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 are introduced early and reinforced throughout, providing with a solid foundation in the principles of mathematical thinking.

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

Table of Content

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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