College Algebra : Real Mathematics, Real People

基本信息

Format:Hardback 744 pages

Publisher:Cengage Learning, Inc

Imprint:Brooks/Cole

Edition:7 ed

ISBN:9781305071728

Published:21 Jan 2015

Classifications:Algebra

Weight:1780g

Dimensions:286 x 224 x 33 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

《大学代数 第7版》是需要使用图形计算器的课程的理想学生和教师资源。练习的质量和数量，加上有趣的应用和创新的资源，使教学更容易，帮助学生取得成功。本书保留了该系列对学生支持的强调，在整个文本中选定的例子包括引导学生到以前的章节复习概念和技能以掌握手头的材料的注释。本书还通过精心的写作和设计实现了可读性--包括在同一页上开始和结束的详细解决方案的例子，这最大限度地提高了可读性。同样，并排的解决方案显示了数学的代数、图形和数字表示，支持各种学习方式。为了反映其副标题，这次重大修订比以往任何时候都更注重向学生展示数学与他们生活和未来职业的相关性。

本版新内容

新的数据电子表格。来自LarsonPrecalculus.com的可下载、可编辑的电子表格，帮助学生使用数据来解决练习。

新的LarsonPrecalculus.com。这个免费的配套网站提供多种工具和资源来补充学生的学习。学生可以查看和听取英语或西班牙语的Checkpoint问题的解决方法，下载数据集，探索实例，观看课程视频，以及更多。

注意：这本书也可以在WebAssign中使用，它具有Corequisite支持，可以灵活地匹配任何Corequisite实施模式，使你能够以合理的价格在正确的时间为你的学生提供高质量的内容。

新的章节开场白。每一章的开场白都突出了实例和练习中的真实应用。

新的检查点。伴随着每个例子，检查点问题鼓励学生立即练习，并检查学生对例子中的概念的理解。学生可以在LarsonPrecalculus.com上查看和收听英语或西班牙语的检查点问题的解决方法。

新的 "你怎么看？每一节中的How Do You See It?功能介绍了一个现实生活中的练习，学生通过视觉检查使用本课所学的概念来解决。该练习是课堂讨论或考试准备的最佳选择。

COLLEGE ALGEBRA: REAL MATHEMATICS, REAL PEOPLE is an ideal student and instructor resource for courses that require the use of a graphing calculator. The quality and quantity of the exercises, combined with interesting applications and innovative resources, make teaching easier and help students succeed. Retaining the series' emphasis on student support, selected examples throughout the text include notations directing students to previous sections to review concepts and skills needed to master the material at hand. The book also achieves accessibility through careful writing and design—including examples with detailed solutions that begin and end on the same page, which maximizes readability. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. Reflecting its subtitle, this significant revision focuses more than ever on showing students the relevance of mathematics in their lives and future careers.

New to this edition

New Data Spreadsheets. Downloadable, editable spreadsheets from LarsonPrecalculus.com that help students use the data to solve exercises.

New LarsonPrecalculus.com. This free companion website offers multiple tools and resources to supplement your students' learning. Students can view and listen to worked-out solutions of Checkpoint problems in English or Spanish, download data sets, explore examples, watch lesson videos, and much more.

NOTE: This title is also available in WebAssign with Corequisite Support that provides the flexibility to match any corequisite implementation model and empowers you to deliver high quality content at the right time for your students at an affordable price.

New Chapter Opener. Each Chapter Opener highlights real-life applications used in the examples and exercises.

New Checkpoints. Accompanying every example, the Checkpoint problems encourage immediate practice and check students' understanding of the concepts presented in the example. Students can view and listen to worked-out solutions of the Checkpoint problems in English or Spanish at LarsonPrecalculus.com.

New How Do You See It? The How Do You See It? feature in each section presents a real-life exercise students solve by visual inspection using the concepts learned in the lesson. This exercise is excellent for classroom discussion or test preparation.

Features

Why You Should Learn It Exercise. An engaging, real-life application of the concepts in the section, this exercise is typically described in the section opener as a motivator for the section.

Side-By-Side Examples. Throughout the text, we present solutions to many examples from multiple perspectives-algebraically, graphically, and numerically. The side-by-side format of this pedagogical feature helps students to see a problem can be solved in more than one way and to see different methods yield the same result. The side-by-side format also addresses many different learning styles.

Side-By-Side Examples. Throughout the text, we present solutions to many examples from multiple perspectives-algebraically, graphically, and numerically. The side-by-side format of this pedagogical feature helps students to see a problem can be solved in more than one way and to see different methods yield the same result. The side-by-side format also addresses many different learning styles.

Library of Parent Functions. Several elementary and non-elementary functions have been compiled as a Library of Parent Functions to facilitate familiarity with the basic functions. Each function is introduced at the first point of use in the text with a definition and description of basic characteristics. The Library of Parent Functions examples are identified in the title of the example and there is a Review of Library of Parent Functions after Chapter 4. A summary of functions is presented on the inside cover of this text.

Make a Decision Exercises. The Make a Decision exercises at the end of selected sections involve in-depth applied exercises in which students work with large, real-life data sets, often creating or analyzing models. These exercises are offered online at LarsonPrecalculus.com.

Explore the Concept. Each Explore the Concept engages students in active discovery of mathematical concepts, strengthens critical thinking skills, and helps build intuition.

What's Wrong? Each What's Wrong points out common errors made using graphing utilities.

Technology Tip. Technology Tips provide graphing calculator tips or provide alternate methods of solving a problem using a graphing utility.

