Thinking Mathematically

ISBN-10: 0130656011

ISBN-13: 9780130656018

Edition: 2nd 2003

Authors: Robert Blitzer

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Book details

List price: $101.33
Edition: 2nd
Copyright year: 2003
Publisher: Prentice Hall PTR
Publication date: 3/21/2002
Binding: Hardcover
Pages: 848
Size: 8.25" wide x 10.37" long x 1.25" tall
Weight: 3.784
Language: English

About the Author
Preface
To the Student
Acknowledgments
Resources
Applications Index
Problem Solving and Critical Thinking
Inductive and Deductive Reasoning
Estimation and Graphs
Problem Solving
Set Theory
Basic Set Concepts
Venn Diagrams and Subsets
Venn Diagrams and Set Operations
Set Operations and Venn Diagrams with Three Sets
Surveys and Cardinal Numbers
Logic
Statements, Negations, and Quantified Statements
Compound Statements and Connectives
Truth Tables for Negation, Conjunction, and Disjunction
Truth Tables for the Conditional and Biconditional
Equivalent Statements, Conditional Statements, and De Morgan's Laws
Arguments and Truth Tables
Arguments and Euler Diagrams
Number Representation and Calculation
Our Hindu-Arabic System and Early Positional Systems
Number Bases in Positional Systems
Computation in Positional Systems
Looking Back at Early Numeration Systems
Number Theory and the Real Number System
Number Theory: Prime and Composite Numbers
The Integers; Order of Operations
The Rational Numbers
The Irrational Numbers
Real Numbers and Their Properties
Exponents and Scientific Notation
Arithmetic and Geometric Sequences
Algebra: Equations and Inequalities
Algebraic Expressions and Formulas
Solving Linear Equations
Applications of Linear Equations
Ratio, Proportion, and Variation
Solving Linear Inequalities
Solving Quadratic Equations
Algebra: Graphs, Functions, and Linear Systems
Graphing and Functions
Linear Functions and Their Graphs
Quadratic Functions and Their Graphs
Exponential Functions
Systems of Linear Equations
Linear Inequalities in Two Variables
Linear Programming
Consumer Mathematics and Financial Management
Percent
Interest
Installment Buying
The Cost of Home Ownership
Investing in Stocks, Bonds, and Mutual Funds
Measurement
Measuring Length; The Metric System
Measuring Area and Volume
Measuring Weight and Temperature
Geometry
Points, Lines, Planes, and Angles
Triangles
Polygons, Quadrilaterals, and Perimeter
Area and Circumference
Volume
Right Triangle Trigonometry
Beyond Euclidian Geometry
Counting Methods and Probability Theory
The Fundamental Counting Principle
Permutations
Combinations
Fundamentals of Probability
Probability with the Fundamental Counting Principle, Permutations, and Combinations
Events Involving Not and Or; Odds
Events Involving And; Conditional Probability
Expected Values
Statistics
Sampling, Frequency Distributions, and Graphs
Measures of Central Tendency
Measures of Dispersion
The Normal Distribution
Scatter Plots, Correlation, and Regression Lines
Mathematical Systems
Mathematical Systems
Rotational Symmetry, Groups, and Clock Arithmetic
Answers to Selected Exercises
Subject Index
Photo Credits
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