Preface to the Fourth Edition Preface to the Second Edition Preface to the First Edition Contents CHAPTER 1 Preliminaries CHAPTER 2 Polynomials CHAPTER 3 Exponents CHAPTER 4 Rational and Radical Expressions CHAPTER 5 Linear and Nonlinear Equations CHAPTER 6 Linear and Nonlinear Inequalities CHAPTER 7 Absolute Value in Equations and Inequalities CHAPTER 8 Analytic Geometry CHAPTER 9 Functions CHAPTER 10 Linear Functions CHAPTER 11 Transformations and Graphs CHAPTER 12 Quadratic Functions CHAPTER 13 Algebra of Functions; Inverse Functions CHAPTER 14 Polynomial Functions CHAPTER 15 Rational Functions CHAPTER 16 Algebraic Functions; Variation CHAPTER 17 Exponential Functions CHAPTER 18 Logarithmic Functions CHAPTER 19 Exponential and Logarithmic Equations CHAPTER 20 Trigonometric Functions CHAPTER 21 Graphs of Trigonometric Functions CHAPTER 22 Angles CHAPTER 23 Trigonometric Identities and Equations CHAPTER 24 Sum, Difference, Multiple, and Half-Angle Formulas CHAPTER 25 Inverse Trigonometric Functions CHAPTER 26 Triangles CHAPTER 27 Vectors CHAPTER 28 Polar Coordinates; Parametric Equations CHAPTER 29 Trigonometric Form of Complex Numbers CHAPTER 30 Systems of Linear Equations CHAPTER 31 Gaussian and Gauss-Jordan Elimination CHAPTER 32 Partial Fraction Decomposition CHAPTER 33 Nonlinear Systems of Equations CHAPTER 34 Introduction to Matrix Algebra CHAPTER 35 Matrix Multiplication and Inverses CHAPTER 36 Determinants and Cramer's Rule CHAPTER 37 Loci; Parabolas CHAPTER 38 Ellipses and Hyperbolas CHAPTER 39 Rotation of Axes CHAPTER 40 Conic Sections CHAPTER 41 Sequences and Series CHAPTER 42 The Principle of Mathematical Induction CHAPTER 43 Special Sequences and Series CHAPTER 44 Binomial Theorem CHAPTER 45 Limits, Continuity, Derivatives Index
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