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Mathematics Its Power and Utility

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ISBN-10: 0495110523

ISBN-13: 9780495110521

Edition: 8th 2006 (Revised)

Authors: Karl J. Smith

List price: $233.95
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Description:

This text explores the power of mathematics and shows how mathematics has revolutionized the world. The main theme throughout this book is problem solving. In the first part of the book, "The Power of Mathematics," Smith begins by discussing math anxiety and how to formulate the problem. Students develop confidence and then learn problem solving techniques from arithmetic, algebra, and geometry. In the second part of the book, "The Utility of Mathematics," students apply these techniques to topics that were selected because of their usefulness to students. The topics include managing money using the ideas of interest, installment buying, credit card buying, inflation, buying a car or home, sets, probability, contests, statistics, surveys, and the influence of these topics on students' lives. While building critical-thinking and communication skills, students develop an appreciation of mathematics as they each learn something that will make life easier, less costly, or more efficient.
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Book details

List price: $233.95
Edition: 8th
Copyright year: 2006
Publisher: Brooks/Cole
Publication date: 10/14/2005
Binding: Hardcover
Pages: 672
Size: 8.00" wide x 10.00" long x 1.25" tall
Weight: 3.894
Language: English

Karl Smith is professor emeritus at Santa Rosa Junior College in Santa Rosa, California. He has written over 36 mathematics textbooks and believes that students can learn mathematics if it is presented to them through the use of concrete examples designed to develop original thinking, abstraction, and problem-solving skills. Over one million students have learned mathematics from Karl Smith's textbooks.

Foundations: The Power Of Mathematics
Arithmetic, Calculators, and Problem Solving
Math Anxiety
Formulating the Problem
Fractions and Decimals
Rounding and Estimation
Exponents and Prime Factorization
Common Fractions
Adding and Subtracting Fractions
Hindu-Arabic Numeration System
Different Numeration Systems
Summary and Review
Sets of Numbers
Symbol Shock
Addition of Integers
Subtraction of Integers
Multiplication of Integers
Division of Integers
Rational and Irrational Numbers
Summary and Review
Introduction to Algebra
Polynomials
Similar Terms
Simplification
Equations
Solving Equations
Problem Solving with Algebra
Inequalities
Summary and Review
Percents and Problem Solving
Ratio and Proportion
Problem Solving with Proportions
Percent
Problem Solving with Percents
Summary and Review
Introduction to Geometry
Euclidean Geometry
Polygons and Angles
Triangles
Similar Triangles
Summary and Review
Measurement and Problem Solving
Precision, Accuracy, and Estimation
Perimeter
Area
Volume and Capacity
Miscellaneous Measurements
Converting Units
Summary and Review
Applications : The Utility Of Mathematics
Applications of Percent
Discount, Sale Price, Sales Tax
Simple Interest
Buying On Credit
Credit Card Interest
Compound Interest
Buying a Home
Summary and Review
Sets and Logic
Introduction to Sets
Subsets
Operations with Sets
Venn Diagrams
Survey Problems Using Sets
Inductive and Deductive Reasoning
Summary and Review
Probability
Introduction to Probability
Probability Models
Odds and Conditional Probability
Mathematical Expectation
Summary and Review
Statistics
Frequency Distributions and Graphs
Measures of Central Tendency
Measures of Position
Measures of Dispersion
The Normal Curve and Sampling
Summary and Review
Graphs
Ordered Pairs and the Cartesian Coordinate System
Functions
Lines
Systems and Inequalities
Graphing Curves
Summary and Review
AppendiceS
Glossary
Tables
Answers to Selected Problems
Index