- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
The Akst/Bragg series' success is built around clear and concise writing, a side-by-side "teach by example" approach, and integrated applications throughout that help students achieve a conceptual understanding. The user-friendly design offers a distinctive side-by-side format that pairs examples and their solutions with corresponding practice exercises. Students understand from the very beginning that doing math is an essential part of learning it. Motivational, real-world applications demonstrate how integral mathematical understanding is to a variety of disciplines, careers, and everyday situations.
Contents
Preface1. Algebra Basics1.1 Introduction to Real Numbers1.2 Operations with Real Numbers1.3 Properties of Real Numbers1.4 Laws of Exponents and Scientific Notation1.5 Algebraic Expressions: Translating, Evaluating, and Simplifying2. Linear Equations and Inequalities2.1 Solving Linear Equations2.2 Solving Literal Equations and Formulas2.3 Solving Linear Inequalities2.4 Solving Compound Inequalities2.5 Solving Absolute Value Equations and Inequalities3. Graphs, Linear Equations and Inequalities, and Functions3.1 The Rectangular Coordinate System3.2 Slope3.3 Graphing Linear Equations3.4 More on Graphing Linear Equations3.5 Graphing Linear Inequalities3.6 Introduction to Functions4. Systems of Linear Equations and Inequalities4.1 Solving Systems of Linear Equations by Graphing4.2 Solving Systems of Linear Equations Algebraically4.3 Solving Systems of Linear Equations in Three Variables4.4 Solving Systems of Linear Equations by Using Matrices4.5 Solving Systems of Linear Inequalities5. Polynomials5.1 Addition and Subtraction of Polynomials5.2 Multiplication of Polynomials5.3 Division of Polynomials5.4 The Greatest Common Factor and Factoring by Grouping5.5 Factoring Trinomials5.6 Special Factoring5.7 Solving Quadratic Equations by Factoring6. Rational Expressions and Equations6.1 Multiplication and Division of Rational Expressions6.2 Addition and Subtraction of Rational Expressions6.3 Complex Rational Expressions6.4 Solving Rational Equations6.5 Variation7. Radical Expressions and Equations7.1 Radical Expressions and Rational Exponents7.2 Simplifying Radical Expressions7.3 Addition and Subtraction of Radical Expressions7.4 Multiplication and Division of Radical Expressions7.5 Solving Radical Equations7.6 Complex Numbers8. Quadratic Equations, Functions, and Inequalities8.1 Solving Quadratic Equations: The Square Root Property of Equality; Completing the Square8.2 Solving Quadratic Equations: The Quadratic Formula8.3 More on Quadratic Equations8.4 Graphing Quadratic Functions8.5 Solving Quadratic and Rational Inequalities9. Exponential and Logarithmic Functions9.1 The Algebra of Functions and Inverse Functions9.2 Exponential Functions9.3 Logarithmic Functions9.4 Properties of Logarithms9.5 Common Logarithms, Natural Logarithms, and Change of Base9.6 Exponential and Logarithmic Equations10. Conic Sections10.1 Introduction to Conics; The Parabola10.2 The Circle10.3 The Ellipse and the Hyperbola10.4 Solving Nonlinear Systems of Equations10.5 Solving Nonlinear Inequalities and Nonlinear Systems of InequalitiesAppedixesA.1 Table of SymbolsA.2 Introduction to Graphing CalculatorsA.3 Determinants and Cramer's RuleA.4 Synthetic DivisionAnswersGlossaryIndex
