The Nature of Mathematics 13th edition

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Karl Smith
Publisher: Cengage Learning

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  • Smith The Nature of Mathematics 13e
  • Responsive Labs

Access is contingent on use of this textbook in the instructor's classroom.

  • Chapter 1: The Nature of Problem Solving
    • 1.1: Problem Solving (25)
    • 1.2: Inductive and Deductive Reasoning (20)
    • 1.3: Scientific Notation and Estimation (23)
    • 1: Review Questions

  • Chapter 2: The Nature of Sets
    • 2.1: Sets, Subsets, and Venn Diagrams (26)
    • 2.2: Operations with Sets (26)
    • 2.3: Applications of Sets (24)
    • 2.4: Finite and Infinite Sets (22)
    • 2: Review Questions
    • 2: Responsive Lab: Venn Diagrams (1)

  • Chapter 3: The Nature of Logic
    • 3.1: Deductive Reasoning (37)
    • 3.2: Truth Tables and the Conditional (29)
    • 3.3: Operators and Laws of Logic (31)
    • 3.4: The Nature of Proof (21)
    • 3.5: Problem Solving Using Logic (14)
    • 3.6: Logic Circuits (13)
    • 3: Review Questions

  • Chapter 4: The Nature of Numeration Systems
    • 4.1: Early Numeration Systems (20)
    • 4.2: Hindu-Arabic Numeration System (25)
    • 4.3: Different Numeration Systems (34)
    • 4.4: Binary Numeration System (17)
    • 4.5: History of Calculating Devices (12)
    • 4: Review Questions

  • Chapter 5: The Nature of Numbers
    • 5.1: Natural Numbers (18)
    • 5.2: Prime Numbers (19)
    • 5.3: Integers (17)
    • 5.4: Rational Numbers (23)
    • 5.5: Irrational Numbers (20)
    • 5.6: Groups, Fields, and Real Numbers (20)
    • 5.7: Discrete Mathematics (19)
    • 5.8: Cryptography (10)
    • 5: Review Questions

  • Chapter 6: The Nature of Algebra
    • 6.1: Polynomials (18)
    • 6.2: Factoring (17)
    • 6.3: Evaluation, Applications, and Spreadsheets (17)
    • 6.4: Equations (16)
    • 6.5: Inequalities (25)
    • 6.6: Algebra in Problem Solving (19)
    • 6.7: Ratios, Proportions, and Problem Solving (34)
    • 6.8: Percents (33)
    • 6.9: Modeling Uncategorized Problems (14)
    • 6: Review Questions
    • 6: Responsive Lab: Scaling a Recipe (1)

  • Chapter 7: The Nature of Geometry
    • 7.1: Geometry (19)
    • 7.2: Polygons and Angles (25)
    • 7.3: Triangles (20)
    • 7.4: Similar Triangles (21)
    • 7.5: Right-Triangle Trigonometry (21)
    • 7.6: Mathematics, Art, and Non-Euclidean Geometries (20)
    • 7: Review Questions

  • Chapter 8: The Nature of Measurement
    • 8.1: Perimeter (31)
    • 8.2: Area (34)
    • 8.3: Surface Area, Volume, and Capacity (28)
    • 8.4: Miscellaneous Measurements (32)
    • 8.5: U.S.–Metric Conversions
    • 8: Review Questions
    • 8: Responsive Lab: Regular Polygons (1)

  • Chapter 9: The Nature of Networks and Graph Theory
    • 9.1: Euler Circuits and Hamiltonian Cycles (18)
    • 9.2: Trees and Minimum Spanning Trees (22)
    • 9.3: Topology and Fractals (18)
    • 9: Review Questions
    • 9: Responsive Lab: Complete Graph Algorithms (1)

  • Chapter 10: The Nature of Growth
    • 10.1: Exponential Equations (23)
    • 10.2: Logarithmic Equations (22)
    • 10.3: Applications of Growth and Decay (24)
    • 10: Review Questions
    • 10: Responsive Lab: Population Growth (1)

  • Chapter 11: The Nature of Financial Management
    • 11.1: Interest (38)
    • 11.2: Installment Buying (35)
    • 11.3: Sequences (28)
    • 11.4: Series (29)
    • 11.5: Annuities (27)
    • 11.6: Amortization (29)
    • 11.7: Summary of Financial Formulas (23)
    • 11: Review Questions
    • 11: Responsive Lab: Credit Cards (1)

