Mathematical Ideas
Pearson New International Edition
12th Edition
Published on 3. October 2013
922 pages
978-1-292-05447-6 (ISBN)
Description
Mathematical Ideas captures the interest of non-majors who take the Liberal Arts Math course by showing how mathematics plays an important role in scenes from popular movies and television. By incorporating John Hornsbys Math Goes to Hollywood approach into chapter openers, margin notes, examples, exercises, and resources, this text makes it easy to weave this engaging theme into your course. The Twelfth Edition continues to deliver the superlative writing style, carefully developed examples, and extensive exercise sets that instructors have come to expect. MyMathLab continues to evolve with each new edition, offering expanded online exercise sets, improved instructor resources, and new section-level videos.
More details
Edition
12th edition
Language
English
Place of publication
Harlow
United Kingdom
Target group
College/higher education
ISBN-13
978-1-292-05447-6 (9781292054476)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Vern Heeren | Charles Miller | John Hornsby
Mathematical Ideas: Pearson New International Edition
Book
11/2013
12th Edition
Pearson Education Limited
€101.70
Article exhausted; check different version
Content
1. The Art of Problem Solving
1.1 Solving Problems by Inductive Reasoning
1.2 An Application of Inductive Reasoning: Number Patterns
1.3 Strategies for Problem Solving
1.4 Calculating, Estimating, and Reading Graphs
Extension: Using Writing to Learn about Mathematics
Collaborative Investigation: Discovering Patterns in Pascal's Triangle
Chapter 1 Test
2. The Basic Concepts of Set Theory
2.1 Symbols and Terminology
2.2 Venn Diagrams and Subsets
2.3 Set Operations and Cartesian Products
2.4 Surveys and Cardinal Numbers
Extension: Infinite Sets and Their Cardinalities
Collaborative Investigation: Surveying the Members of Your Class
Chapter 2 Test
3. Introduction to Logic
3.1 Statements and Quantifiers
3.2 Truth Tables and Equivalent Statements
3.3 The Conditional and Circuits
3.4 The Conditional and Related Statements
3.5 Analyzing Arguments with Euler Diagrams
Extension: Logic Problems and Sudoku
3.6 Analyzing Arguments with Truth Tables
Collaborative Investigation: Logic Problems and Sudoku Revisited
Chapter 3 Test
4. Numeration Systems
4.1 Historical Numeration Systems
4.2 More Historical Numeration Systems
4.3 Arithmetic in the Hindu-Arabic System
4.4 Conversion between Number Bases
Extension: Modular Systems
Collaborative Investigation: A Perpetual Calendar Algorithm
Chapter 4 Test
5. Number Theory
5.1 Prime and Composite Numbers
5.2 Large Prime Numbers
5.3 Selected Topics from Number Theory
5.4 Greatest Common Factor and Least Common Multiple
Extension: Modern Cryptography
5.5 The Fibonacci Sequence and the Golden Ratio
Collaborative Investigation: Investigating an Interesting Property of Number Squares
Chapter 5 Test
6. The Real Numbers and Their Representations
6.1 Real Numbers, Order, and Absolute Value
6.2 Operations, Properties, and Applications of Real Numbers
6.3 Rational Numbers and Decimal Representation
6.4 Irrational Numbers and Decimal Representation
6.5 Applications of Decimals and Percents
Extension: Complex Numbers
Collaborative Investigation: Budgeting to Buy a Car
Chapter 6 Test
7. The Basic Concepts of Algebra
7.1 Linear Equations
7.2 Applications of Linear Equations
7.3 Ratio, Proportion, and Variation
7.4 Linear Inequalities
7.5 Properties of Exponents and Scientific Notation
7.6 Polynomials and Factoring
7.7 Quadratic Equations and Applications
Extension: Complex Solutions of Quadratic Equations
Collaborative Investigation: How Does Your Walking Rate Compare to That of Olympic Race-walkers?
