Mathematical Excursions
2nd Edition
Published on 17. January 2006
Book
Hardback
1080 pages
978-0-618-60853-9 (ISBN)
Description
By presenting problem solving in purposeful and meaningful contexts, Mathematical Excursions, 2/e, provides students in the Liberal Arts course with a glimpse into the nature of mathematics and how it is used to understand our world. Highlights of the book include the proven Aufmann Interactive Method and multi-part Excursion exercises that emphasize collaborative learning. An extensive technology program provides instructors and students with a comprehensive set of support tools.
Reviews / Votes
Each chapter concludes with a chapter summary, a chapter review, and a chapter test. 1. Problem Solving 1.1 Inductive and Deductive Reasoning 1.2 Problem Solving with Patterns 1.3 Problem-Solving Strategies 2. Sets 2.1 Basic Properties of Sets 2.2 Complements, Subsets, and Venn Diagrams 2.3 Set Operations 2.4 Applications of Sets 2.5 Infinite Sets 3. Logic 3.1 Logic Statements and Quantifiers 3.2 Truth Tables, Equivalent Statements, and Tautologies 3.3 The Conditional and the Biconditional 3.4 The Conditional and Related Statements 3.5 Arguments 3.6 Euler Diagrams 4. Numeration Systems and Number Theory 4.1 Early Numeration Systems 4.2 Place-Value Systems 4.3 Different Base Systems 4.4 Arithmetic in Different Bases 4.5 Prime Numbers 4.6 Topics from Number Theory 5. Applications of Equations 5.1 First-Degree Equations and Formulas 5.2 Rate, Ratio, and Proportion 5.3 Percent 5.4 Second-Degree Equations 6. Applications of Functions 6.1 Rectangular Coordinates and Functions 6.2 Properties of Linear Functions 6.3 Finding Linear Models 6.4 Quadratic Functions 6.5 Exponential Functions 6.6 Logarithmic Functions 7. Mathematical Systems 7.1 Modular Arithmetic 7.2 Applications of Modular Arithmetic 7.3 Introduction to Group Theory 8. Geometry 8.1 Basic Concepts of Euclidean Geometry 8.2 Perimeter and Area of Plane Figures 8.3 Properties of Triangles 8.4 Volume and Surface Area 8.5 Introduction to Trigonometry 8.6 Non-Euclidean Geometry 8.7 Fractals 9. The Mathematics of Graphs 9.1 Traveling Roads and Visiting Cities 9.2 Efficient Routes 9.3 Planarity and Euler's Formula 9.4 Map Coloring and Graphs 10. The Mathematics of Finance 10.1 Simple Interest 10.2 Compound Interest 10.3 Credit Cards and Consumer Loans 10.4 Stocks, Bonds, and Mutual Funds 10.5 Home Ownership 11. Combinatorics and Probability 11.1 The Counting Principle 11.2 Permutations and Combinations 11.3 Probability and Odds 11.4 Addition and Complement Rules 11.5 Conditional Probability 11.6 Expectation 12. Statistics 12.1 Measures of Central Tendency 12.2 Measures of Dispersion 12.3 Measures of Relative Position 12.4 Normal Distributions 12.5 Linear Regression and Correlation 13. Apportionment and Voting 13.1 Introduction to Apportionment 13.2 Introduction to Voting 13.3 Weighted Voting Systems Appendix: The Metric System of Measurement Web Appendix: Algebra ReviewMore details
Edition
2nd edition
Language
English
Place of publication
CA
United States
Publishing group
Cengage Learning, Inc
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 256 mm
Width: 218 mm
Thickness: 40 mm
Weight
2225 gr
ISBN-13
978-0-618-60853-9 (9780618608539)
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
Previous edition
Aufmann
Mathematical Excursions 1e
Book
03/2003
Houghton Mifflin (Academic)
€64.58
Article exhausted; check for reprint
Persons
Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math. Richard Nation received a B.A. in mathematics from Morningside College and a M.S. degree in mathematics from the University of South Dakota. Mr. Nation also attended a National Science Foundation academic year institute in mathematics at San Diego State University. Mr. Nation taught math at Palomar College in California, where he was on the faculty for 20 years. He has over 38 years' experience teaching mathematics at the high school and college levels. He is the co-author of several Aufmann titles. Today, Mr. Nation's professional interests include the impact of technology on curriculum development and on the teaching of mathematics at the precalculus level. Daniel Clegg received his B.A. in Mathematics from California State University, Fullerton and his M.A. in Mathematics from UCLA. He is currently a professor of mathematics at Palomar College near San Diego, California, where he has taught for more than 20 years. Clegg co-authored BRIEF APPLIED CALCULUS with James Stewart and also assisted Stewart with various aspects of his calculus texts and ancillaries for almost 20 years. Richard Aufmann is the lead author of two best-selling DEVELOPMENTAL MATH series and a best-selling COLLEGE ALGEBRA AND TRIGONOMETRY series, as well as several derivative math texts. Mr. Aufmann taught math, computer science and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum and the impact of technology on curriculum development. He holds a Bachelor of Arts in Mathematics from the University of California, Irvine and a Master of Arts degree in Mathematics from California State University, Long Beach.
Content
Each chapter concludes with a chapter summary, a chapter review, and a chapter test.