  • Chapter 12: The Nature of Counting
    • 12.1: Permutations (30)
    • 12.2: Combinations (32)
    • 12.3: Counting without Counting (32)
    • 12.4: Rubik's Cube and Instant Insanity (17)
    • 12: Review Questions
    • 12: Responsive Lab: License Plates (1)

  • Chapter 13: The Nature of Probability
    • 13.1: Introduction to Probability (47)
    • 13.2: Mathematical Expectation (33)
    • 13.3: Probability Models (36)
    • 13.4: Calculated Probabilities (33)
    • 13.5: Bayes' Theorem (20)
    • 13.6: The Binomial Distribution (22)
    • 13: Review Questions

  • Chapter 14: The Nature of Statistics
    • 14.1: Frequency Distributions and Graphs (31)
    • 14.2: Descriptive Statistics (34)
    • 14.3: The Normal Curve (31)
    • 14.4: Correlation and Regression (24)
    • 14.5: Sampling (12)
    • 14: Review Questions
    • 14: Responsive Lab: Approximately Normal Distributions (1)

  • Chapter 15: The Nature of Graphs and Functions
    • 15.1: Cartesian Coordinates and Graphing Lines (23)
    • 15.2: Graphing Half-Planes (18)
    • 15.3: Graphing Curves (32)
    • 15.4: Conic Sections (24)
    • 15.5: Functions (31)
    • 15: Review Questions

  • Chapter 16: The Nature of Mathematical Systems
    • 16.1: Systems of Linear Equations (24)
    • 16.2: Problem Solving with Systems (30)
    • 16.3: Matrix Solution of a System of Equations (27)
    • 16.4: Inverse Matrices (23)
    • 16.5: Modeling with Linear Programming (23)
    • 16: Review Questions

  • Chapter 17: The Nature of Voting and Apportionment
    • 17.1: Voting (22)
    • 17.2: Voting Dilemmas (21)
    • 17.3: Apportionment (22)
    • 17.4: Apportionment Paradoxes (15)
    • 17: Review Questions
    • 17: Responsive Lab: Arrow's Impossibility Theorem (1)

  • Chapter 18: The Nature of Calculus
    • 18.1: What Is Calculus? (19)
    • 18.2: Limits (21)
    • 18.3: Derivatives (22)
    • 18.4: Integrals (20)
    • 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


Nature of Mathematics, 13th edition, by Karl Smith is written for liberal arts students and based on the belief that learning to solve problems is the principal reason for studying mathematics. Karl Smith introduces students to Polya's problem-solving techniques and shows them how to use these techniques to solve unfamiliar problems that they encounter in their own lives. Through the emphasis on problem solving and estimation, along with numerous in-text study aids, students are assisted in understanding the concepts and mastering the techniques. The WebAssign enhancement to this textbook engages students with immediate feedback, rich tutorial content, video instruction, and a full eBook.