Chapter 7 Test
8. Graphs, Functions, and Systems of Equations and Inequalities
8.1 The Rectangular Coordinate System and Circles
8.2 Lines, Slope, and Average Rate of Change
8.3 Equations of Lines and Linear Models
8.4 An Introduction to Functions: Linear Functions, Applications, and Models
8.5 Quadratic Functions, Graphs, and Models
8.6 Exponential and Logarithmic Functions, Applications, and Models
8.7 Systems of Equations
8.8 Applications of Systems
Extension: Using Matrix Row Operations to Solve Systems
8.9 Linear Inequalities, Systems, and Linear Programming
Collaborative Investigation: Tracking an Epidemic
Chapter 8 Test
9. Geometry
9.1 Points, Lines, Planes, and Angles
9.2 Curves, Polygons, and Circles
Extension: Geometric Constructions
9.3 The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem
9.4 Perimeter, Area, and Circumference
9.5
1.1 Solving Problems by Inductive Reasoning
1.2 An Application of Inductive Reasoning: Number Patterns
1.3 Strategies for Problem Solving
1.4 Calculating, Estimating, and Reading Graphs
Extension: Using Writing to Learn about Mathematics
Collaborative Investigation: Discovering Patterns in Pascal's Triangle
Chapter 1 Test
2. The Basic Concepts of Set Theory
2.1 Symbols and Terminology
2.2 Venn Diagrams and Subsets
2.3 Set Operations and Cartesian Products
2.4 Surveys and Cardinal Numbers
Extension: Infinite Sets and Their Cardinalities
Collaborative Investigation: Surveying the Members of Your Class
Chapter 2 Test
3. Introduction to Logic
3.1 Statements and Quantifiers
3.2 Truth Tables and Equivalent Statements
3.3 The Conditional and Circuits
3.4 The Conditional and Related Statements
3.5 Analyzing Arguments with Euler Diagrams
Extension: Logic Problems and Sudoku
3.6 Analyzing Arguments with Truth Tables
Collaborative Investigation: Logic Problems and Sudoku Revisited
Chapter 3 Test
4. Numeration Systems
4.1 Historical Numeration Systems
4.2 More Historical Numeration Systems
4.3 Arithmetic in the Hindu-Arabic System
4.4 Conversion between Number Bases
Extension: Modular Systems
Collaborative Investigation: A Perpetual Calendar Algorithm
Chapter 4 Test
5. Number Theory
5.1 Prime and Composite Numbers
5.2 Large Prime Numbers
5.3 Selected Topics from Number Theory
5.4 Greatest Common Factor and Least Common Multiple
Extension: Modern Cryptography
5.5 The Fibonacci Sequence and the Golden Ratio
Collaborative Investigation: Investigating an Interesting Property of Number Squares
Chapter 5 Test
6. The Real Numbers and Their Representations
6.1 Real Numbers, Order, and Absolute Value
6.2 Operations, Properties, and Applications of Real Numbers
6.3 Rational Numbers and Decimal Representation
6.4 Irrational Numbers and Decimal Representation
6.5 Applications of Decimals and Percents
Extension: Complex Numbers
Collaborative Investigation: Budgeting to Buy a Car
Chapter 6 Test
7. The Basic Concepts of Algebra
7.1 Linear Equations
7.2 Applications of Linear Equations
7.3 Ratio, Proportion, and Variation
7.4 Linear Inequalities
7.5 Properties of Exponents and Scientific Notation
7.6 Polynomials and Factoring
7.7 Quadratic Equations and Applications
Extension: Complex Solutions of Quadratic Equations
Collaborative Investigation: How Does Your Walking Rate Compare to That of Olympic Race-walkers?
Chapter 7 Test
8. Graphs, Functions, and Systems of Equations and Inequalities
8.1 The Rectangular Coordinate System and Circles
8.2 Lines, Slope, and Average Rate of Change
8.3 Equations of Lines and Linear Models
8.4 An Introduction to Functions: Linear Functions, Applications, and Models
8.5 Quadratic Functions, Graphs, and Models
8.6 Exponential and Logarithmic Functions, Applications, and Models
8.7 Systems of Equations
8.8 Applications of Systems
Extension: Using Matrix Row Operations to Solve Systems
8.9 Linear Inequalities, Systems, and Linear Programming
Collaborative Investigation: Tracking an Epidemic
Chapter 8 Test
9. Geometry
9.1 Points, Lines, Planes, and Angles
9.2 Curves, Polygons, and Circles
Extension: Geometric Constructions
9.3 The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem
9.4 Perimeter, Area, and Circumference
9.5
