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Addison-Wesley / Prentice Hall

Mathematics

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Graphical Approach to Algebra and Trigonometry, A, 4/E
John Hornsby, University of New Orleans
Margaret L. Lial, American River College
Gary K. Rockswold, Minnesota State University, Mankato

ISBN-10: 0321356950
ISBN-13:  9780321356956

Publisher:  Addison-Wesley
Copyright:  2007
Format:  Cloth; 1092 pp
Published:  02/03/2006
Status: Instock


Suggested retail price: $164.00
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This edition has evolved to address the needs of today's student. While maintaining its unique table of contents and functions-based approach, the text now includes additional components to build skill, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions.  It continues to incorporate an open design, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids to provide new and relevant opportunities for learning and teaching.

  • Chapter Openers    These provide a motivating application that is tied to the chapter content, plus a list of the sections in the chapter.  Most openers have been updated or are entirely new to this edition.
  • Enhanced Examples    We have added even more examples in this edition, have carefully polished all solutions, and incorporated more side comments.  Red comments with pointers, which are new to this edition, provide students with on-the-spot reminders and warnings about common pitfalls.
  • Dual Solution Format    Selected examples provide side-by-side analytic and graphing calculator solutions to connect traditional analytic methods for solving problems with graphical methods of solution or support.  Some of these examples are now marked with an icon to indicate that additional information on the graphing calculator solution is included in the Graphing Calculator Manual that accompanies the text.
  • Figures and Photos    Today’s students are more visually oriented than ever.  As a result, a concerted effort has been made to provide more figures, diagrams, tables, and graphs, including the new “hand-drawn” style of graphs, whenever possible.  The number of photos accompanying applications in examples and exercises is almost double the number in the previous edition.
  • Function Capsules    These special boxes offer a comprehensive, visual introduction to each class of function and serve as an excellent resource for reference and review.  Each capsule includes traditional and calculator graphs and a calculator table of values, as well as the domain, range, and other specific information about the function.  Abbreviated versions of all function capsules are provided on the inside back cover of the text.
  • What Went Wrong?    This popular feature anticipates typical errors that students make when using graphing technology and provides an avenue for instructors to highlight and discuss such errors.  Answers are included on the same page as the What Went Wrong? boxes 
  • Cautions and Notes    These warn students of common errors and emphasize important ideas throughout the exposition.
  • Looking Ahead to Calculus    These margin notes provide glimpses of how the algebraic topics currently being studied are used in calculus.
  • Technology Notes    Also appearing in the margin, these notes provide tips to students on how to use graphing calculators more effectively.  Some notes are now marked with an icon to indicate that additional information on graphing technology is included in the Graphing Calculator Manual that accompanies the text.
  • For Discussion    These appear within the exposition or in the margins and suggest ideas for instructors and students to investigate or discuss in class. 
  • Exercise Sets    We have taken special care to respond to the suggestions of users and reviewers and have added about 1150 new exercises to this edition based on their feedback.  As a result, the text includes more problems than ever to provide students with ample opportunities to practice, apply, connect, and extend concepts and skills.  We have included writing exercises, as well as multiple-choice, matching, true/false, and completion problems.  Concept Check problems focus on mathematical thinking and conceptual understanding.     
  • Relating Concepts    Appearing in selected exercise sets, these groups of exercises tie together topics and highlight relationships among various concepts and skills.  All answers to these problems appear in the answer section at the back of the book.
  • Reviewing Basic Concepts    These sets of exercises, in selected sections, allow students to review and check their understanding of the material in preceding sections.  All answers to these problems are included in the answer section.
  • Chapter Reviews    One of the most popular features of the text, each end-of-chapter Summary features a section-by-section list of Key Terms and Symbols in addition to Key Concepts.  A comprehensive set of Review Exercises and a Chapter Test are also included.
  • Chapter Projects    Each chapter concludes with a project that students can complete individually or collaboratively using the material from the chapter.