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Group Quantity Questions
Chapter 1: The Nature of Problem Solving
1.1 25 008 010 014 015 019 021 022 023 027 031 032 034 035 036 039 040 041 043 049 052 055 056 057 501.XP 502.XP
1.2 20 007 008 012 013 017 018 021 025a 026 027 031 035 039 044 046 051 052 055 060 501.XP
1.3 23 008 010 012 013 014 016 017 019 021 026 028 030 032 033 034 035 036 041 043 047 055 058 501.XP
Chapter 2: The Nature of Sets
2.Lab 1 001
2.1 26 005a 009a 010 013 014 016 017 020 023 024 026 029 031 033 034 036 037c 038 039 044 045 046 047 051a 054b 058
2.2 26 007a 007b 008a 008c 009a 010 013 014 015 017 020 021a 023a 025 030 031 037 038 041 046 047 053 054 055 058 060
2.3 24 003 004 007 009 011 017 018 019 028 034 038 039 042 044 046 048 049 052 053 057 058-059 060 501.XP 502.XP
2.4 22 006 008 010 011 012 013 014 016 017 023 027 028 030 032 033 035 041 043 048 052 053 054
Chapter 3: The Nature of Logic
3.1 37 008 013 015 018 020 021 023 025 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 045 047 048 050 051 052 053 054 055 056 057 501.XP
3.2 29 010 013 015 018 022 025 027 030 031 033 035 037 039 043 044 045 046 047 048 049 050 052 053 054 055 056 057 058 501.XP
3.3 31 005 006 007 008 011 012 014 015 018 019 020 021 022 023 025 026 027 028 029 033 041 044 051 052 053 054 056 057 058 059 060
3.4 21 005 007 009 011 015 017 018 021 023 029 030 033 034 035 036 037 041 042 046 051 059
3.5 14 006 012 018 022 023 024 025 027 028 029 031 034 057 059
3.6 13 004 010 013 015 017 018 020 026 032 038 043 049 054
Chapter 4: The Nature of Numeration Systems
4.1 20 009 013 014 016 019 020 021 025 026 029 031 036 039 041 047 049 052 055 056 059
4.2 25 009 012 013 015 017 018 020 023 024 025 027 029 030 031 032 034 035 036 037 038 042 043 050 056 501.XP
4.3 34 005 006 007 009 010 011 013 014 017 018 021 024 026 029 030 033 034a 036a 037 038 039 043 044 045 047 048 050 052 053 054 055 056 057 058
4.4 17 003 010 017 018 024 028 031 035 039 041 044 046 049ab 052 054 056a 501.XP
4.5 12 011 013 014 015 016 024 032 034 041 046 048 050
Chapter 5: The Nature of Numbers
5.1 18 011 014 015 018 020 024 026 033 034 043 045a 047 048 052 053 054 055 056
5.2 19 010 014 015 016 017a 018 019a 020 023 032 033 035 038 040 042 047 050 056 501.XP
5.3 17 008 014 019 020 022 027 030 031 035 036 040 046 047 048 053 054 058
5.4 23 007 008a 010b 013a 014a 015 017a 018 020 021 027 030 032 035 038 039 041 043 044 045 055 057 059
5.5 20 007 009 010 011 016 019 022 025 026 029 035 037 038 039 041 044 045 048 050 052
5.6 20 008 010 012 013 016 020 022 024 026 027 029 032 037 045 047 049 051 052 056 059
5.7 19 006 010 011 013 016 017 020 021 024 026 027 028 030b 031 035 039 042 056 059
5.8 10 012 022 027 036 042 043 047 048 053 056
Chapter 6: The Nature of Algebra
6.Lab 1 001
6.1 18 007 013 014 016 017 022 023 028 030 033 035 037 041 043 047 052 053 057
6.2 17 003 008 014 020 026 027 030 036 040 044 046 049 051 052 054 056 058
6.3 17 005 006 009 012 013 016 019 024 032 041 042 044 048 052 055 057 060
6.4 16 005 006 008 012 016 023 027 033 036 040 041 046 052 053 055 058
6.5 25 009 014 016 017 020 021 022 026 030 031 032 033 036 037 038 040 041 044 046 049 051 053 055 056 058
6.6 19 004 010 011 014 016 017 019 023 024 028 029 032 037 041 043 047 050 054 058
6.7 34 005a 006a 006b 007 011 012c 013a 014a 014b 015 018 019 021 024 026 030 032 033 036 037 038 039 040 041 042 043 044 046 048 051 053 056 058 501.XP
6.8 33 001 002 003 006 007 008 009 012 014 016 017 019 020 022a 024 025b 028 030 033 034 035 038 039 042 044 047 048 049 052 054 056 058 501.XP
