Survey of Mathematics with Applications, A [Rental Edition]

by Angel, Allen R.

• ISBN13: 9780135740460
• ISBN10: 0135740460
• eBook ISBN(s): 9780135740767
• Edition: 11th
• Format: Hardcover
• Copyright: 2020-01-16
• Publisher: Pearson Rental Program
• More Book Details

About This Book

A Survey of Mathematics with Applications, 11th Edition

ISBN: 9780135740460

A Survey of Mathematics with Applications is a comprehensive textbook designed for courses in Liberal Arts Math, Contemporary Mathematics, and Survey of Mathematics. This 11th edition, released in January 2020, is a go-to resource for students and educators alike, offering a detailed exploration of mathematical concepts in everyday language.

Who Uses It?

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

History and Editions

The 11th edition of A Survey of Mathematics with Applications has been updated to address user feedback, incorporating the latest data and revised Technology Tips. This edition includes extensive corequisite course support with Integrated Review within MyLabâ„¢ Math, along with new Downloadable Data sets and more. The Pearson print rental program provides students with affordable access to learning materials, ensuring they come to class ready to succeed.

Author and Other Works

The authors of A Survey of Mathematics with Applications are Allen R. Angel, Christine D. Abbott, and Dennis Runde. Allen R. Angel is known for his clear and concise writing style, making complex mathematical concepts accessible to students. Christine D. Abbott and Dennis Runde contribute their expertise in mathematics education, ensuring that the text remains current and relevant.

Key Features

• Comprehensive Coverage: The book covers core mathematical concepts, including algebra, geometry, trigonometry, and more, in everyday language.
• Extensive Corequisite Support: Integrated Review within MyLabâ„¢ Math provides students with additional resources to reinforce their understanding.
• Updated Data: The text includes updated data throughout, ensuring that students have access to the latest information.
• Interactive Tools: MyLab Math personalizes the learning experience with digital tools, improving results for each student.

Detailed Information

ISBNs and Formats

• Hardcover/Rental Edition: ISBN-13: 9780135740460
• eBook Rental: Available through various rental programs
• Other Editions/Formats:
• Hardcover: ISBN-13: 9780135740460
• Related ISBNs:
• 9780135740330 (eBook)
• 9780135740767 (eBook)
• 9780136679141 (eBook)
• 9780136842866 (eBook)

Publication Details

• Publisher: Pearson
• Publication Date: January 16, 2020
• Number of Pages: 1040 pages
• Language: English

Other Editions and Formats

The 11th edition is part of a series that has been updated over the years to meet the evolving needs of students and educators. For those interested in earlier editions or different formats, here are some related ISBNs:

• 10th Edition: Available through Pearson and other retailers
• eBook Editions:
• ISBN-13: 9780135740330
• ISBN-13: 9780135740767

This detailed information section provides a quick reference for all the available formats and sources for A Survey of Mathematics with Applications, 11th Edition, making it easier to find and access the book in the preferred format.

Author Biography

Allen Angel received his BS and MS in mathematics from SUNY at New Paltz. He completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 - 1970. He was President of The New York State Mathematics Association of Two Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis and watching sports. He also enjoys traveling with his wife Kathy.

 

Christine Abbott received her undergraduate degree in mathematics from SUNY Brockport and her graduate degree in mathematics education from Syracuse University. Since then she has taught mathematics at Monroe Community College and has recently chaired the department. In her spare time she enjoys watching sporting events, particularly baseball, college basketball, college football, and the NFL. She also enjoys spending time with her family, traveling, and reading

 

Dennis Runde has a BS degree and an MS degree in Mathematics from the University of Wisconsin–Platteville and Milwaukee, respectively. He has a PhD in Mathematics Education from the University of South Florida. He has been teaching for more than twenty-five years at State College of Florida–Manatee-Sarasota. His interests include reading, history, fishing, canoeing, and cooking. He and his wife Kristin stay busy keeping up with their three sons—Alex, Nick, and Max.