You will find many places in the text where the presentation has been polished and additional examples, exercises, and applications have been added based on reviewer feedback.  Some of the changes you may notice include the following:

  • There are approximately 1150 additional exercises, many devoted to skill development.
  • Graphing by hand has been expanded throughout the text.  Over 25 graphs, featuring a new “hand-drawn” style that simulates what a student might actually sketch on graph paper, have been incorporated in discussions and examples.
  • There has been an increased focus on getting students to make an estimate at the conclusion of a variety of application examples and exercises, to help show how modeling is used in the real world.
  • Real-world data in over 75 applications has been updated.
  • Section 2.3 includes a new subsection on horizontal stretching and shrinking.
  • Quadratic and rational inequalities are solved analytically using test values in Sections 3.3 and 4.3.
  • Sections 3.6 and 3.7 include new subsections on Descartes’ rule of signs and the boundedness theorem.
  • Sections 6.1 and 6.2 provide new subsections on translations of parabolas, ellipses, and hyperbolas.  New figures have been included to enhance presentations on forms of conic sections.
  • Systems of three equations in three variables in Section 7.2 are solved using traditional elimination and substitution instead of matrix row transformations.
  • Section 8.2 has a new subsection on applications of trigonometric functions.
  • Section 9.4 includes a new subsection that reviews inverse functions.
  • Appendix A now includes the geometry formulas formerly covered in Section R.6.  Appendix B Deciding which Model Best Fits a Set of Data is new.
  • Additionally, the following topics have been expanded: using slope-intercept form to write and graph equations of lines; discussion of composition of functions; graphing rational functions; reviewing rational exponents; finding inverses of functions; finding matrix inverses; graphing trigonometric functions; and graphing polar equations of lines and circles.

Chapter 1  Linear Functions, Equations, and Inequalities 

1.1  Real Numbers and the Rectangular Coordinate System

1.2  Introduction to Relations and Functions

1.3  Linear Functions

1.4  Equations of Lines and Linear Models

1.5  Linear Equations and Inequalities

1.6  Applications of Linear Functions 

 

Chapter 2  Analysis of Graphs of Functions

2.1  Graphs of Basic Functions and Relations; Symmetry

2.2  Vertical and Horizontal Shifts of Graphs          

2.3  Stretching, Shrinking, and Reflecting Graphs

2.4  Absolute Value Functions:  Graphs, Equations, Inequalities, and Applications

2.5  Piecewise-Defined Functions

2.6  Operations and Composition

  

Chapter 3  Polynomial Functions

3.1  Complex Numbers

3.2  Quadratic Functions and Graphs

3.3  Quadratic Equations and Inequalities

3.4  Further Applications of Quadratic Functions and Models

3.5  Higher-Degree Polynomial Functions and Graphs

3.6  Topics in the Theory of Polynomial Functions (I)

3.7  Topics in the Theory of Polynomial Functions (II)

3.8  Polynomial Equations and Inequalities;  Further Applications and Models

 

Chapter 4  Rational, Power, and Root Functions

4.1  Rational Functions and Graphs

4.2  More on Graphs of Rational Functions

4.3  Rational Equations, Inequalities, Applications, and Models

4.4  Functions Defined by Powers and Roots

4.5  Equations, Inequalities, and Applications Involving Root Functions

  

Chapter 5  Inverse, Exponential, and Logarithmic Functions

5.1  Inverse Functions

5.2  Exponential Functions

5.3  Logarithms and Their Properties

5.4  Logarithmic Functions

5.5  Exponential and Logarithmic Equations and Inequalities

5.6  Further Applications and Modeling with Exponential and Logarithmic Functions

  

Chapter 6  Analytic Geometry

6.1  Circles and Parabolas

6.2  Ellipses and Hyperbolas

6.3  Summary of Conic Sections

6.4  Parametric Equations 

  

