Algebra and Trigonometry – James Stewart, Lothar Redlin, Saleem Watson – 3rd Edition

Description

This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking.

Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors’ attention to detail and clarity, the same as found in James Stewart’s market-leading Calculus text, is what makes this text the market leader.

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  • Chapter 0: Prerequisites
    0.1: Real Numbers and Their Properties (43)
    0.2: The Real Number Line and Order (66)
    0.3: Integer Exponents (106)
    0.4: Rational Exponents and Radicals (92)
    0.5: Algebraic Expressions (95)
    0.6: Factoring (101)
    0.7: Rational Expressions (111)

    Chapter 1: Equations and Inequalities
    1.1: Basic Equations (101)
    1.2: Modeling with Equations (66)
    1.3: Quadratic Equations (105)
    1.4: Complex Numbers (81)
    1.5: Other Types of Equations (87)
    1.6: Inequalities (95)
    1.7: Absolute Value Equations and Inequalities (58)

    Chapter 2: Coordinates and Graphs
    2.1: The Coordinate Plane (61)
    2.2: Graphs of Equations in Two Variables (94)
    2.3: Graphing Calculators: Solving Equations and Inequalities Graphically (73)
    2.4: Lines (76)
    2.5: Making Models Using Variations (48)

    Chapter 3: Functions
    3.1: What Is a Function? (83)
    3.2: Graphs of a Function (83)
    3.3: Getting Information from the Graph of a Function (55)
    3.4: Average Rate of Change of a Function (30)
    3.5: Transformations of Functions (90)
    3.6: Combining Functions (66)
    3.7: One-to-One Functions and Their Inverses (89)

    Chapter 4: Polynomial and Rational Functions
    4.1: Quadratic Functions and Models (78)
    4.2: Polynomial Functions and Their Graphs (84)
    4.3: Dividing Polynomials (68)
    4.4: Real Zeros of Polynomials (105)
    4.5: Complex Zeros and the Fundamental Theorem of Algebra (72)
    4.6: Rational Functions (88)

    Chapter 5: Exponential and Logarithmic Functions
    5.1: Exponential Functions (58)
    5.2: The Natural Exponential Function (38)
    5.3: Logarithmic Functions (91)
    5.4: Laws of Logarithms (71)
    5.5: Exponential and Logarithmic Equations (88)
    5.6: Modeling with Exponential and Logarithmic Functions (43)

    Chapter 6: Trigonometric Functions: Right Triangle Approach
    6.1: Angle Measure (88)
    6.2: Trigonometry of Right Triangles (65)
    6.3: Trigonometric Functions of Angles (71)
    6.4: Inverse Trigonometric Functions and Right Triangles (43)
    6.5: The Law of Sines (44)
    6.6: The Law of Cosines (53)

    Chapter 7: Trigonometric Functions: Unit Circle Approach
    7.1: The Unit Circle (56)
    7.2: Trigonometric Functions of Real Numbers (84)
    7.3: Trigonometric Graphs (80)
    7.4: More Trigonometric Graphs (58)
    7.5: Inverse Trigonometric Functions and Their Graphs (44)
    7.6: Modeling Harmonic Motion (48)

    Chapter 8: Analytic Trigonometry
    8.1: Trigonometric Identities (101)
    8.2: Addition and Subtraction Formulas (69)
    8.3: Double-Angle, Half-Angle, and Product-Sum Formulas (108)
    8.4: Basic Trigonometric Functions (59)
    8.5: More Trigonometric Equations (66)

    Chapter 9: Polar Coordinates and Parametric Equations
    9.1: Polar Coordinates (68)
    9.2: Graphs of Polar Equations (60)
    9.3: Polar Form of Complex Numbers; DeMoivre's Theorem (98)
    9.4: Plane Curves and Parametric Equations (67)

    Chapter 10: Vectors in Two and Three Dimensions
    10.1: Vectors in Two Dimensions (74)
    10.2: The Dot Product (52)
    10.3: Three-Dimensional Coordinate Geometry (22)
    10.4: Vectors in Three Dimensions (38)
    10.5: The Cross Product (36)
    10.6: Equations of Lines and Planes (34)

    Chapter 11: Systems of Equations and Inequalities
    11.1: Systems of Linear Equations in Two Variables (74)
    11.2: Systems of Linear Equations in Several Variables (46)
    11.3: Matrices and Systems of Linear Equations (60)
    11.4: The Algebra of Matrices (50)
    11.5: Inverses of Matrices and Matrix Equations (49)
    11.6: Determinants and Cramer's Rule (62)
    11.7: Partial Fractions (46)
    11.8: Systems of Nonlinear Equations (47)
    11.9: Systems of Inequalities (54)

    Chapter 12: Conic Sections
    12.1: Parabolas (56)
    12.2: Ellipses (55)
    12.3: Hyperbolas (50)
    12.4: Shifted Conics (43)
    12.5: Rotation of Axes (36)
    12.6: Polar Equations of Conics (45)

    Chapter 13: Sequences and Series
    13.1: Sequences and Summation Notation (80)
    13.2: Arithmetic Sequences (67)
    13.3: Geometric Sequences (85)
    13.4: Mathematics of Finance (28)
    13.5: Mathematical Induction (36)
    13.6: The Binomial Theorem (56)

    Chapter 14: Counting and Probability
    14.1: Counting Principles (43)
    14.2: Permutations and Combinations (79)
    14.3: Probability (72)
    14.4: Binomial Probability (36)
    14.5: Expected Value (22)
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