The Nature of Mathematics 13th edition

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• Chapter 1: The Nature of Problem Solving
  • 1.1: Problem Solving
  • 1.2: Inductive and Deductive Reasoning
  • 1.3: Scientific Notation and Estimation
  • 1: Review Questions
  
  
• Chapter 2: The Nature of Sets
  • 2.1: Sets, Subsets, and Venn Diagrams
  • 2.2: Operations with Sets
  • 2.3: Applications of Sets
  • 2.4: Finite and Infinite Sets
  • 2: Review Questions
  • 2: Responsive Lab: Venn Diagrams
  
  
• Chapter 3: The Nature of Logic
  • 3.1: Deductive Reasoning
  • 3.2: Truth Tables and the Conditional
  • 3.3: Operators and Laws of Logic
  • 3.4: The Nature of Proof
  • 3.5: Problem Solving Using Logic
  • 3.6: Logic Circuits
  • 3: Review Questions
  
  
• Chapter 4: The Nature of Numeration Systems
  • 4.1: Early Numeration Systems
  • 4.2: Hindu-Arabic Numeration System
  • 4.3: Different Numeration Systems
  • 4.4: Binary Numeration System
  • 4.5: History of Calculating Devices
  • 4: Review Questions
  
  
• Chapter 5: The Nature of Numbers
  • 5.1: Natural Numbers
  • 5.2: Prime Numbers
  • 5.3: Integers
  • 5.4: Rational Numbers
  • 5.5: Irrational Numbers
  • 5.6: Groups, Fields, and Real Numbers
  • 5.7: Discrete Mathematics
  • 5.8: Cryptography
  • 5: Review Questions
  
  
• Chapter 6: The Nature of Algebra
  • 6.1: Polynomials
  • 6.2: Factoring
  • 6.3: Evaluation, Applications, and Spreadsheets
  • 6.4: Equations
  • 6.5: Inequalities
  • 6.6: Algebra in Problem Solving
  • 6.7: Ratios, Proportions, and Problem Solving
  • 6.8: Percents
  • 6.9: Modeling Uncategorized Problems
  • 6: Review Questions
  • 6: Responsive Lab: Scaling a Recipe
  
  
• Chapter 7: The Nature of Geometry
  • 7.1: Geometry
  • 7.2: Polygons and Angles
  • 7.3: Triangles
  • 7.4: Similar Triangles
  • 7.5: Right-Triangle Trigonometry
  • 7.6: Mathematics, Art, and Non-Euclidean Geometries
  • 7: Review Questions
  
  
• Chapter 8: The Nature of Measurement
  • 8.1: Perimeter
  • 8.2: Area
  • 8.3: Surface Area, Volume, and Capacity
  • 8.4: Miscellaneous Measurements
  • 8.5: U.S.–Metric Conversions
  • 8: Review Questions
  • 8: Responsive Lab: Regular Polygons
  
  
• Chapter 9: The Nature of Networks and Graph Theory
  • 9.1: Euler Circuits and Hamiltonian Cycles
  • 9.2: Trees and Minimum Spanning Trees
  • 9.3: Topology and Fractals
  • 9: Review Questions
  • 9: Responsive Lab: Complete Graph Algorithms
  
  
• Chapter 10: The Nature of Growth
  • 10.1: Exponential Equations
  • 10.2: Logarithmic Equations
  • 10.3: Applications of Growth and Decay
  • 10: Review Questions
  • 10: Responsive Lab: Population Growth
  
  
• Chapter 11: The Nature of Financial Management
  • 11.1: Interest
  • 11.2: Installment Buying
  • 11.3: Sequences
  • 11.4: Series
  • 11.5: Annuities
  • 11.6: Amortization
  • 11.7: Summary of Financial Formulas
  • 11: Review Questions
  • 11: Responsive Lab: Credit Cards
  
  
• Chapter 12: The Nature of Counting
  • 12.1: Permutations
  • 12.2: Combinations
  • 12.3: Counting without Counting
  • 12.4: Rubik's Cube and Instant Insanity
  • 12: Review Questions
  • 12: Responsive Lab: License Plates
  
  
• Chapter 13: The Nature of Probability
  • 13.1: Introduction to Probability
  • 13.2: Mathematical Expectation
  • 13.3: Probability Models
  • 13.4: Calculated Probabilities
  • 13.5: Bayes' Theorem
  • 13.6: The Binomial Distribution
  • 13: Review Questions
  
  
• Chapter 14: The Nature of Statistics
  • 14.1: Frequency Distributions and Graphs
  • 14.2: Descriptive Statistics
  • 14.3: The Normal Curve
  • 14.4: Correlation and Regression
  • 14.5: Sampling
  • 14: Review Questions
  • 14: Responsive Lab: Approximately Normal Distributions
  
  
• Chapter 15: The Nature of Graphs and Functions
  • 15.1: Cartesian Coordinates and Graphing Lines
  • 15.2: Graphing Half-Planes
  • 15.3: Graphing Curves
  • 15.4: Conic Sections
  • 15.5: Functions
  • 15: Review Questions
  
  
• Chapter 16: The Nature of Mathematical Systems
  • 16.1: Systems of Linear Equations
  • 16.2: Problem Solving with Systems
  • 16.3: Matrix Solution of a System of Equations
  • 16.4: Inverse Matrices
  • 16.5: Modeling with Linear Programming
  • 16: Review Questions
  
  
• Chapter 17: The Nature of Voting and Apportionment
  • 17.1: Voting
  • 17.2: Voting Dilemmas
  • 17.3: Apportionment
  • 17.4: Apportionment Paradoxes
  • 17: Review Questions
  • 17: Responsive Lab: Arrow's Impossibility Theorem
  
  
• Chapter 18: The Nature of Calculus
  • 18.1: What Is Calculus?
  • 18.2: Limits
  • 18.3: Derivatives
  • 18.4: Integrals
  • 18: Review Questions
  
  
• Chapter P: Prologue: Why Math? A Historical Overview
  • P: Prologue: Why Math? A Historical Overview
  
  
• Chapter E: Epilogue: Why Not Math? Mathematics in the Natural Sciences, Social Sciences, and Humanities
  • E: Epilogue: Why Not Math? Mathematics in the Natural Sciences, Social Sciences, and Humanities