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Thinking Mathematically

ISBN: 9780131432437 | 0131432435
Edition: 3rd
Format: Hardcover
Publisher: Prentice Hall
Pub. Date: 1/1/2005

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SummaryTable of Contents
For a one- or two-term course in Liberal Arts Mathematics, Survey of Mathematics, Finite Mathematics, and Mathematics for education majors. Known for their well-conceived, relevant applications and meticulously annotated examples, Bob Blitzer's books balance the needs of appropriate coverage and student motivation while helping students develop strong critical thinking skills. This text gives students the skill-building and practice essential at this level, along with the applications and technology needed to foster an appreciation of mathemati... MORE
... MORE
Problem Solving and Critical Thinking
Inductive and Deductive Reasoning
Estimation, Graphs, and Mathematical Models
Problem Solving
Set Theory
Basic Set Concepts
Subsets
Venn Diagrams and Set Operations
Set Operations and Venn Diagrams with Three Sets
Survey Problems
Logic
Statements, Negations, and Quantified Statements
Compound Statements and Connectives
Truth Tables for Negation, Conjunction, and Disjunction
Truth Tables for the Conditional and the Biconditional
Equivalent Statements, Variations of Conditional Statements, and DeMorganrsquo;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
Linear Equations in One Variable
Applications of Linear Equations
Ratio, Proportion, and Variation
Linear Inequalities in One Variable
Quadratic Equations
Algebra: Graphs, Functions, and Linear Systems
Graphing and Functions
Linear Functions and Their Graphs
Systems of Linear Equations in Two Variables
Linear Inequalities in Two Variables
Linear Programming
Approximating Reality with Nonlinear Models
Consumer Mathematics and Financial Management
Percent, Sales Tax, and Income Tax
Simple Interest
Compound Interest
Annuities, Stocks, and Bonds
Installment Buying
Amortization and the Cost of Home Ownership
Measurement
Measuring Length; The Metric System
Measuring Area and Volume
Measuring Weight and Temperature
Geometry
Points, Lines, Planes, and Angles
Triangles
Polygons, Perimeter, and Tessellations
Area and Circumstances
Volume
Right Triangle Trigonometry
Beyond Euclidean 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 Value
Statistics
Sampling, Frequency Distributions, and Graphs
Measures of Central Tenden
Table of Contents provided by Publisher. All Rights Reserved.

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