of a Polynomial 174\u003c\/p\u003e \u003cp\u003eThe Algebra of Polynomials 175\u003c\/p\u003e \u003cp\u003eZeros and Factorization of Polynomials 177\u003c\/p\u003e \u003cp\u003eThe Behavior of a Polynomial Near ±∞ 179\u003c\/p\u003e \u003cp\u003eGraphs of Polynomials 181\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 182\u003c\/p\u003e \u003cp\u003e2.5 Rational Functions 187\u003c\/p\u003e \u003cp\u003eThe Algebra of Rational Functions 187\u003c\/p\u003e \u003cp\u003eDivision of Polynomials 188\u003c\/p\u003e \u003cp\u003eThe Behavior of a Rational Function Near ±∞ 191\u003c\/p\u003e \u003cp\u003eGraphs of Rational Functions 194\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 195\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions 201\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3 Exponential Functions, Logarithms, and \u003ci\u003ee\u003c\/i\u003e 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Logarithms as Inverses of Exponential Functions 204\u003c\/p\u003e \u003cp\u003eExponential Functions 204\u003c\/p\u003e \u003cp\u003eLogarithms Base 2 206\u003c\/p\u003e \u003cp\u003eLogarithms with Any Base 207\u003c\/p\u003e \u003cp\u003eCommon Logarithms and the Number of Digits 208\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 209\u003c\/p\u003e \u003cp\u003e3.2 The Power Rule for Logarithms 214\u003c\/p\u003e \u003cp\u003eLogarithm of a Power 214\u003c\/p\u003e \u003cp\u003eRadioactive Decay and Half-Life 215\u003c\/p\u003e \u003cp\u003eChange of Base 217\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 219\u003c\/p\u003e \u003cp\u003e3.3 The Product and Quotient Rules for Logarithms 223\u003c\/p\u003e \u003cp\u003eLogarithm of a Product 223\u003c\/p\u003e \u003cp\u003eLogarithm of a Quotient 224\u003c\/p\u003e \u003cp\u003eEarthquakes and the Richter Scale 225\u003c\/p\u003e \u003cp\u003eSound Intensity and Decibels 226\u003c\/p\u003e \u003cp\u003eStar Brightness and Apparent Magnitude 227\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 228\u003c\/p\u003e \u003cp\u003e3.4 Exponential Growth 235\u003c\/p\u003e \u003cp\u003eFunctions with Exponential Growth 236\u003c\/p\u003e \u003cp\u003ePopulation Growth 239\u003c\/p\u003e \u003cp\u003eCompound Interest 241\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 245\u003c\/p\u003e \u003cp\u003e3.5 \u003ci\u003ee \u003c\/i\u003eand the Natural Logarithm 250\u003c\/p\u003e \u003cp\u003eEstimating Area Using Rectangles 250\u003c\/p\u003e \u003cp\u003eDefining \u003ci\u003ee \u003c\/i\u003e252\u003c\/p\u003e \u003cp\u003eDefining the Natural Logarithm 254\u003c\/p\u003e \u003cp\u003eProperties of the Exponential Function and Natural Logarithm 255\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 256\u003c\/p\u003e \u003cp\u003e3.6 Approximations and Area with \u003ci\u003ee \u003c\/i\u003eand ln 262\u003c\/p\u003e \u003cp\u003eApproximation of the Natural Logarithm 262\u003c\/p\u003e \u003cp\u003eApproximations with the Exponential Function 263\u003c\/p\u003e \u003cp\u003eAn Area Formula 265\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 267\u003c\/p\u003e \u003cp\u003e3.7 Exponential Growth Revisited 270\u003c\/p\u003e \u003cp\u003eContinuously Compounded Interest 270\u003c\/p\u003e \u003cp\u003eContinuous Growth Rates 271\u003c\/p\u003e \u003cp\u003eDoubling Your Money 272\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 274\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions 278\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4 Trigonometric Functions 281\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 The Unit Circle 282\u003c\/p\u003e \u003cp\u003eThe Equation of the Unit Circle 282\u003c\/p\u003e \u003cp\u003eAngles in the Unit Circle 283\u003c\/p\u003e \u003cp\u003eNegative Angles 284\u003c\/p\u003e \u003cp\u003eAngles Greater than 360◦ 286\u003c\/p\u003e \u003cp\u003eLength of a Circular Arc 287\u003c\/p\u003e \u003cp\u003eSpecial Points on the Unit Circle 287\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 289\u003c\/p\u003e \u003cp\u003e4.2 Radians 295\u003c\/p\u003e \u003cp\u003eA Natural Unit of Measurement for Angles 295\u003c\/p\u003e \u003cp\u003eThe Radius Corresponding to an Angle 298\u003c\/p\u003e \u003cp\u003eLength of a Circular Arc 300\u003c\/p\u003e \u003cp\u003eArea of a Slice 301\u003c\/p\u003e \u003cp\u003eSpecial Points on the Unit Circle 301\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 302\u003c\/p\u003e \u003cp\u003e4.3 Cosine and