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Mathematics in Our World is designed for mathematics survey courses for non-science majors. The text covers a variety of topics designed to foster interest in and show the applicability of mathematics. The book is written by our successful statistics author, Allan Bluman. His easy-going writing style and step-by-step approach make this text very readable and accessible to lower-level students. The text contains many pedagogical features designed to both aid the student and instill a sense that mathematics is not just adding and subtracting.
Features:
One : Problem Solving
1-1 The Nature of Mathematical Reasoning
1-2 Problem Solving
1-3 Estimation
Two : Sets
2-1 The Nature of Sets
2-2 Subsets and Set Operations
2-3 Venn Diagrams
2-4 Using Sets to Solve Problems
2-5 Infinite Sets
Three : Logic
3-1 Statements
3-2 Truth Tables
3-3 Types of Statements
3-4 Arguments
3-5 Euler Circles
Four : Numeration Systems
4-1 Early and Modern Numeration Systems
4-2 Base Number Systems
4-3 Operations in Base Numbers
Five : The Real Number System
5-1 The Natural Numbers
5-2 The Integers
5-3 The Rational Numbers
5-4 The Irrational Numbers
5-5 The Real Numbers
5-6 Exponents and Scientific Notation
5-7 Arithmetic and Geometric Sequences
Six : Other Mathematical Systems
6-1 Clock Arithmetic
6-2 Modular Systems
6-3 Mathematical Systems without Numbers
Seven : Topics in Algebra
7-1 Fundamental Concepts of Algebra
7-2 Solving Linear Equations
7-3 Applications of Linear Equations
7-4 Solving Linear Inequalities
7-5 Ratio, Proportion, and Variation
7-6 Solving Quadratic Equations
Eight : Additional Topics in Algebra
8-1 The Rectangular Coordinate System and the Line
8-2 Systems of Linear Equations
8-3 Systems of Linear Inequalities
8-4 Linear Programming
8-5 Functions
Nine : Consumer Mathematics
9-1 Percent
9-2 Interest
9-3 Installment Buying
9-4 Home Ownership
9-5 Markup and Markdown
Ten : Geometry
10-1 Points, Lines, Planes, and Angles
10-2 Triangles
10-3 Polygons and Perimeter
10-4 Areas of Polygons and the Circle
10-5 Surface Area and Volume
10-6 Right Triangle Trigonometry
10-7 Networks
Eleven : Probability and Counting Techniques
11-1 Basic Concepts of Probability
11-2 Tree Diagrams, Tables, and Sample Spaces
11-3 Odds and Expectation
11-4 The Addition Rules for Probability
11-5 The Multiplication Rules and Conditional Probability
11-6 The Fundamental Counting Rule and Permutations
11-7 Combinations
11-8 Probability Using Permutations and Combinations
Twelve : Statistics
12-1 The Nature of Statistics and Organizing Data
12-2 Picturing Data
12-3 Measures of Average
12-4 Measures of Variation
12-5 Measures of Position
12-6 The Normal Distribution
12-7 Applications of the Normal Distribution
12-8 Correlation and Regression Analysis
Thirteen : Voting Methods
13-1 Preference Tables and the Plurality Method
13-2 The Borda Count Method and the Plurality-with-Elimination Method
13-3 The Pairwise Comparison Method and Approval Voting
Appendix A Measurement
Appendix B Trigonometric Ratios
Appendix C Area Under the Standard Normal Distribution
Appendix D Significan Values for the Correlation Coefficient
Appendix E Using the Ti83+ Graphing Calculator
Mathematics in Our World is designed for mathematics survey courses for non-science majors. The text covers a variety of topics designed to foster interest in and show the applicability of mathematics. The book is written by our successful statistics author, Allan Bluman. His easy-going writing style and step-by-step approach make this text very readable and accessible to lower-level students. The text contains many pedagogical features designed to both aid the student and instill a sense that mathematics is not just adding and subtracting.
Features:
Table of Contents
One : Problem Solving
1-1 The Nature of Mathematical Reasoning
1-2 Problem Solving
1-3 Estimation
Two : Sets
2-1 The Nature of Sets
2-2 Subsets and Set Operations
2-3 Venn Diagrams
2-4 Using Sets to Solve Problems
2-5 Infinite Sets
Three : Logic
3-1 Statements
3-2 Truth Tables
3-3 Types of Statements
3-4 Arguments
3-5 Euler Circles
Four : Numeration Systems
4-1 Early and Modern Numeration Systems
4-2 Base Number Systems
4-3 Operations in Base Numbers
Five : The Real Number System
5-1 The Natural Numbers
5-2 The Integers
5-3 The Rational Numbers
5-4 The Irrational Numbers
5-5 The Real Numbers
5-6 Exponents and Scientific Notation
5-7 Arithmetic and Geometric Sequences
Six : Other Mathematical Systems
6-1 Clock Arithmetic
6-2 Modular Systems
6-3 Mathematical Systems without Numbers
Seven : Topics in Algebra
7-1 Fundamental Concepts of Algebra
7-2 Solving Linear Equations
7-3 Applications of Linear Equations
7-4 Solving Linear Inequalities
7-5 Ratio, Proportion, and Variation
7-6 Solving Quadratic Equations
Eight : Additional Topics in Algebra
8-1 The Rectangular Coordinate System and the Line
8-2 Systems of Linear Equations
8-3 Systems of Linear Inequalities
8-4 Linear Programming
8-5 Functions
Nine : Consumer Mathematics
9-1 Percent
9-2 Interest
9-3 Installment Buying
9-4 Home Ownership
9-5 Markup and Markdown
Ten : Geometry
10-1 Points, Lines, Planes, and Angles
10-2 Triangles
10-3 Polygons and Perimeter
10-4 Areas of Polygons and the Circle
10-5 Surface Area and Volume
10-6 Right Triangle Trigonometry
10-7 Networks
Eleven : Probability and Counting Techniques
11-1 Basic Concepts of Probability
11-2 Tree Diagrams, Tables, and Sample Spaces
11-3 Odds and Expectation
11-4 The Addition Rules for Probability
11-5 The Multiplication Rules and Conditional Probability
11-6 The Fundamental Counting Rule and Permutations
11-7 Combinations
11-8 Probability Using Permutations and Combinations
Twelve : Statistics
12-1 The Nature of Statistics and Organizing Data
12-2 Picturing Data
12-3 Measures of Average
12-4 Measures of Variation
12-5 Measures of Position
12-6 The Normal Distribution
12-7 Applications of the Normal Distribution
12-8 Correlation and Regression Analysis
Thirteen : Voting Methods
13-1 Preference Tables and the Plurality Method
13-2 The Borda Count Method and the Plurality-with-Elimination Method
13-3 The Pairwise Comparison Method and Approval Voting
Appendix A Measurement
Appendix B Trigonometric Ratios
Appendix C Area Under the Standard Normal Distribution
Appendix D Significan Values for the Correlation Coefficient
Appendix E Using the Ti83+ Graphing Calculator