Chapter 7  Systems of Equations and Inequalities; Matrices

7.1  Systems of Equations

7.2  Solution of Linear Systems in Three Variables

7.3  Solution of Linear Systems by Row Transformations

7.4  Matrix Properties and Operations

7.5  Determinants and Cramer’s Rule

7.6  Solution of Linear Systems by Matrix Inverses

7.7  Systems of Inequalities and Linear Programming

7.8  Partial Fractions

 

Chapter 8  Trigonometric Functions and Applications

8.1  Angles and Their Measures

8.2  Trigonometric Functions and Fundamental Identities

8.3  Evaluating Trigonometric Functions

8.4  Applications of Right Triangles

8.5  The Circular Functions

8.6  Graphs of the Sine and Cosine Functions

8.7  Graphs of the Other Circular Functions

8.8  Harmonic Motion

 

Chapter 9  Trigonometric Identities and Equations

9.1  Trigonometric Identities

9.2  Sum and Difference Identities

9.3  Further Identities

9.4  The Inverse Circular Functions

9.5  Trigonometric Equations and Inequalities (I)

9.6  Trigonometric Equations and Inequalities (II)

 

Chapter 10  Applications of Trigonometry; Vectors

10.1  The Law of Sines

10.2  The Law of Cosines and Area Formulas

10.3  Vectors and Their Applications

10.4  Trigonometric (Polar) Form of Complex Numbers

10.5  Powers and Roots of Complex Numbers

10.6  Polar Equations and Graphs

10.7  More Parametric Equations

 

Chapter 11  Further Topics in Algebra

11.1  Sequences and Series

11.2  Arithmetric Sequences and Series

11.3  Geometric Sequences and Series

11.4  The Binomial Theorem

11.5  Mathematical Induction

11.6  Counting Theory

11.7  Probability

 

Chapter R  Reference:  Basic Algebraic Concepts

R.1  Review of Exponents and Polynomials

R.2  Review of Factoring

R.3  Review of Rational Expressions

R.4  Review of Negative and Rational Exponents

R.5  Review of Radicals

 

Appendix A  Geometry Formulas

Appendix B  Deciding Which Model Best Fits a Set of Data

 

John Hornsby- When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics, education, or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, all three of his goals have been realized; his love for teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum.

John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

Marge Lial has always been interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College.

Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

Gary Rockswold- Dr. Gary Rockswold has been teaching mathematics for 33 years at all levels from seventh grade to graduate school, including junior high and high school students, talented youth, vocational, undergraduate, and graduate students, and adult education classes. He is currently employed at Minnesota State University, Mankato, where he is a full professor of mathematics. He graduated with majors in mathematics and physics from St. Olaf College in Northfield, Minnesota, where he was elected to Phi Beta Kappa. He received his Ph.D. in applied mathematics from Iowa State University. He has an interdisciplinary background and has also taught physical science, astronomy, and computer science. Outside of mathematics, he enjoys spending time with his lovely wife and two children.

MyMathLab Online Course for A Graphical Approach to Algebra and Trigonometry, 4/E
Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | On-line Supplement | Instock
ISBN-10: 0321357981 | ISBN-13: 9780321357984
URL:  http://www.mymathlab.com

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Annotated Instructor's Edition, 4/E
Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | Cloth | Instock
ISBN-10: 0321357701 | ISBN-13: 9780321357700


Active Learning Questions for A Graphical Approach to Algebra and Trigonometry and A Graphical Approach to Precalculus, 4/E
Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | On-line Supplement | Instock
ISBN-10: 0321435869 | ISBN-13: 9780321435866
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Insider's Guide to Teaching with Hornsby, Lial, Rockswold's A Graphical Approach to Algebra and Trigonometry and A Graphical Approach to Precalculus, 4/E
Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | Paper | Instock
ISBN-10: 0321358082 | ISBN-13: 9780321358080
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Instructor's Solutions Manual, 4/E
James, Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | Paper; 794 pp | Instock
ISBN-10: 032135799X | ISBN-13: 9780321357991
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Instructor's Testing Manual, 4/E
Lorczak & Krieger
©2007 | Addison-Wesley | Paper | Instock
ISBN-10: 0321358023 | ISBN-13: 9780321358028
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MathXL Online Course for A Graphical Approach to Algebra and Trigonometry, 4/E
Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | On-line Supplement | Instock
ISBN-10: 0321358090 | ISBN-13: 9780321358097