Sine 307\u003c\/p\u003e \u003cp\u003eDefinition of Cosine and Sine 307\u003c\/p\u003e \u003cp\u003eThe Signs of Cosine and Sine 309\u003c\/p\u003e \u003cp\u003eThe Key Equation Connecting Cosine and Sine 310\u003c\/p\u003e \u003cp\u003eThe Graphs of Cosine and Sine 311\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 313\u003c\/p\u003e \u003cp\u003e4.4 More Trigonometric Functions 317\u003c\/p\u003e \u003cp\u003eDefinition of Tangent 317\u003c\/p\u003e \u003cp\u003eThe Sign of Tangent 318\u003c\/p\u003e \u003cp\u003eConnections Among Cosine, Sine, and Tangent 319\u003c\/p\u003e \u003cp\u003eThe Graph of Tangent 320\u003c\/p\u003e \u003cp\u003eThree More Trigonometric Functions 321\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 322\u003c\/p\u003e \u003cp\u003e4.5 Trigonometry in Right Triangles 327\u003c\/p\u003e \u003cp\u003eTrigonometric Functions via Right Triangles 327\u003c\/p\u003e \u003cp\u003eTwo Sides of a Right Triangle 328\u003c\/p\u003e \u003cp\u003eOne Side and One Angle of a Right Triangle 329\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 331\u003c\/p\u003e \u003cp\u003e4.6 Trigonometric Identities 336\u003c\/p\u003e \u003cp\u003eThe Relationship Among Cosine, Sine, and Tangent 336\u003c\/p\u003e \u003cp\u003eTrigonometric Identities for the Negative of an Angle 338\u003c\/p\u003e \u003cp\u003eTrigonometric Identities with \u003ci\u003eπ\/\u003c\/i\u003e2 339\u003c\/p\u003e \u003cp\u003eTrigonometric Identities Involving a Multiple of \u003ci\u003eπ \u003c\/i\u003e341\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 343\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions 348\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5 Trigonometric Algebra and Geometry 351\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Inverse Trigonometric Functions 352\u003c\/p\u003e \u003cp\u003eThe Arccosine Function 352\u003c\/p\u003e \u003cp\u003eThe Arcsine Function 354\u003c\/p\u003e \u003cp\u003eThe Arctangent Function 357\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 359\u003c\/p\u003e \u003cp\u003e5.2 Inverse Trigonometric Identities 365\u003c\/p\u003e \u003cp\u003eComposition of Trigonometric Functions and Their Inverses 365\u003c\/p\u003e \u003cp\u003eMore Inverse Functions 366\u003c\/p\u003e \u003cp\u003eMore Compositions with Inverse Trigonometric Functions 367\u003c\/p\u003e \u003cp\u003eThe Arccosine, Arcsine, and Arctangent of \u003ci\u003e−t \u003c\/i\u003e369\u003c\/p\u003e \u003cp\u003eArccosine Plus Arcsine 370\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 371\u003c\/p\u003e \u003cp\u003e5.3 Using Trigonometry to Compute Area 375\u003c\/p\u003e \u003cp\u003eThe Area of a Triangle via Trigonometry 375\u003c\/p\u003e \u003cp\u003eAmbiguous Angles 376\u003c\/p\u003e \u003cp\u003eThe Area of a Parallelogram via Trigonometry 377\u003c\/p\u003e \u003cp\u003eThe Area of a Polygon 378\u003c\/p\u003e \u003cp\u003eTrigonometric Approximations 380\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 383\u003c\/p\u003e \u003cp\u003e5.4 The Law of Sines and the Law of Cosines 388\u003c\/p\u003e \u003cp\u003eThe Law of Sines 388\u003c\/p\u003e \u003cp\u003eThe Law of Cosines 390\u003c\/p\u003e \u003cp\u003eWhen to Use Which Law 393\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 395\u003c\/p\u003e \u003cp\u003e5.5 Double-Angle and Half-Angle Formulas 402\u003c\/p\u003e \u003cp\u003eThe Cosine of 2\u003ci\u003eθ \u003c\/i\u003e402\u003c\/p\u003e \u003cp\u003eThe Sine of 2\u003ci\u003eθ \u003c\/i\u003e403\u003c\/p\u003e \u003cp\u003eThe Tangent of 2\u003ci\u003eθ \u003c\/i\u003e404\u003c\/p\u003e \u003cp\u003eThe Cosine and Sine of \u003ci\u003eθ\/\u003c\/i\u003e2 404\u003c\/p\u003e \u003cp\u003eThe Tangent of \u003ci\u003eθ\/\u003c\/i\u003e2 406\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 407\u003c\/p\u003e \u003cp\u003e5.6 Addition and Subtraction Formulas 414\u003c\/p\u003e \u003cp\u003eThe Cosine of a Sum and Difference 414\u003c\/p\u003e \u003cp\u003eThe Sine of a Sum and Difference 416\u003c\/p\u003e \u003cp\u003eThe Tangent of a Sum and Difference 417\u003c\/p\u003e \u003cp\u003eProducts of Trigonometric Functions 418\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 418\u003c\/p\u003e \u003cp\u003e5.7 Transformations of Trigonometric Functions 423\u003c\/p\u003e \u003cp\u003eAmplitude 423\u003c\/p\u003e \u003cp\u003ePeriod 425\u003c\/p\u003e \u003cp\u003ePhase Shift 426\u003c\/p\u003e \u003cp\u003eFitting Transformations