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James Stewart, the author of the worldwide best-selling calculus texts, along with two of his former Ph.D. students, Lothar Redlin and Saleem Watson, collaborated in writing this book to address a problem they frequently saw in their calculus courses. Many students were not prepared to "think mathematically" but attempted to memorize facts and mimic examples. ALGEBRA AND TRIGONOMETRY was designed specifically to help readers learn to think mathematically and to develop true problem-solving skills. Patient, clear, and accurate, the text consistently illustrates how useful and applicable mathematics is to real life. The new book follows the successful approach taken in the authors' previous… More books, COLLEGE ALGEBRA, Third Edition, and PRECALCULUS, Third Edition.Less

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List price: $383.95 Copyright year: 2001 Publisher: Brooks/Cole Publication date: 12/20/2000 Binding: Hardcover Pages: 950 Size: 8.00" wide x 9.25" long x 1.50" tall Weight: 4.246 Language: English

AuthorTable of Contents

BASIC ALGEBRA What Is Algebra?

Real Numbers

Exponents and Radicals

Algebraic Expressions

Fractional Expressions

Basic Equations

Review

Test

Principles of Problem Solving

Coordinates and Graphs The Coordinate Plane

Graphs of Equations

Graphing Calculators and Computers

Lines

Review

Test

Principles of Modeling

Equations And Inequalities Algebraic and Graphical Solutions of Equations

Modeling with Equations

Quadratic Equations

Complex Numbers

Other Equations

Linear Inequalities

Nonlinear Inequalities

Absolute Value

Review

Test

Focus on Problem Solving

Functions What Is a Function?

Graphs of Functions

Applied Functions: Variation

Average Rate of Change: Increasing and Decreasing Functions

Transformations of Functions

Extreme Values of Functions

Combining Functions

One-to-One Functions and Their Inverses

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Test

Focus on Modeling

Polynomial and Rational Functions Polynomial Functions and Their Graphs

Dividing Polynomials

Real Zeros of Polynomials

The Fundamental Theorem of Algebra

Rational Functions

Review

Test

Focus on Problem Solving

Exponential and Logarithmic Functions Exponential Functions

The Natural Exponential Function

Logarithmic Functions

Laws of Logarithms

Exponential and Logarithmic Equations

Applications of Exponential and Logarithmic Functions

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Test

Focus on Modeling

Trigonometric Functions of Angles Angle Measure

Trigonometry of Right Triangles

Trigonometric Function of Angles

The Law of Sines

The Law of Cosines

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Test

Focus on Problem Solving

Trigonometric Functions of Real Numbers The Unit Circle

Trigonometric Functions of Real Numbers

Trigonometric Graphs

More Trigonometric Graphs

Review

Test

Focus on Modeling

Analytic Trigonometry Trigonometric Identities

Addition and Subtraction Formulas

Double-Angle, Half-Angle, and Product-Sum Formulas

Inverse Trigonometric Functions

Trigonometric Equations

Trigonometric Form of Complex Numbers; DeMoivre''s Theorem

Vectors

The Dot Product

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Test

Focus on Problem Solving

Systems of Equations and Inequalities Systems of Equations

Pairs of Lines

Systems of Linear Equations

The Algebra of Matrices

Inverses of Matrices and Matrix Equations

Determinants and Cramer''s Rule

Systems of Inequalities

Partial Fractions

Review

Test

Focus on Modeling

Topics in Analytic Geometry Parabolas

Ellipses

Hyperbolas

Shifted Conics

Rotation of Axes

Polar Coordinates

Polar Equations of Conics

Parametric Equations

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Test

Focus on Modeling

Sequences and Series Sequences and Summation Notation

Arithmetic Sequences

Geometric Sequences

Annuities and Installment Buying

Mathematical Induction

The Binomial Theorem

Review

Test

Focus on Problem Solving

Counting and Probability Counting Principles

Permutations and Combinations

Probability

Expected Value

Review

Test

Focus on Modeling

Answers to Odd-Numbered Exercises and Chapter Tests

Index

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