MyMathLab Online Course for A Graphical Approach to Algebra and Trigonometry, 4/E
Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | On-line Supplement | Instock
ISBN-10: 0321357981 | ISBN-13: 9780321357984
URL:  http://www.mymathlab.com

Availability: Now! | Student Access Type: Access Code Required
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PowerPoint, 4/E
Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | Electronic Supplement | Instock
ISBN-10: 032135804X | ISBN-13: 9780321358042
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TestGen, 4/E
Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | On-line Supplement | Instock
ISBN-10: 0321358058 | ISBN-13: 9780321358059
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Videotapes, 4/E
AW, Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | Video | Instock
ISBN-10: 0321358031 | ISBN-13: 9780321358035


Digital Video Tutor, 4/E
AW, Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | CD-ROM Only | Instock
ISBN-10: 0321358066 | ISBN-13: 9780321358066
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Graphing Calculator Manual, 4/E
Nester, Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | Paper | Instock
ISBN-10: 0321358015 | ISBN-13: 9780321358011
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MathXL Digital Student Access Code (12-month)
Addison-Wesley
©2008 | Addison-Wesley | Digital Access Code | Instock
ISBN-10: 0321488652 | ISBN-13: 9780321488657
URL:  http://www.mypearsonstore.com/title/0321488652


MathXL Tutorials on CD, 4/E
Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | CD-ROM Only | Instock
ISBN-10: 0321358074 | ISBN-13: 9780321358073
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MyMathLab Online Course for A Graphical Approach to Algebra and Trigonometry, 4/E
Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | On-line Supplement | Instock
ISBN-10: 0321357981 | ISBN-13: 9780321357984
URL:  http://www.mymathlab.com

Availability: Now! | Student Access Type: Access Code Required
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Student's Solutions Manual, 4/E
James, Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | Paper | Instock
ISBN-10: 0321358007 | ISBN-13: 9780321358004
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Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Addison-Wesley | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087


Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Addison-Wesley | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070


Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Addison-Wesley | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
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Allied Health Study Card, 2/E
Forshier
©2006 | Addison-Wesley | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
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Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Addison-Wesley | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
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Concept Videos: Algebra
Addison-Wesley
©2008 | Addison-Wesley | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197


Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Addison-Wesley | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586


Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Addison-Wesley | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
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Finite Mathematics Study Card
Addison-Wesley
©2006 | Addison-Wesley | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
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Flash Review Series: Algebra
Becker
©2004 | Addison-Wesley | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
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Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Addison-Wesley | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
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Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Addison-Wesley | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
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Interwrite Personal Response System
EduCue, Addison-Wesley & Benjamin Cummings
©2004 | Addison-Wesley | Electronic Supplement | Instock
ISBN-10: 0321267354 | ISBN-13: 9780321267351


Math for Allied Health Study/Reference Card
Forshier
©2006 | Addison-Wesley | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545


Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Addison-Wesley | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
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Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Addison-Wesley | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Pearson TI Rebate Coupon $15, 2/E
Pearson Education
©2009 | Addison-Wesley | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041


Prealgebra Review Workbook
Wheel
©2006 | Addison-Wesley | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002 | Addison-Wesley | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Saleable Technology Bundle, 2/E
Pearson Education
©2009 | Addison-Wesley | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886


Spanish Basic Math Study Card
Leonarte
©2007 | Addison-Wesley | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Addison-Wesley | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URL:  http://www.aw-bc.com/tutorcenter
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MyMathLab Online Course for A Graphical Approach to Algebra and Trigonometry, 4/E
Hornsby, Lial & Rockswold
©2007 | Addison-Wesley | On-line Supplement | Instock
ISBN-10: 0321357981 | ISBN-13: 9780321357984
URL:  http://www.mymathlab.com

Availability: Now! | Student Access Type: Access Code Required
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