6.9 14 007 009 015 018 022 032 035 037 040 041 044 048 052 056
Chapter 7: The Nature of Geometry
7.1 19 011 012 016 019 020 023 028 031 033 037 039 040 046 048 050 054 055 056 058
7.2 25 009ab 010ab 010d 011 013 014 015 022 023 024 025 027 028 032 033 034 035 038 039 040 043 052 053 056 501.XP
7.3 20 005 009 010 012 013 018 024 033 035 036 038 039 042 044 045 048 049a 049b 051b 057
7.4 21 003 004 005 007 010 012 018 021 023 024 027 029 032 034 041 043 045 047 048 050 056
7.5 21 006 012 016 020 024 026 029 032 035 037 038 040 043 045 047 048 050 052 053 055 060
7.6 20 006 007 010 013 016 018 020 021 028 031 033 037 038abc 039 040 041 042 053 058 501.XP
Chapter 8: The Nature of Measurement
8.Lab 1 001
8.1 31 006 011 013 015 021 025 027 028 029 030 031 032 033 034 037 039 040 041 042 043 044 045 046 047 048 049 050 051 053 054 056
8.2 34 004 006 007 008 009 014 018 019 022 025 026 027 028 029 030 031 032 033 034 038 039 040 041 043 044 045 046 047 049 051 053 055 057 501.XP
8.3 28 007 009 013 017a 018a 018b 020a 025 031 034 035 037 038 041 043 044 045 046 047 049 050 051 052 054 055b 056 057 058
8.4 32 005b 011 012 017 022 023 025 026 027 028 031 032 038 039 041 043 045 046 048 049 050 051 052 053 054 056 058 060 501.XP 502.XP 503.XP 504.XP
Chapter 9: The Nature of Networks and Graph Theory
9.Lab 1 001
9.1 18 006 007 009 011 012 016 018 023 024 027 028 030 038 042 048 050 051 501.XP
9.2 22 005 008 009 012 013 017 019 021 026 027 030 032 033 036 038 039 042 044 048 050 052 057
9.3 18 007 008 013 016 021 022 029 030 035 036 042 043 050 054 501.XP 502.XP 503.XP 504.XP
Chapter 10: The Nature of Growth
10.Lab 1 001
10.1 23 008 012 013 017 018 019 021 022 023 026 030 032 036 038 042 044 045 049 050 053 056 058 059
10.2 22 010 014 019 020 021 022 024 027 028 032 033 034 035 039 042 045 049 052 054 055 058 059
10.3 24 005 009 012 013 016 017 020 021 024 026 029 031 033 035 037 038 039 041 046 053 056 057 059 060
Chapter 11: The Nature of Financial Management
11.Lab 1 001
11.1 38 007 010 012 014 015 018 019 021 023 024 025 028 029 030 032 037 037abcd 038 038abcd 038efgh 039 042 043 045 046 047 049 051 053 054 056 057 058 501.XP 502.XP 503.XP 504.XP 505.XP
11.2 35 007 010 012 013 015 017 018 020 022 024 025 030 031 032c 033 034 036 039 042 044 045 046 048 050 051 052 053 054 055 056 058 059 060 501.XP 502.XP
11.3 28 005 011 018 022 026 027 030 031 032 033 035 036 037 038 039 041 043 045 046 047 048 049 050 051 052 053 054 060
11.4 29 005 007 009 011 014 015 018 019 020 022 028 035 038 039 041 043 044 045 047 049 050 052 053 054 055 056 057 059 501.XP
11.5 27 007 011 015 020 023 025 028 032 034 035 038 040 042 045 046 047 048 049 050 051 052 053 054 055 056 059 060
11.6 29 005 006 009 011 013 016 021 028 032 033 038 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 058 060 501.XP
11.7 23 006 008 012 016 017 019 020 022 023 024 026 029 034 036 038 039 040 042 048 052 054 056 060
Chapter 12: The Nature of Counting
12.Lab 1 001
12.1 30 004 009 014 017 023 028 029 032 036 039 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 059 501.XP 502.XP 503.XP
12.2 32 006 014 017 022 023 024 025 031 032 033 036 037 039 041 042 044 047 048 049 050 051 052 053 054 055 056 058 059 501.XP 502.XP 503.XP 504.XP
12.3 32 004 006 007 008 009 011 015 016 017 019 021 023 024 027 029 030 031 032 033 037 040 041 042 044 045 046 048 050 056 057a 501.XP 502.XP
12.4 17 001 003 007 012 015 019 021 029 030 033 035 038 042 044 046 051 057
Chapter 13: The Nature of Probability
