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Karl Smith's loyal customers adopt his book for its clear writing, its coverage of historical topics, selection of topics, level, exercise sets (featuring great applications problems), and emphasis on problem solving. Since the First Edition of Smith's text was published, thousands of liberal arts students have "experienced" mathematics rather than just doing problems. Smith's writing style gives students the confidence and ability to function mathematically in their everyday lives. The emphasis on problem solving and estimation, along with numerous in-text study aids, encourages students to understand the concepts while mastering techniques.

Tabla de contenidos provista por Syndetics

• History of Mathematics--An Overview(p. xiii)
• 1 The Nature of Problem Solving(p. 1)
• 1.1 Problem Solving(p. 2)
• 1.2 Inductive and Deductive Reasoning(p. 18)
• 1.3 Scientific Notation and Estimation(p. 27)
• 1.4 Problem Solving with Sets(p. 43)
• Chapter 1 Summary(p. 56)
• 2 The Nature of Logic(p. 63)
• 2.1 Deductive Reasoning(p. 64)
• 2.2 Truth Tables and the Conditional(p. 72)
• 2.3 Operators and Laws of Logic(p. 81)
• 2.4 The Nature of Proof(p. 87)
• 2.5 Problem Solving Using Logic(p. 97)
• 2.6 Logic Circuits(p. 104)
• Chapter 2 Summary(p. 108)
• 3 The Nature of Calculation(p. 115)
• 3.1 Early Numeration Systems(p. 116)
• 3.2 Hindu--Arabic Numeration System(p. 125)
• 3.3 Different Numeration Systems(p. 129)
• 3.4 Binary Numeration System(p. 135)
• 3.5 History of Calculating Devices(p. 140)
• Chapter 3 Summary(p. 153)
• 4 The Nature of Numbers(p. 157)
• 4.1 Natural Numbers(p. 158)
• 4.2 Prime Numbers(p. 166)
• 4.3 Integers(p. 179)
• 4.4 Rational Numbers(p. 188)
• 4.5 Irrational Numbers(p. 195)
• 4.6 Real Numbers(p. 205)
• 4.7 Discrete Mathematics(p. 216)
• 4.8 Cryptography(p. 226)
• Chapter 4 Summary(p. 231)
• 5 The Nature of Algebra(p. 237)
• 5.1 Polynomials(p. 238)
• 5.2 Factoring(p. 246)
• 5.3 Evaluation, Applications, and Spreadsheets(p. 252)
• 5.4 Equations(p. 264)
• 5.5 Inequalities(p. 272)
• 5.6 Algebra in Problem Solving(p. 277)
• 5.7 Ratios, Proportions, and Problem Solving(p. 289)
• 5.8 Modeling Uncategorized Problems(p. 299)
• 5.9 Introduction to Computer BASIC(p. 309)
• Chapter 5 Summary(p. 323)
• 6 The Nature of Geometry(p. 327)
• 6.1 Geometry(p. 328)
• 6.2 Polygons and Angles(p. 338)
• 6.3 Triangles(p. 347)
• 6.4 Similar Triangles(p. 355)
• 6.5 Right-Triangle Trigonometry(p. 362)
• 6.6 Golden Rectangles(p. 370)
• 6.7 Euler Circuits and Hamiltonian Cycles(p. 377)
• 6.8 Topology and Fractals(p. 390)
• Guest Essay: Chaos(p. 400)
• 6.9 Projective and Non-Euclidean Geometries(p. 401)
• 6.10 Introduction to Computer Logo(p. 407)
• Chapter 6 Summary(p. 416)
• 7 The Nature of Measurement and Growth(p. 423)
• 7.1 Perimeter(p. 424)
• 7.2 Area(p. 433)
• 7.3 Surface Area, Volume, and Capacity(p. 443)
• 7.4 Miscellaneous Measurements(p. 456)
• 7.5 Exponential Equations(p. 466)
• 7.6 Logarithmic Equations(p. 474)
• 7.7 Applications of Growth and Decay(p. 483)
• Chapter 7 Summary(p. 493)
• 8 The Nature of Sequences, Series, and Financial Management(p. 500)
• 8.1 Interest(p. 501)
• 8.2 Installment Buying(p. 515)
• 8.3 Sequences(p. 524)
• 8.4 Series(p. 536)
• 8.5 Annuities(p. 547)
• 8.6 Amortization(p. 555)
• 8.7 Summary of Financial Formulas(p. 563)
• Chapter 8 Summary(p. 567)
• 9 The Nature of Probability(p. 574)
• 9.1 Introduction to Probability(p. 575)
• 9.2 Mathematical Expectation(p. 587)
• 9.3 Probability Models(p. 597)
• 9.4 Counting Formulas(p. 611)
• 9.5 Calculated Probabilities(p. 622)
• Guest Essay: Extrasensory Perception(p. 632)
• 9.6 Rubik's Cube and Instant Insanity(p. 635)
• Chapter 9 Summary(p. 639)
• 10 The Nature of Statistics(p. 647)
• 10.1 Frequency Distributions and Graphs(p. 648)
• 10.2 Descriptive Statistics(p. 663)
• 10.3 Voting and Apportionment(p. 676)
• 10.4 The Normal Curve(p. 689)
• 10.5 Correlation and Regression(p. 699)
• 10.6 Sampling(p. 709)
• Chapter 10 Summary(p. 715)
• 11 The Nature of Graphs and Functions(p. 723)
• 11.1 Graphing Lines(p. 724)
• 11.2 Graphing Half-Planes(p. 733)
• 11.3 Graphing Curves(p. 736)
• 11.4 Conic Sections(p. 742)
• 11.5 Functions(p. 756)
• 11.6 What Is Calculus?(p. 765)
• 11.7 Limits(p. 776)
• 11.8 Derivatives(p. 782)
• 11.9 Integrals(p. 793)
• Chapter 11 Summary(p. 802)
• 12 The Nature of Mathematical Systems(p. 807)
• 12.1 Systems of Linear Equations(p. 809)
• 12.2 Problem Solving with Systems(p. 813)
• 12.3 Matrix Solution of a System of Equations(p. 824)
• 12.4 Inverse Matrices(p. 835)
• 12.5 Systems of Inequalities(p. 849)
• 12.6 Modeling with Linear Programming(p. 851)
• Chapter 12 Summary(p. 859)
• Appendices(p. 864)
• A Problem Solving(p. 864)
• B Percents(p. 868)
• C Mathematics in the Natural Sciences, Social Sciences, and Humanities(p. 878)
• D U.S.-Metric Conversions(p. 898)
• E Table: Trigonometric Ratios(p. 900)
• F Table: Standard Normal Distribution; z-scores(p. 901)
• G Glossary(p. 902)
• H Selected Answers(p. 933)
• I Credits(p. 980)
• Index(p. 982)