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A Mathematical View of Our World, 1/e
A Mathematical View of Our World, 1/e
Parks Harold
ISBN : 9788131520659
Pages : 982
Binding : Paperback
Trim Size : 279 x 216mm
Imprint : Brooks Cole
© Year : 2013
Price : INR 625.00
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Overview

A MATHEMATICAL VIEW OF OUR WORLD helps students understand and harness the power of mathematics in their present studies and future careers. Designed for a liberal arts mathematics course that has a strong focus on applications, this student-friendly textbook helps students see the beauty and power of mathematics as it is applied to the world around them. Recognizing that quantitative literacy is essential in an increasing number of professional fields as well as in the daily decision-making and communication of informed citizens, the book develops students' mathematical self-confidence and prepares them to use mathematics in the future. In writing the book, the authors endeavored to be faithful to the recommendations of such professional mathematics associations as the MAA, AMATYC, and NCTM. Overall, students will recognize the connections, patterns, and significance of the mathematics they study, and see that mathematics has a meaningful place in their lives.

  • Features
  • Table of contents
  • About the Author

 

  • RELEVANCE: This text is designed for an applications-focused liberal arts mathematics course. Each chapter begins with an opening vignette to help foster a student's interest in the upcoming material. Then, two biographies put faces on the men and women behind the mathematics of the chapter. Each section also contains a relevant initial problem that can be solved by the mathematics discussed in that section. Finally, "Tidbits" and "Timely Tips" appear in the margins and relate interesting facts that are relevant to topics.
  • GREAT EXERCISES: This text offers a wealth of exercises and a wide variety of applications. The exercise sets in each section range in difficulty beginning with single-concept, skill-checking exercises to ones that are more challenging and thought provoking. Whenever possible, real-world applications of the chapter material are incorporated into the exercise sets.
  • ACCESSIBILITY: This student-friendly text helps students develop a solid understanding of the central ideas while avoiding as many technicalities as possible. "Timely Tips" appear in the margins to remind students of processes or definitions they may have forgotten.
  • PROJECTS: Designed to improve students'' problem-solving skills, Extended Problems encourage individual students or groups of students to explore concepts more deeply, research new mathematical topics, and work on projects that delve into applications from numerous fields.
  • CLEAR EXAMPLES: Carefully worked-out examples guide the students throughout the text.
  • FLEXIBLE ORGANIZATION: Most chapters were written to be relatively independent to allow maximum flexibility in customizing a course and meeting the needs of particular groups of students.
  • RECOMMENDATIONS: This book is faithful to the recommendations of professional organizations such as the MAA, AMATYC, and NCTM.an MS in mathematics from Oregon State University.

1. NUMBERS IN OUR LIVES.

Identification Numbers and Check Digits. Modular Arithmetic and Check Digit Schemes. Encoding Data.

2. SHAPES IN OUR LIVES.

Tilings. Symmetry, Rigid Motions, and Escher Patters. Fibonacci Numbers and the Golden Mean - Shapes in Nature.

3. VOTING AND ELECTIONS.

Voting Systems. Flaws of the Voting Systems. Weighted Voting Systems.

4. FAIR DIVISION.

Divide and Choose Methods. Discrete and Mixed Division Problems. Envy-Free Division.

5. APPORTIONMENT. 

The Apportionment Problem - Quota Methods. The Apportionment Problem - Divisor Methods. Flaws of the Apportionment Methods.

6. ROUTES AND NETWORKS.

Routing Problems. Network Problems. The Traveling Salesperson Problem.

7. SCHEDULING.

Basic Concepts of Scheduling. The List-Processing Algorithm and the Decreasing-Time Algorithm. The Critical-Path Algorithm.

8. DESCRIPTIVE STATISTICS - DATA AND PATTERNS.

Organizing and Picturing Data. Comparisons. Enhancement, Distraction, and Distortion.

9. COLLECTING AND INTERPRETING DATA.

Populations, Samples, and Data. Survey Sampling Methods. Measures of Central Tendency and Variability.

10. PROBABILITY.

Computing Probabilities in Simple Experiments. Computing Probabilities in Multistage Experiments. Conditional Probability, Expected Value, and Odds.

11. INFERENTIAL STATISTICS.

Normal Distributions. Applications of Normal Distributions. Confidence Intervals and Reliable Estimation.

12. GROWTH AND DECAY.

Malthusian Population Growth. Population Decrease, Radioactive Decay. Logistic Population Models.

13. CONSUMER MATHEMATICS—BUYING AND SAVING.

Simple and Compound Interest. Loans. Buying a House.