Algebra of Calculus. Throughout the text, special emphasis is given to the algebraic techniques used in calculus. Algebra of calculus examples and exercises are integrated throughout the text.

Algebraic-Graphical-Numerical Exercises. These exercises allow students to solve a problem using multiple approaches—algebraic, graphical, and numerical. This helps students to see that a problem can be solved in more than one way and to see that different methods yield the same result.

Modeling Data Exercises. These multi-part applications that involve real-life data offer students the opportunity to generate and analyze mathematical models.

Vocabulary and Concept Check. The Vocabulary and Concept Check appears at the beginning of the exercise set for each section. Each of these checks asks fill-in-the-blank, matching, and non-computational questions designed to help students learn mathematical terminology and to test basic understanding of that section's concepts.

Why You Should Learn It Exercise. An engaging, real-life application of the concepts in the section, this exercise is typically described in the section opener as a motivator for the section.

Make a Decision Exercises. The Make a Decision exercises at the end of selected sections involve in-depth applied exercises in which students work with large, real-life data sets, often creating or analyzing models. These exercises are offered online at LarsonPrecalculus.com.

目录

CHAPTER P PREREQUISITES.

P.1 Real Numbers. P.2 Exponents and Radicals. P.3 Polynomials and Factoring. P.4 Rational Expressions. P.5 The Cartesian Plane. P.6 Representing Data Graphically. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics.

1. FUNCTIONS AND THEIR GRAPHS.

Introduction to Library of Functions. 1.1 Graphs of Equations. 1.2 Lines in the Plane.

1.3 Functions. 1.4 Graphs of Functions. 1.5 Shifting, Reflecting, and Stretching Graphs. 1.6 Combinations of Functions. 1.7 Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics.

2. SOLVING EQUATIONS AND INEQUALITIES.

2.1 Linear Equations and Problem Solving. 2.2 Solving Equations Graphically. 2.3 Complex Numbers. 2.4 Solving Quadratic Equations Algebraically. 2.5 Solving Other Types of Equations Algebraically. 2.6 Solving Inequalities Algebraically and Graphically. 2.7 Linear Models and Scatter Plots. Chapter Summary. Review Exercises.

Chapter Test. Cumulative Test: Chapters P−2. Proofs in Mathematics.

Progressive Summary (Ch P−2).

3. POLYNOMIAL AND RATIONAL FUNCTIONS.

3.1 Quadratic Functions. 3.2 Polynomial Functions of Higher Degree. 3.3 Real Zeros of Polynomial Functions. 3.4 The Fundamental Theorem of Algebra. 3.5 Rational Functions and Asymptotes. 3.6 Graphs of Rational Functions. 3.7 Quadratic Models. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics.

4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.

4.1 Exponential Functions and Their Graphs. 4.2 Logarithmic Functions and Their Graphs. 4.3 Properties of Logarithms. 4.4 Solving Exponential and Logarithmic Equations. 4.5 Exponential and Logarithmic Models. 4.6 Nonlinear Models. Chapter Summary. Review Exercises. Chapter Test. Library of Parent Functions Review. Proofs in Mathematics. Progressive Summary (Ch P−4).

5. LINEAR SYSTEMS AND MATRICES.

5.1 Solving Systems of Equations. 5.2 Systems of Linear Equations in Two Variables.

5.3 Multivariable Linear Systems. 5.4 Matrices and Systems of Equations. 5.5 Operations with Matrices. 5.6 The Inverse of a Square Matrix. 5.7 The Determinant of a Square Matrix. 5.8 Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 3−5. Proofs in Mathematics.

6. SEQUENCES, SERIES, AND PROBABILITY.

6.1 Sequences and Series. 6.2 Arithmetic Sequences and Partial Sums. 6.3 Geometric Sequences and Series. 6.4 The Binomial Theorem. 6.5 Counting Principles. 6.6 Probability. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 7. CONICS AND PARAMETRIC EQUATIONS.

7.1 Circles and Parabolas. 7.2 Ellipses. 7.3 Hyperbolas. 7.4 Parametric Equations.

Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 6−7.

Proofs in Mathematics. Progressive Summary (Ch P−7).

Appendix A: Technology Support Guide.

Appendix B: Concepts in Statistics (WEB only).

B.1 Measures of Central Tendency and Dispersion. B.2 Least Squares Regression.

Appendix C: Variation (WEB only).

Appendix D: Solving Linear Equations and Inequalities (WEB only).

Appendix E: Systems of Inequalities (WEB only).

E.1 Solving Systems of Inequalities. E.2 Linear Programming.

Appendix F: Mathematical Induction (WEB only).

作者简介

罗恩·拉森博士是宾夕法尼亚州立大学的数学教授，他从1970年起就在那里任教。他被认为是使用多媒体来提高数学学习的先驱，自1990年以来，他撰写了30多本软件。拉森博士还撰写了许多广受好评的教科书，包括由Cengage出版的最畅销的微积分系列。他因《微积分》获得2017年威廉-霍姆斯-麦格菲长寿奖，因《微积分：早期传递函数》获得2018年文本和学术作者协会TEXTY奖，因《微积分》获得2017年威廉-霍姆斯-麦格菲长寿奖。他还因《交互式计算》（INTERACTIVE CALCULUS）获得1996年文本和学术作者协会TEXTY奖--这是一本完整的光盘文本，是第一本在互联网上提供的主流大学教科书。

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series published by Cengage. He is the recipient of the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS, the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS and the 2017 William Holmes McGuffey Longevity Award for CALCULUS. He also received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.