Introductory and Intermediate Algebra
Pearson (Verlag)
978-0-201-77341-5 (ISBN)
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Introductory and Intermediate Algebra, Second Edition continues to bring students the Bittinger hallmark five-step problem-solving process, a clear easy-to-read writing style, real-data applications, a superior supplements package, and most of all — an accurate text.
Marvin Bittinger For over thirty years Professor Marvin L. Bittinger has been teaching math at the university level. Since 1968 he has been employed as a professor of mathematics education at Indiana University - Purdue University at Indianapolis. Professor Bittinger has authored 159 publications on topics ranging from Basic Mathematics to Algebra and Trigonometry to Brief Calculus. He received his BA in Mathematics from Manchester College in 1963 and his PhD in Mathematics Education from Purdue University in 1968. Special honors include being Distinguished Visiting Professor at the United States Air Force Academy and being elected to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking, baseball, golf, and bowling and he enjoys membership in the Professional Bowler's Association and the Society for the Advancement of Baseball Research. Professor Bittinger has also had the privilege of speaking at a recent mathematics convention giving a lecture entitled, Baseball and Mathematics. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and three grandchildren. Judy Beecher has an undergraduate degree in mathematics fromIndiana University and a graduate degree in mathematics fromPurdue University. She has taught at both the high school andcollege levels with many years of developmental math and precalculusteaching experience at Indiana University Purdue University Indianapolis. Inaddition to her career in textbook publishing,she spends time reading, traveling, attending the theater, and promotingcharity projects for a children's camp.
(All chapters begin with a Pretest and end with a Summary and Review, Chapter Test, and, with the exception of Chapter 1, a Cumulative Review.)
1. Introduction to Real Numbers and Algebraic Expressions.
Introduction to Algebra.
The Real Numbers.
Addition of Real Numbers; Applications.
Subtraction of Real Numbers; Applications.
Multiplication of Real Numbers; Applications.
Division of Real Numbers; Applications.
Properties of Real Numbers.
Simplifying Expressions; Order of Operations.
2. Solving Equations and Inequalities.
Solving Equations: The Addition Principle.
Solving Equations: The Multiplication Principle.
Using the Principles Together.
Formulas.
Applications of Percent.
Applications and Problem Solving.
Solving Inequalities.
Applications and Problem Solving with Inequalities.
3. Graphs of Linear Equations.
Graphs and Applications.
Graphing Linear Equations.
More with Graphing and Intercepts.
Slope and Applications.
4. Polynomials: Operations.
Integers as Exponents.
Exponents and Scientific Notation.
Introduction to Polynomials.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Special Products.
Operations with Polynomials in Several Variables.
Division of Polynomials.
5. Polynomials: Factoring.
Introduction to Factoring.
Factoring Trinomials of the Type x2 + bx + c.
Factoring ax2 + bx + c, a Ö 1, FOIL Method.
Factoring ax2 + bx + c, a Ö 1, ac Method.
Factoring Trinomial Squares and Differences of Squares.
Factoring Sums or Differences of Cubes.
Factoring: A General Strategy.
Solving Quadratic Equations by Factoring.
Applications of Quadratic Equations.
6. Rational Expressions and Equations.
Rational Expressions: Multiplying, Dividing, and Simplifying.
Least Common Multiples and Denominators.
Adding Rational Expressions.
Subtracting Rational Expressions.
Solving Rational Equations.
Applications Using Rational Equations and Proportions.
Complex Rational Expressions.
Variation and Applications.
7. Graphs, Functions, and Applications.
Functions and Graphs.
Finding Domain and Range.
Linear Functions: Graphs and Slope.
More on Graphing Linear Equations.
Finding Equations of Lines; Applications.
8. Systems of Equations.
Systems of Equations in Two Variables.
Solving by Substitution.
Solving by Elimination.
Solving Applied Problems: Two Equations.
Systems of Equations in Three Variables.
Solving Applied Problems: Three Equations.
Business and Economics Applications.
9. More on Inequalities.
Sets, Inequalities, and Interval Notation.
Intersections, Unions, and Compound Inequalities.
Absolute-Value Equations and Inequalities.
Systems of Inequalities in Two Variables.
10. Radical Expressions, Equations, and Functions.
Radical Expressions and Functions.
Rational Numbers as Exponents.
Simplifying Radical Expressions.
Addition, Subtraction, and More Multiplication.
More on Division of Radical Expressions.
Solving Radical Equations.
Applications Involving Powers and Roots.
The Complex Numbers.
11. Quadratic Equations and Functions.
The Basics of Solving Quadratic Equations.
The Quadratic Formula.
Applications Involving Quadratic Equations.
More on Quadratic Equations.
Graphs of Quadratic Functions: f(x) = a(x - h)2 + k.
Graphs of Quadratic Functions: f(x) = ax2 + bx + c.
Modeling with Quadratic Functions.
Polynomials and Rational Inequalities.
12. Exponential and Logarithmic Functions.
Exponential Functions.
Inverse and Composite Functions.
Logarithmic Functions.
Properties of Logarithmic Functions.
Natural Logarithmic Functions.
Solving Exponential and Logarithmic Equations.
Modeling with Exponential and Logarithmic Functions.
Appendixes.
Appendix A. LCMs and Fraction Notation.
Appendix B. Handling Dimension Symbols.
Appendix C. Determinants and Cramer's Rule.
Appendix D. Elimination Using Matrices.
Appendix E. The Algebra of Functions.
Appendix F. Introductory Algebra Review.
| Erscheint lt. Verlag | 3.12.2003 |
|---|---|
| Sprache | englisch |
| Maße | 216 x 276 mm |
| Gewicht | 2141 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 0-201-77341-4 / 0201773414 |
| ISBN-13 | 978-0-201-77341-5 / 9780201773415 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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