A Mathematical View of Our World, 1/e

MRP:
Rs 595.00
Your Price:
Rs 535.00 (You save Rs 60.00)
ISBN:
9788131520659
Author:
Imprint:
Brooks Cole
Published Date:
2013
Binding:
PB
Quantity:


Description

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.


Key Features :


  • 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.

Table of Contents :


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.


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