Table of Contents

1. Critical Thinking Skills 

1.1 Inductive and Deductive Reasoning 

1.2 Estimation Techniques

1.3 Problem-Solving Procedures 

2. Sets

2.1 Set Concepts 

2.2 Subsets 

2.3 Venn Diagrams and Set Operations

2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets 

2.5 Applications of Sets

2.6 Infinite Sets 

3. Logic 

3.1 Statements and Logical Connectives

3.2 Truth Tables for Negation, Conjunction, and Disjunction 

3.3 Truth Tables for the Conditional and Biconditional 

3.4 Equivalent Statements 

3.5 Symbolic Arguments

3.6 Euler Diagrams and Syllogistic Arguments

3.7 Switching Circuits 

4. Systems of Numeration 

4.1 Additive, Multiplicative, and Ciphered Systems of Numeration 

4.2 Place-Value or Positional-Value Numeration Systems 

4.3 Other Bases 

4.4 Perform Computations in Other Bases 

4.5 Early Computational Methods 

5. Number Theory and the Real Number System

5.1 Number Theory 

5.2 The Integers 

5.3 The Rational Numbers 

5.4 The Irrational Numbers

5.5 Real Numbers and Their Properties

5.6 Rules of Exponents and Scientific Notation 

5.7 Arithmetic and Geometric Sequences 

5.8 Fibonacci Sequence 

6. Algebra, Graphs, and Functions

6.1 Order of Operations and Solving Linear Equations 

6.2 Formulas

6.3 Applications of Algebra

6.4 Variation

6.5 Solving Linear Inequalities 

6.6 Graphing Linear Equations

6.7 Solving Systems of Linear Equations 

6.8 Linear Inequalities in Two Variables and Systems of Linear Inequalities 

6.9 Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula 

6.10 Functions and Their Graphs 

7. The Metric System 

7.1 Basic Terms and Conversions Within the Metric System 

7.2 Length, Area, and Volume

7.3 Mass and Temperature

7.4 Dimensional Analysis and Conversions to and from the Metric System 

8. Geometry 

8.1 Points, Lines, Planes, and Angles

8.2 Polygons 

8.3 Perimeter and Area

8.4 Volume and Surface Area 

8.5 Transformational Geometry, Symmetry, and Tessellations

8.6 Topology 

8.7 Non-Euclidean Geometry and Fractal Geometry 

9. Mathematical Systems 

9.1 Groups 

9.2 Finite Mathematical Systems 

9.3 Modular Arithmetic 

9.4 Matrices 

10. Consumer Mathematics 

10.1 Percent 

10.2 Personal Loans and Simple Interest 

10.3 Compound Interest 

10.4 Installment Buying 

10.5 Buying a House with a Mortgage 

10.6 Ordinary Annuities, Sinking Funds, and Retirement Investments 

11. Probability 

11.1 Empirical and Theoretical Probabilities 

11.2 Odds 

11.3 Expected Value (Expectation) 

11.4 Tree Diagrams 678 

11.5 OR and AND Problems 

11.6 Conditional Probability 

11.7 The Fundamental Counting Principle and Permutations 

11.8 Combinations 

11.9 Solving Probability Problems by Using Combinations 

11.10 Binomial Probability Formula 

12. Statistics 

12.1 Sampling Techniques and Misuses of Statistics 

12.2 Frequency Distributions and Statistical Graphs 

12.3 Measures of Central Tendency and Position 

12.4 Measures of Dispersion 

12.5 The Normal Curve 

12.6 Linear Correlation and Regression 

13. Graph Theory 

13.1 Graphs, Paths, and Circuits 

13.2 Euler Paths and Euler Circuits 

13.3 Hamilton Paths and Hamilton Circuits 

13.4 Trees 864 14 Voting and Apportionment 

14. Voting and Apportionment

14.1 Voting Methods 

14.2 Flaws of the Voting Methods 

14.3 Apportionment Methods 

14.4 Flaws of the Apportionment Methods