 

 


Harold Parks

Harold Parks is Professor of Mathematics at Oregon State University. Dr. Parks won the 2003-2004 University Honors College Outstanding Professor award from the Honors College at Oregon State University. He is the coauthor of four books: "A Primer of Real Analytic Functions" (Birkhauser first edition, 1992 second edition, 2002), "The Implicit Function Theorem: History, Theory, and Applications" (Birkhauser, 2002), "Mathematics in Life, Society, and the World" (Prentice Hall first edition, 1997 second edition, 2000), and "The Geometry of Domains in Space" (Birkhauser, 1999). Harold has published over 25 papers in many journals, including AMERICAN MATHEMATICAL MONTHLY, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS JOURNAL ON SCIENTIFIC COMPUTING, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, WORLD SCIENTIFIC PUBLISHING, CANADIAN JOURNAL OF MATHEMATICS, and AMERICAN MATHEMATICAL SOCIETY.

 

Gary Musser

Gary Musser is Professor Emeritus of Mathematics at Oregon State University. Professor Musser has published 40 papers in many journals, including the PACIFIC JOURNAL OF MATHEMATICS, CANADIAN JOURNAL OF MATHEMATICS, THE MATHEMATICS ASSOCIATION OF AMERICA MONTHLY, the NCTM's THE MATEMATICAL TEACHER, the NCTM's THE ARITHMETIC TEACHER, SCHOOL SCIENCE AND MATHEMATICS, THE OREGON MATHEMATICS TEACHER, and THE COMPUTING TEACHER. In addition, he is a coauthor of two other college mathematics books: COLLEGE GEOMETRY: A PROBLEM-SOLVING APPROACH WITH APPLICATIONS and MATHEMATICS FOR ELEMENTARY TEACHERS. He also coauthored the K-8 series MATHEMATICS IN ACTION. He has given more than 65 invited lectures/workshops at a variety of conferences, including NCTM and MAA conferences, and was awarded 15 federal, state, and local grants to improve the teaching of mathematics. While Professor Musser was at OSU, he was awarded the university's prestigious College of Science Carter Award for Teaching.

 

Lynn Trimpe

Lynn Trimpe is Mathematics Faculty at Linn-Benton Community College. Lynn has taught developmental mathematics through calculus at Linn-Benton Community College for 25 years. In 1999, she received the Teaching Excellence Award for the Northwest Region, presented by the American Mathematical Association of Two-Year Colleges (AMATYC). Together with Gary Musser, Lynn co-authored the textbook COLLEGE GEOMETRY: A PROBLEM-SOLVING APPROACH WITH APPLICATIONS, published in 1994. Together with Vikki and Roger Maurer, she wrote several editions of the Student Hints and Solutions Manual to accompany the Musser/Burger/Peterson text, MATHEMATICS FOR ELEMENTARY TEACHERS: A CONTEMPORARY APPROACH, most recently for the 7th edition. Lynn has a BS in Education and an MST in Mathematics from the University of Missouri, Columbia, and has done further graduate work at Oregon State University.

 

Vikki Maurer

Vikki Maurer is Mathematics Faculty at Linn-Benton Community College. Together with Roger Maurer and Lynn Trimpe, Vikki wrote several editions of the Student Hints and Solutions Manual to accompany the Musser/Burger/Peterson text, MATHEMATICS FOR ELEMENTARY TEACHERS: A CONTEMPORARY APPROACH, most recently for the 7th edition. Vikki has taught developmental mathematics through calculus at Linn-Benton Community College for 11 years and has been teaching for 15 years. In 2001, she received a Teaching Excellence award from Linn-Benton Community College. She cocreated and presented math workshops for talented and gifted elementary school students. Vikki has a BS in applied mathematics from Southern Oregon State College and an MS in Statistics from Oregon State University.

 

Roger Maurer

Roger Maurer is Mathematics Faculty at Linn-Benton Community College. Together with Vikki Maurer and Lynn Trimpe, Roger wrote several editions of the Student Hints and Solutions Manual to accompany the Musser/Burger/Peterson text, MATHEMATICS FOR ELEMENTARY TEACHERS: A CONTEMPORARY APPROACH, most recently for the 7th edition. Roger has taught developmental mathematics through calculus-based statistics for engineers at Linn-Benton Community College for 15 years. Roger served as mathematics department chair for three years at Linn-Benton Community College. Roger has a BS in mathematics, a BS in mathematical sciences, and an MS in mathematics from Oregon State University.

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