13.1 47 005 006 007 008 009 010 011 012 013a 013b 014a 014b 015a 015b 016 023 024 026 027 028 030 031 032 033 034 035 037 038 039 040 041 044 047 048 049 050 051 052 053 055a 056 057 058 059 060 501.XP 502.XP
13.2 33 007 010 012 014 015 016 017 018 019 020 021 025 028 031 033 034 035 036 037 038 040 041 042 043 044 045 046 047 048 049 057 058 059
13.3 36 005 007 009 011 013 016 017 018 019 020 021 022 024 025 026 027 028 030 031 033 036 037 038 039 041 043 044 045 046ab 046cd 049 050 051 052 054 501.XP
13.4 33 005a 005b 010b 011 012 013 019 022 023 026 028 029 030 035 037 038 040 041 042 043 044 045 046 047 048 049 050 052 058 501.XP 502.XP 503.XP 504.XP
13.5 20 004 006 008 009 010 013 016 018 019 024 030 033 035 042 044 045 047 054 058 060
13.6 22 003 006 010 017 019 023 026 027 031 033 035 038 040 042 043 044 045 047 051 053 057 501.XP
Chapter 14: The Nature of Statistics
14.Lab 1 001
14.1 31 005 006 007 009 010 011 012 013 015 018 019 020 021 022 023 024 026 028 032 035 036 041 042 043 044 047 052 053 055 056 057
14.2 34 011 012 016 017 018 020 022 023 026 027 029 030 031 033 034 035 036 038 039 040 041 042 043 044 045 046 048 049 051 053 056 057 058 501.XP
14.3 31 005 008 009 011 015 018 023 024 027 028a 028b 031 033 035 039 042 043 045 046 047 048 049 050 051 052 053 054 055 056 058 060
14.4 24 007 013 018 019 024 025 026 028 030 034 037 041 044 045 047 049 053 054 055 057 058 501.XP 502.XP 503.XP
14.5 12 006 008 014 015 016 019 022 024 025 027 031 036
Chapter 15: The Nature of Graphs and Functions
15.1 23 001d 007 008 012 015 018 019 022 023 028 029 031 036 039 040 041 044 045 050 053 054 055 057
15.2 18 005 007 013 017 019 021 023 035 036 039 040 044 047 049 050 055 056 501.XP
15.3 32 003 006 007 012 013 014 017 018 020 021 023 024 025 026 027 028 029 030 032 035 038 040 042 043 045 046 047 048 049 058 060 501.XP
15.4 24 009 012 014 017 021 023 024 027 028 031 033 034 035 038 039 040 041 043 044 048 053 055 056 059
15.5 31 003 006 008 011 013 016 017 020 021 022ab 023ab 024 025 026 027 029 030 031 033 035 037 040 043 044 047 049 050 051 054 058 059
Chapter 16: The Nature of Mathematical Systems
16.1 24 007 010 011 013 014 015 019 021 023 025 027 030 031 034 038 039 043 045 051 052 053 056 059 060
16.2 30 003 004 006 009 010 013 018 019 022 023 024 025 026 028 029 032 033 034 035 037 039 041 043 046 050 053 055 057 058 059
16.3 27 004 008 012 014 015 016 017 019 021 023 024 027 028 030 032 035 036 039 041 044 048 049 052 057 058 059 060
16.4 23 009 012 013 016 017 021 024 025 026 027 031 033 036 039 042 045 048 051 054 055 058 059 060
16.5 23 005 009 013 018 019 021 024 025 027 029 030 031 034 035 038 041 044 047 051 053 054 057 059
Chapter 17: The Nature of Voting and Apportionment
17.Lab 1 001
17.1 22 012 016 018 019 022 025 026 027 028 031 035 039 040 041 042 043 044 045 048 049 054 055
17.2 21 011 013 015 016 018 019 022 023 024 025 027 028 029 030 038 043 046 050 051 055 060
17.3 22 009 014 015 016 018 020 023 025 027 030 031 034 041 045 047 050 051 055 056 057 058 059
17.4 15 008 014 015 018 019 022 024 027 028 029 030 037-041 051 054-056 058
Chapter 18: The Nature of Calculus
18.1 19 006 009 011 017 020 021 022 028 030 034 037 038 039 042 044 045 048 050 057
18.2 21 003 005 008 009 010 012 014 016 021 026 028 032 034 038 042 047 048 051 054 056 060
18.3 22 005-008 009-012 018 019-026 020 023 024 025 026 028 030 031 033 034 035 040 042 043 048 049 053 059
18.4 20 002 005 007 008 009 010 018 019 021 034 038 040 041 043 045 046 048 055 058 059
Total 2205