of Trigonometric Functions to Data 429\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 430\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions 437\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6 Sequences, Series, and Limits 439\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Sequences 440\u003c\/p\u003e \u003cp\u003eIntroduction to Sequences 440\u003c\/p\u003e \u003cp\u003eArithmetic Sequences 442\u003c\/p\u003e \u003cp\u003eGeometric Sequences 443\u003c\/p\u003e \u003cp\u003eRecursively Defined Sequences 445\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 448\u003c\/p\u003e \u003cp\u003e6.2 Series 453\u003c\/p\u003e \u003cp\u003eSums of Sequences 453\u003c\/p\u003e \u003cp\u003eArithmetic Series 453\u003c\/p\u003e \u003cp\u003eGeometric Series 455\u003c\/p\u003e \u003cp\u003eSummation Notation 457\u003c\/p\u003e \u003cp\u003ePascal’s Triangle 459\u003c\/p\u003e \u003cp\u003eThe Binomial Theorem 462\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 465\u003c\/p\u003e \u003cp\u003e6.3 Limits 470\u003c\/p\u003e \u003cp\u003eIntroduction to Limits 470\u003c\/p\u003e \u003cp\u003eInfinite Series 473\u003c\/p\u003e \u003cp\u003eDecimals as Infinite Series 476\u003c\/p\u003e \u003cp\u003eSpecial Infinite Series 477\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 479\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions 482\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7 Polar Coordinates, Vectors, and Complex Numbers 483\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Polar Coordinates 484\u003c\/p\u003e \u003cp\u003eDefining Polar Coordinates 484\u003c\/p\u003e \u003cp\u003eConverting from Polar to Rectangular Coordinates 485\u003c\/p\u003e \u003cp\u003eConverting from Rectangular to Polar Coordinates 485\u003c\/p\u003e \u003cp\u003eGraphs of Polar Equations 488\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 491\u003c\/p\u003e \u003cp\u003e7.2 Vectors 494\u003c\/p\u003e \u003cp\u003eAn Algebraic and Geometric Introduction to Vectors 494\u003c\/p\u003e \u003cp\u003eVector Addition 496\u003c\/p\u003e \u003cp\u003eVector Subtraction 498\u003c\/p\u003e \u003cp\u003eScalar Multiplication 500\u003c\/p\u003e \u003cp\u003eThe Dot Product 500\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 503\u003c\/p\u003e \u003cp\u003e7.3 Complex Numbers 506\u003c\/p\u003e \u003cp\u003eThe Complex Number System 506\u003c\/p\u003e \u003cp\u003eArithmetic with Complex Numbers 507\u003c\/p\u003e \u003cp\u003eComplex Conjugates and Division of Complex Numbers 508\u003c\/p\u003e \u003cp\u003eZeros and Factorization of Polynomials, Revisited 511\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 514\u003c\/p\u003e \u003cp\u003e7.4 The Complex Plane 518\u003c\/p\u003e \u003cp\u003eComplex Numbers as Points in the Plane 518\u003c\/p\u003e \u003cp\u003eGeometric Interpretation of Complex Multiplication and Division 519\u003c\/p\u003e \u003cp\u003eDe Moivre’s Theorem 522\u003c\/p\u003e \u003cp\u003eFinding Complex Roots 523\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 524\u003c\/p\u003e \u003cp\u003eChapter Summary and Chapter Review Questions 526\u003c\/p\u003e \u003cp\u003eAppendix: Area 527\u003c\/p\u003e \u003cp\u003eCircumference 527\u003c\/p\u003e \u003cp\u003eSquares, Rectangles, and Parallelograms 528\u003c\/p\u003e \u003cp\u003eTriangles and Trapezoids 529\u003c\/p\u003e \u003cp\u003eStretching 531\u003c\/p\u003e \u003cp\u003eCircles and Ellipses 531\u003c\/p\u003e \u003cp\u003eExercises, Problems, and Worked-out Solutions 534\u003c\/p\u003e \u003cp\u003ePhoto Credits 543\u003c\/p\u003e \u003cp\u003eIndex 545\u003c\/p\u003e \u003cp\u003eColophon: Notes on Typesetting 551\u003c\/p\u003e \u003cp\u003e\u003cb\u003eDr. Sheldon Axler\u003c\/b\u003e is the dean of the College of Science and Engineering at San Francisco State University in California. He has received over a dozen awards, grants, and fellowships from different organizations including the M.I.T. Teaching Award, National Science Foundation ILI Grant, and the National Science Foundation Research Grants. He had published extensively in journals and has three other books to his name.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989839036645,"sku":"NP9781119443339","price":111.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119443339.jpg?v=1761785638","url":"https:\/\/k12savings.com\/es\/products\/precalculus-isbn-9781119443339","provider":"K12savings","version":"1.0","type":"link"}