Algebra and Trigonometry

by Beecher, Judith A.; Penna, Judith A.; Bittinger, Marvin L.

• ISBN13: 9780321969569
• ISBN10: 0321969561
• eBook ISBN(s): 9780134173689
• Additional ISBN(s): 9780134179049, 9780321466204
• Edition: 5th
• Format: Hardcover
• Copyright: 2015-01-06
• Publisher: Pearson
• More Book Details

About This Book

Algebra and Trigonometry, 5th Edition

Algebra and Trigonometry, 5th Edition, is a comprehensive textbook designed for courses in algebra and trigonometry. This book is a go-to resource for students and educators alike, offering a detailed exploration of algebraic and trigonometric principles. It's particularly useful for students in high school and college who are taking introductory algebra and trigonometry courses.

Who Uses It?

Primarily, this book is used by students and instructors in introductory algebra and trigonometry courses at the high school and college levels. It's also a valuable resource for anyone interested in understanding the basics of algebra and trigonometry, including professionals looking to refresh their knowledge or expand their understanding of mathematical principles.

History and Editions

The 5th edition of Algebra and Trigonometry has been updated to address user feedback, incorporating the latest teaching methods and technologies. This edition includes detailed updates on problem-solving strategies, visual aids, and interactive tools to help students better understand complex concepts. The authors have also added 25 Just-In-Time review topics throughout the text to provide students with immediate review resources when they need them most.

Author and Other Works

The authors of Algebra and Trigonometry, 5th Edition, are Judith A. Beecher, Judith A. Penna, and Marvin L. Bittinger. Judith Beecher is known for her clear and concise writing style, which makes complex mathematical concepts accessible to students. Judith Penna brings her expertise in mathematics education to the text, ensuring that it remains current and relevant. Marvin Bittinger is a renowned author in the field of mathematics, having written numerous textbooks that focus on problem-solving strategies and visual aids.

Key Features

• Comprehensive Coverage: The book covers core concepts in algebra and trigonometry, including detailed explanations and examples.
• Visual Aids: The text includes numerous illustrations and graphs to help students visualize mathematical concepts.
• Interactive Tools: The book is complemented by MyMathLab, which includes interactive features such as homework assignments, quizzes, and personalized study plans.
• Review Resources: The inclusion of 25 Just-In-Time review topics and Mid-chapter Mixed Review exercises provides students with ample opportunities for review and practice.

Detailed Information

ISBNs and Formats

• Hardcover: ISBN-13: 9780321969569
• eTextbook: Available through VitalSource (ISBN: 9780134173689)
• Rental Options: Various rental durations available from different retailers

Publication Details

• Publisher: Pearson
• Publication Date: 2015
• Number of Pages: 1008
• Language: English
• Item Weight: 4.6 pounds
• Dimensions: 10.9 x 8.7 x 1.5 inches

Other Editions and Formats

• eBook: Available through VitalSource (ISBN: 9780134173689)
• Used Copies: Available through various retailers like AbeBooks and Biblio

Related ISBNs:

• 9780134173689 (eTextbook)
• 0321969561 (Hardcover)
• 0321969561 (Used Hardcover)

This detailed information section provides a quick reference for all the available formats and sources for Algebra and Trigonometry, 5th Edition, making it easier to find and access the book in the preferred format.

Author Biography

Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University—Purdue University Indianapolis (IUPUI). In addition to her career in textbook publishing, she enjoys traveling, spending time with her grandchildren, and promoting charity projects for a children's camp.

 

Judy Penna received her undergraduate degree in mathematics from Kansas State University and her graduate degree in mathematics from the University of Illinois. Since then, she has taught at Indiana University—Purdue University Indianapolis (IUPUI) and at Butler University, and continues to focus on writing quality textbooks for undergraduate mathematics students. In her free time she likes to travel, read, knit and spend time with her children.

 

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University—Purdue University Indianapolis (IUPUI), and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently 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 four granddaughters.

 

Table of Contents

1. Graphs, Functions, and Models
1.1 Introduction to Graphing
1.2 Functions and Graphs
1.3 Linear Functions, Slope, and Applications
1.4 Equations of Lines and Modeling
1.5 Linear Equations, Functions, Zeros, and Applications
1.6 Solving Linear Inequalities

2. More on Functions
2.1 Increasing, Decreasing, and Piecewise Functions; Applications
2.2 The Algebra of Functions
2.3 The Composition of Functions
2.4 Symmetry
2.5 Transformations
2.6 Variation and Applications

3. Quadratic Functions and Equations; Inequalities
3.1 The Complex Numbers
3.2 Quadratic Equations, Functions, Zeros, and Models
3.3 Analyzing Graphs of Quadratic Functions
3.4 Solving Rational Equations and Radical Equations
3.5 Solving Equations and Inequalities with Absolute Value

4. Polynomial Functions and Rational Functions
4.1 Polynomial Functions and Models
4.2 Graphing Polynomial Functions
4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
4.4 Theorems about Zeros of Polynomial Functions
4.5 Rational Functions
4.6 Polynomial Inequalities and Rational Inequalities

5. Exponential Functions and Logarithmic Functions
5.1 Inverse Functions
5.2 Exponential Functions and Graphs
5.3 Logarithmic Functions and Graphs
5.4 Properties of Logarithmic Functions
5.5 Solving Exponential Equations and Logarithmic Equations
5.6 Applications and Models: Growth and Decay; Compound Interest

6. The Trigonometric Functions
6.1 Trigonometric Functions of Acute Angles
6.2 Applications of Right Triangles
6.3 Trigonometric Functions of Any Angle
6.4 Radians, Arc Length, and Angular Speed
6.5 Circular Functions: Graphs and Properties
6.6 Graphs of Transformed Sine and Cosine Functions

7. Trigonometric Identities, Inverse Functions, and Equations
7.1 Identities: Pythagorean and Sum and Difference
7.2 Identities: Cofunction, Double-Angle, and Half-Angle
7.3 Proving Trigonometric Identities
7.4 Inverses of the Trigonometric Functions
7.5 Solving Trigonometric Equations

8. Applications of Trigonometry
8.1 The Law of Sines
8.2 The Law of Cosines
8.3 Complex Numbers: Trigonometric Notation
8.4 Polar Coordinates and Graphs
8.5 Vectors and Applications
8.6 Vector Operations

9. Systems of Equations and Matrices
9.1 Systems of Equations in Two Variables
9.2 Systems of Equations in Three Variables
9.3 Matrices and Systems of Equations
9.4 Matrix Operations
9.5 Inverses of Matrices
9.6 Determinants and Cramer’s Rule
9.7 Systems of Inequalities and Linear Programming
9.8 Partial Fractions

10. Conic Sections
10.1 The Parabola
10.2 The Circle and the Ellipse
10.3 The Hyperbola
10.4 Nonlinear Systems of Equations and Inequalities
10.5 Rotation of Axes
10.6 Polar Equations of Conics
10.7 Parametric Equations

11. Sequences, Series, and Combinatorics
11.1 Sequences and Series
11.2 Arithmetic Sequences and Series
11.3 Geometric Sequences and Series
11.4 Mathematical Induction
11.5 Combinatorics: Permutations
11.6 Combinatorics: Combinations
11.7 The Binomial Theorem
11.8 Probability