Precalculus: Mathematics for Calculus, Enhanced Review Edition / Edition 5

Precalculus: Mathematics for Calculus, Enhanced Review Edition / Edition 5

by James Stewart
ISBN-10:
0495392774
ISBN-13:
2900495392773
Pub. Date:
02/05/2007
Publisher:
Cengage Learning

Hardcover

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Overview

Precalculus: Mathematics for Calculus, Enhanced Review Edition / Edition 5

In this best selling Precalculus text, the authors explain concepts simply and clearly, without glossing over difficult points. This comprehensive, evenly-paced book provides complete coverage of the function concept and integrates substantial graphing calculator materials that help students develop insight into mathematical ideas. This author team invests the same attention to detail and clarity as Jim Stewart does in his market-leading Calculus text.

Product Details

ISBN-13: 2900495392773
Publisher: Cengage Learning
Publication date: 02/05/2007
Edition description: Enhanced
Pages: 1072
Product dimensions: 6.50(w) x 1.50(h) x 9.50(d)

About the Author

The late James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.


Lothar Redlin grew up on Vancouver Island, received a Bachelor of Science degree from the University of Victoria, and a Ph.D. from McMaster University in 1978. He subsequently did research and taught at the University of Washington, the University of Waterloo, and California State University, Long Beach. He is currently Professor of Mathematics at The Pennsylvania State University, Abington Campus. His research field is topology.


Saleem Watson received his Bachelor of Science degree from Andrews University in Michigan. He did graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. in 1978. He subsequently did research at the Mathematics Institute of the University of Warsaw in Poland. He also taught at The Pennsylvania State University. He is currently Professor of Mathematics at California State University, Long Beach. His research field is functional analysis.

Table of Contents

1. FUNDAMENTALS. Real Numbers. Exponents and Radicals. Algebraic Expressions. Fractional Expressions. Equations. Modeling with Equations. Inequalities. Coordinate Geometry. Graphical Solution of Equations and Inequalities. Lines. 2. 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. Modeling with Functions. Combining Functions. One-to-One Functions and Their Inverses. 3. POLYNOMIALS AND RATIONAL FUNCTIONS. Polynomial Functions and Their Graphs. Dividing Polynomials. Real Zeros of Polynomials. Complex Numbers. The Fundamental Theorem of Algebra. Rational Functions. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions. Laws of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. 5. TRIGONOMETRIC FUNCTIONS OF REAL NUMBERS. The Unit Circle. Trigonometric Functions of Real Numbers. Trigonometric Graphs. More Trigonometric Graphs. 6. TRIGONOMETRIC FUNCTIONS OF ANGLES. Angle Measure. Trigonometry of Right Triangles. Trigonometric Functions of Angles. The Law of Sines. The Law of Cosines. 7. 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. 8. 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 andCramer's Rule. Systems of Inequalities. Partial Fractions. 9. TOPICS IN ANALYTIC GEOMETRY. Parabolas. Ellipses. Hyperbolas. Shifted Conics. Rotation of Axes. Polar Coordinates. Polar Equations of Conics. Parametric Equations. Principles. Permutations and Combinations. Probability. Expected Value. 10. Sequences and Series. Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Annuities and Installment Buying. Mathematical Induction. The Binomial Theorem. 11. Counting and Probability.Counting Principles. Permutations and Combinations. Probability. Expected Value.12. Limits: A Preview of Calculus. Finding Limits Numerically and Graphically. Finding Limits Algebraically. Tangent Lines and Derivatives. Limits at Infinity; Limits of Sequences. Areas.ANSWERS TO ODD-NUMBERED EXERCISES AND CHAPTER TESTS. INDEX.

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