1. Problem Solving
1.1 Inductive and Deductive Reasoning
1.2 Problem Solving with Patterns
1.3 Problem-Solving Strategies
2. Sets
2.1 Basic Properties of Sets
2.2 Complements, Subsets, and Venn Diagrams
2.3 Set Operations
2.4 Applications of Sets
2.5 Infinite Sets
3. Logic
3.1 Logic Statements and Quantifiers
3.2 Truth Tables, Equivalent Statements, and Tautologies
3.3 The Conditional and the Biconditional
3.4 The Conditional and Related Statements
3.5 Arguments
3.6 Euler Diagrams
4. Numeration Systems and Number Theory
4.1 Early Numeration Systems
4.2 Place-Value Systems
4.3 Different Base Systems
4.4 Arithmetic in Different Bases
4.5 Prime Numbers
4.6 Topics from Number Theory
5. Applications of Equations
5.1 First-Degree Equations and Formulas
5.2 Rate, Ratio, and Proportion
5.3 Percent
5.4 Second-Degree Equations
6. Applications of Functions
6.1 Rectangular Coordinates and Functions
6.2 Properties of Linear Functions
6.3 Finding Linear Models
6.4 Quadratic Functions
6.5 Exponential Functions
6.6 Logarithmic Functions
7. Mathematical Systems
7.1 Modular Arithmetic
7.2 Applications of Modular Arithmetic
7.3 Introduction to Group Theory
8. Geometry
8.1 Basic Concepts of Euclidean Geometry
8.2 Perimeter and Area of Plane Figures
8.3 Properties of Triangles
8.4 Volume and Surface Area
8.5 Introduction to Trigonometry
8.6 Non-Euclidean Geometry
8.7 Fractals
9. The Mathematics of Graphs
9.1 Traveling Roads and Visiting Cities
9.2 Efficient Routes
9.3 Planarity and Euler's Formula
9.4 Map Coloring and Graphs
10. The Mathematics of Finance
10.1 Simple Interest
10.2 Compound Interest
10.3 Credit Cards and Consumer Loans
10.4 Stocks, Bonds, and Mutual Funds
10.5 Home Ownership
11. Combinatorics and Probability
11.1 The Counting Principle
11.2 Permutations and Combinations
11.3 Probability and Odds
11.4 Addition and Complement Rules
11.5 Conditional Probability
11.6 Expectation
12. Statistics
12.1 Measures of Central Tendency
12.2 Measures of Dispersion
12.3 Measures of Relative Position
12.4 Normal Distributions
12.5 Linear Regression and Correlation
13. Apportionment and Voting
13.1 Introduction to Apportionment
13.2 Introduction to Voting
13.3 Weighted Voting Systems
Appendix: The Metric System of Measurement
Web Appendix: Algebra Review
1. Problem Solving
1.1 Inductive and Deductive Reasoning
1.2 Problem Solving with Patterns
1.3 Problem-Solving Strategies
2. Sets
2.1 Basic Properties of Sets
2.2 Complements, Subsets, and Venn Diagrams
2.3 Set Operations
2.4 Applications of Sets
2.5 Infinite Sets
3. Logic
3.1 Logic Statements and Quantifiers
3.2 Truth Tables, Equivalent Statements, and Tautologies
3.3 The Conditional and the Biconditional
3.4 The Conditional and Related Statements
3.5 Arguments
3.6 Euler Diagrams
4. Numeration Systems and Number Theory
4.1 Early Numeration Systems
4.2 Place-Value Systems
4.3 Different Base Systems
4.4 Arithmetic in Different Bases
4.5 Prime Numbers
4.6 Topics from Number Theory
5. Applications of Equations
5.1 First-Degree Equations and Formulas
5.2 Rate, Ratio, and Proportion
5.3 Percent
5.4 Second-Degree Equations
6. Applications of Functions
6.1 Rectangular Coordinates and Functions
6.2 Properties of Linear Functions
6.3 Finding Linear Models
6.4 Quadratic Functions
6.5 Exponential Functions
6.6 Logarithmic Functions
7. Mathematical Systems
7.1 Modular Arithmetic
7.2 Applications of Modular Arithmetic
7.3 Introduction to Group Theory
8. Geometry
8.1 Basic Concepts of Euclidean Geometry
8.2 Perimeter and Area of Plane Figures
8.3 Properties of Triangles
8.4 Volume and Surface Area
8.5 Introduction to Trigonometry
8.6 Non-Euclidean Geometry
8.7 Fractals
9. The Mathematics of Graphs
9.1 Traveling Roads and Visiting Cities
9.2 Efficient Routes
9.3 Planarity and Euler's Formula
9.4 Map Coloring and Graphs
10. The Mathematics of Finance
10.1 Simple Interest
10.2 Compound Interest
10.3 Credit Cards and Consumer Loans
10.4 Stocks, Bonds, and Mutual Funds
10.5 Home Ownership
11. Combinatorics and Probability
11.1 The Counting Principle
11.2 Permutations and Combinations
11.3 Probability and Odds
11.4 Addition and Complement Rules
11.5 Conditional Probability
11.6 Expectation
12. Statistics
12.1 Measures of Central Tendency
12.2 Measures of Dispersion
12.3 Measures of Relative Position
12.4 Normal Distributions
12.5 Linear Regression and Correlation
13. Apportionment and Voting
13.1 Introduction to Apportionment
13.2 Introduction to Voting
13.3 Weighted Voting Systems
Appendix: The Metric System of Measurement
Web Appendix: Algebra Review