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Chapter P - Prologue: Why Math? A Historical OverviewChapter 1.1 - Problem SolvingChapter 1.2 - Inductive And Deductive ReasoningChapter 1.3 - Scientific Notation And EstimationChapter 1.CR - Chapter SummaryChapter 2.1 - Sets, Subsets, And Venn DiagramsChapter 2.2 - Operations With SetsChapter 2.3 - Applications Of SetsChapter 2.4 - Finite And Infinite SetsChapter 2.CR - Chapter Summary

Chapter 3.1 - Deductive ReasoningChapter 3.2 - Truth Tables And The ConditionalChapter 3.3 - Operators And Laws Of LogicChapter 3.4 - The Nature Of ProofChapter 3.5 - Problem Solving Using LogicChapter 3.6 - Logic CircuitsChapter 3.CR - Chapter SummaryChapter 4.1 - Early Numeration SystemsChapter 4.2 - Hindu-arabic Numeration SystemChapter 4.3 - Different Numeration SystemChapter 4.4 - Binary Numeration SystemChapter 4.5 - History Of Calculating DevicesChapter 4.CR - Chapter SummaryChapter 5.1 - Natural NumbersChapter 5.2 - Prime NumbersChapter 5.3 - IntegersChapter 5.4 - Rational NumbersChapter 5.5 - Irrational NumbersChapter 5.6 - Groups, Fields, And Real NumbersChapter 5.7 - Discrete MathematicsChapter 5.8 - CryptographyChapter 5.CR - Chapter SummaryChapter 6.1 - PolynomialsChapter 6.2 - FactoringChapter 6.3 - Evaluation, Applications, And SpreadsheetsChapter 6.4 - EquationsChapter 6.5 - InequalitiesChapter 6.6 - Algebra In Problem SolvingChapter 6.7 - Ratios, Proportions, And Problem SolvingChapter 6.8 - PercentsChapter 6.9 - Modeling Uncategorized ProblemsChapter 6.CR - Chapter SummaryChapter 7.1 - GeometryChapter 7.2 - Polygons And AnglesChapter 7.3 - TrianglesChapter 7.4 - Similar TrianglesChapter 7.5 - Right-triangle TrigonometryChapter 7.6 - Mathematics, Art, And Non-euclidean GeometriesChapter 7.CR - Chapter SummaryChapter 8.1 - PerimeterChapter 8.2 - AreaChapter 8.3 - Surface Area, Volume, And CapacityChapter 8.4 - Miscellaneous MeasurementsChapter 8.CR - Chapter SummaryChapter 9.1 - Euler Circuits And Hamiltonian CyclesChapter 9.2 - Trees And Minimum Spanning TreesChapter 9.3 - Topology And FractalsChapter 9.CR - Chapter SummaryChapter 10.1 - Exponential EquationsChapter 10.2 - Logarithmic EquationsChapter 10.3 - Applications Of Growth And DecayChapter 10.CR - Chapter SummaryChapter 11.1 - InterestChapter 11.2 - Installment BuyingChapter 11.3 - SequencesChapter 11.4 - SeriesChapter 11.5 - AnnuitiesChapter 11.6 - AmortizationChapter 11.7 - Summary Of Financial FormulasChapter 11.CR - Chapter SummaryChapter 12.1 - PermutationsChapter 12.2 - CombinationsChapter 12.3 - Counting Without CountingChapter 12.4 - Rubik's Cube And Instant InsanityChapter 12.CR - Chapter SummaryChapter 13.1 - Introduction To ProbabilityChapter 13.2 - Mathematical ExpectationChapter 13.3 - Probability ModelsChapter 13.4 - Calculated ProbabilitiesChapter 13.5 - Bayes'theoremChapter 13.6 - The Binomial DistributionChapter 13.CR - Chapter SummaryChapter 14.1 - Frequency Distributions And GraphsChapter 14.2 - Descriptive StatisticsChapter 14.3 - The Normal CurveChapter 14.4 - Correlation And RegressionChapter 14.5 - SamplingChapter 14.CR - Chapter SummaryChapter 15.1 - Cartesian Coordinates And Graphing LinesChapter 15.2 - Graphing Half-planesChapter 15.3 - Graphing CurvesChapter 15.4 - Conic SectionsChapter 15.5 - FunctionsChapter 15.CR - Chapter SummaryChapter 16.1 - Systems Of Linear EquationsChapter 16.2 - Problem Solving With SystemsChapter 16.3 - Matrix Solution Of A System Of EquationsChapter 16.4 - Inverse MatricesChapter 16.5 - Modeling With Linear ProgrammingChapter 16.CR - Chapter SummaryChapter 17.1 - VotingChapter 17.2 - Voting DilemmasChapter 17.3 - ApportionmentChapter 17.4 - Apportionment ParadoxesChapter 17.CR - Chapter SummaryChapter 18.1 - What Is Calculus?Chapter 18.2 - LimitsChapter 18.3 - DerivativesChapter 18.4 - IntegralsChapter 18.CR - Chapter Summary

Experience mathematics--and develop problem-solving skills that will benefit you throughout your life--with THE NATURE OF MATHEMATICS and its accompanying online learning tools. Karl Smith introduces you to proven problem-solving techniques and shows you how to use these techniques to solve unfamiliar problems. You'll also find coverage of interesting historical topics, and practical applications to settings and situations that you encounter in your day-to-day world, such as finance (amortization, installment buying, annuities) and voting. With this book's guidance, you'll both understand mathematical concepts and master the techniques.

We offer sample solutions for Nature of Mathematics (MindTap Course List) homework problems. See examples below: