The Nature of Mathematics 12th edition

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Karl Smith
Publisher: Cengage Learning

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  • Chapter 1: The Nature of Problem Solving
    • 1.1: Problem Solving (19)
    • 1.2: Inductive and Deductive Reasoning (13)
    • 1.3: Scientific Notation and Estimation (17)
    • 1.4 Summary

  • Chapter 2: The Nature of Sets
    • 2.1: Sets, Subsets, and Venn Diagrams (18)
    • 2.2: Operations with Sets (19)
    • 2.3: Applications of Sets (13)
    • 2.4: Finite and Infinite Sets (12)
    • 2.5:Summary

  • Chapter 3: The Nature of Logic
    • 3.1: Deductive Reasoning (31)
    • 3.2: Truth Tables and the Conditional (25)
    • 3.3: Operators and Laws of Logic (25)
    • 3.4: The Nature of Proof (13)
    • 3.5: Problem Solving Using Logic (9)
    • 3.6: Logic Circuits (8)
    • 3.7: Summary

  • Chapter 4: The Nature of Numeration Systems
    • 4.1: Early Numeration Systems (14)
    • 4.2: Hindu-Arabic Numeration System (19)
    • 4.3: Different Numeration Systems (28)
    • 4.4: Binary Numeration System (13)
    • 4.5: History of Calculating Devices (12)
    • 4.6: Summary

  • Chapter 5: The Nature of Numbers
    • 5.1: Natural Numbers (13)
    • 5.2: Prime Numbers (14)
    • 5.3: Integers (11)
    • 5.4: Rational Numbers (18)
    • 5.5: Irrational Numbers (15)
    • 5.6: Groups, Fields, and Real Numbers (15)
    • 5.7: Discrete Mathematics (14)
    • 5.8: Cryptography (8)
    • 5.9: Summary

  • Chapter 6: The Nature of Algebra
    • 6.1: Polynomials (14)
    • 6.2: Factoring (13)
    • 6.3: Evaluation, Applications, and Spreadsheets (14)
    • 6.4: Equations (14)
    • 6.5: Inequalities (21)
    • 6.6: Algebra in Problem Solving (17)
    • 6.7: Ratios, Proportions, and Problem Solving (31)
    • 6.8: Percents (32)
    • 6.9: Modeling Uncategorized Problems (12)
    • 6.10: Summary

  • Chapter 7: The Nature of Geometry
    • 7.1: Geometry (15)
    • 7.2: Polygons and Angles (18)
    • 7.3: Triangles (18)
    • 7.4: Similar Triangles (17)
    • 7.5: Right Triangle Trigonometry (18)
    • 7.6: Mathematics, Art, and Non-Euclidean Geometries (16)
    • 7.7: Summary

  • Chapter 8: The Nature of Networks and Graph Theory
    • 8.1: Euler Circuits and Hamiltonian Cycles (12)
    • 8.2: Trees and Minimum Spanning Trees (20)
    • 8.3: Topology and Fractals (9)
    • 8.4: Summary

  • Chapter 9: The Nature of Measurement
    • 9.1: Perimeter (27)
    • 9.2: Area (28)
    • 9.3: Surface Area, Volume and Capacity (24)
    • 9.4: Miscellaneous Measurement (23)
    • 9.5: U.S.-Metric Conversions
    • 9.6: Summary

  • Chapter 10: The Nature of Growth
    • 10.1: Exponential Equations (16)
    • 10.2: Logarithmic Equations (14)
    • 10.3: Applications of Growth and Decay (17)
    • 10.4: Summary

  • Chapter 11: The Nature of Financial Management
    • 11.1: Interest (31)
    • 11.2: Installment Buying (29)
    • 11.3: Sequences (25)
    • 11.4: Series (25)
    • 11.5: Annuities (25)
    • 11.6: Amortization (25)
    • 11.7: Summary of Financial Formulas (17)
    • 11.8: Summary

  • Chapter 12: The Nature of Counting
    • 12.1: Permutations (25)
    • 12.2: Combinations (25)
    • 12.3: Counting without Counting (26)
    • 12.4: Rubik's Cube and Instant Insanity (14)
    • 12.5: Summary

  • Chapter 13: The Nature of Probability
    • 13.1: Introduction to Probability (43)
    • 13.2: Mathematical Expectation (30)
    • 13.3: Probability Models (31)
    • 13.4: Calculated Probabilities (25)
    • 13.5: The Binomial Distribution (20)
    • 13.6: Summary

  • Chapter 14: The Nature of Statistics
    • 14.1: Frequency Distributions and Graphs (29)
    • 14.2: Descriptive Statistics (28)
    • 14.3: The Normal Curve (28)
    • 14.4: Correlation and Regression (17)
    • 14.5: Sampling (9)
    • 14.6: Summary

  • Chapter 15: The Nature of Graphs and Functions
    • 15.1: Cartesian Coordinates and Graphing Lines (20)
    • 15.2: Graphing Half-Planes (8)
    • 15.3: Graphing Curves (29)
    • 15.4: Conic Sections (19)
    • 15.5: Functions (26)
    • 15.6: Summary

  • Chapter 16: The Nature of Mathematical Systems
    • 16.1: Systems of Linear Equations (18)
    • 16.2: Problem Solving with Systems (23)
    • 16.3: Matrix Solution of a System of Equations (21)
    • 16.4: Inverse Matrices (19)
    • 16.5: Modeling with Linear Programming (20)
    • 16.6: Summary

  • Chapter 17: The Nature of Voting and Apportionment
    • 17.1: Voting (15)
    • 17.2: Voting Dilemmas (15)
    • 17.3: Apportionment (17)
    • 17.4: Apportionment Paradoxes (10)
    • 17.5: Summary

  • Chapter 18: The Nature of Calculus
    • 18.1: What Is Calculus? (4)
    • 18.2: Limits (5)
    • 18.3: Derivatives (8)
    • 18.4: Integrals (8)
    • 18.5: Summary


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CMI - Master It
XP - Extra Problem


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Group Quantity Questions
Chapter 1: The Nature of Problem Solving
1.1 19 006 009.CMI 013.CMI 018 020 021 022 024 027 031 032 034 035 039 041.CMI 043 049 052 056
1.2 13 007.CMI 008 012 018.CMI 021 025a.CMI 026.CMI 027.CMI 029 033 040 055 501.XP
1.3 17 008.CMI 010 012.CMI 014 016 019 026 028 030 032 036 041 043 047 053 055 058
Chapter 2: The Nature of Sets
2.1 18 009a 013a.CMI 014 018.CMI 020 021 024 028.CMI 031 032c.CMI 033 034 039.CMI 040 041.CMI 047 054 058
2.2 19 005 006 007 009 011 015 017 021 025 029.CMI 035.CMI 042 045 049 053 054.CMI 055.CMI 058 060
2.3 13 003.CMI 007 009 011 018 019.CMI 028 034 040 041 054 059 060
2.4 12 006.CMI 008.CMI 010 011 012 014 020 021 027.CMI 028.CMI 030 032
Chapter 3: The Nature of Logic
3.1 31 008.CMI 013 020 021 023 025 027 028 029 030 031 032 033 034 035 037 038.CMI 039 040.CMI 041 042 043 045 047 048 050 051 053 054.CMI 055 056
3.2 25 010 013 015.CMI 022 026 030 031 033 035 037 039.CMI 043 044 045 046 047.CMI 048 050 052 053 054 055 056 057 058
3.3 25 007 008 012.CMI 016 019 021 022 023 024 026 027 028 029 030 034 042 045 052 053 054 055 056.CMI 057 058 059
3.4 13 007.CMI 011 013 017 023 025 029 032 037.CMI 042 046 051 059
3.5 9 012 018 022 028 029.CMI 031 034 057.CMI 059.CMI
3.6 8 004 010 018 020.CMI 026 032.CMI 038 054.CMI
Chapter 4: The Nature of Numeration Systems
4.1 14 008.CMI 017.CMI 020 022 026 030 032 037 040 048.CMI 050 053 056 059
4.2 19 009 013 015 017 018.CMI 020 023 024 025 027.CMI 030 031 032.CMI 033 035 036.CMI 039.CMI 043 044
4.3 28 005 006 007 009 010 011 013 017 021 026 030.CMI 033 035a 037a 038 039.CMI 044 045 046 048.CMI 049 051 053 054 055 056 058 059
4.4 13 003 010 018.CMI 024 028 031 035 039 044 049 052 057.CMI 501.XP
4.5 12 011 013 014 015 016 024 032 034 041 046.CMI 048.CMI 050.CMI
Chapter 5: The Nature of Numbers
5.1 13 012 015 016.CMI 021 026 032.CMI 033 041 042 045 053 055 056
5.2 14 010.CMI 014.CMI 015 017a.CMI 019a.CMI 020.CMI 025 034 037 042.CMI 046 049 052 056
5.3 11 008.CMI 014 019 022.CMI 030.CMI 036 040 046 048 053 058
5.4 18 006 007a.CMI 009b.CMI 012a.CMI 013a.CMI 014.CMI 016a 020.CMI 026 031 034 037 040 042.CMI 043 046 055 059
5.5 15 008.CMI 010.CMI 012 017 020 026 030 036 038 039 042.CMI 046.CMI 049 051 053
5.6 15 008 012.CMI 013 016.CMI 020.CMI 022.CMI 026 031 036 044 046 049 051 052 059
5.7 14 006 010 011.CMI 016 017 021 024 028 031 032.CMI 036 042 056 059
5.8 8 004 006 011 014 018.CMI 022.CMI 026 030
Chapter 6: The Nature of Algebra
6.1 14 008 014 018 022.CMI 023 028 032.CMI 036 040 042 046 051 052 056
6.2 13 003 008.CMI 014 020 026 030.CMI 036 040 046 050 052 054 058.CMI
6.3 14 006 009 012 013 016.CMI 019 024 032 042 044.CMI 048 054.CMI 057 060
6.4 14 005 006 012 016 023.CMI 027 033 036 040 046 052 053 055 058
6.5 21 009 014 016 017 020 021 022 026 030.CMI 031.CMI 032 033.CMI 038 040 041 046 049.CMI 053.CMI 055 056 058
6.6 17 004 010 011 014 017 019 024 025 028 032 037 041 043 047 050 054 058
6.7 31 005 007 008 009 011.CMI 012c 013a.CMI 014a 014b 015 018 019 021 024.CMI 026.CMI 030.CMI 032 033.CMI 036 037 038 040 041 043 044 046 048 051 053 056 058
6.8 32 001 002.CMI 003.CMI 006.CMI 007 008.CMI 009.CMI 012.CMI 014 016.CMI 017 019 020 022a 024 025b 028 030 033 034 035.CMI 039 042 044 047 049.CMI 050.CMI 051 054 056 058 060
6.9 12 007 015 018 022 032 035 040 041 044.CMI 048 052 056
Chapter 7: The Nature of Geometry
7.1 15 011 012.CMI 016.CMI 019 020 028 031 033.CMI 037.CMI 039.CMI 040 046 050 056 058
7.2 18 009 011 013 015 017 020 025 032 033 034 035 036.CMI 039 043 050 054 056.CMI 057.CMI
7.3 18 009 010 012 013.CMI 018.CMI 029 031 032 034.CMI 035 038.CMI 040.CMI 041.CMI 044 045 048 051 057
7.4 17 003 007 010.CMI 012 018.CMI 021 024 027.CMI 029 032 034 039 041.CMI 043 045 047 053
7.5 18 006 012 016 020 026 029 032 037 038.CMI 040 043 045 047.CMI 048 050 052 055 060.CMI
7.6 16 011 014 017 020 022 024 025.CMI 029 035.CMI 036 038.CMI 039.CMI 040.CMI 041.CMI 042 053
Chapter 8: The Nature of Networks and Graph Theory
8.1 12 006.CMI 009 012.CMI 018 023 024.CMI 027 028.CMI 038 042 048.CMI 050
8.2 20 004.CMI 008 011 012 016 018 020 025 026 029 031 032 035 037 038 041 043 048 050 057
8.3 9 003 004 007.CMI 009.CMI 012.CMI 013.CMI 015 024 501.XP
Chapter 9: The Nature of Measurement
9.1 27 005 009 011 013 019 023 025 027 029 030 031 032 033 037 039 040 041 043 044 045 046 047 048 051 053.CMI 054 056
9.2 28 004 006.CMI 008 009 014 018 019.CMI 022 025 027 028 029 030 032 033.CMI 034 039 040 041 043 044 045 046 049 051 053 055 057
9.3 24 007.CMI 009 013 017a.CMI 018a 018b 020a 025 031 034 035 038 041 043 045 047 049 051 052 054 055b 056 057.CMI 058
9.4 23 004b 010 015 016 018 021 024 028 030 031 038 040 043 044 046 047.CMI 048 050 051 054 056 058.CMI 060.CMI
Chapter 10: The Nature of Growth
10.1 16 008 012 013 019 023 026 030 032 036 038 044 045 050 053 056 058
10.2 14 021 023 026 029 034 035 036 037 041 047 051 055 056 058
10.3 17 005 009 013 017.CMI 021 024 026 029.CMI 031 035 037 038 041 052.CMI 055 057.CMI 060
Chapter 11: The Nature of Financial Management
11.1 31 008 011 013 015 016 019 020 022.CMI 024 026 030 032 034 035abcd 036abcd 036efgh 037 041.CMI 042 044 045 046 048 049 051 052 053 055 057 058 060
11.2 29 007 010 012 013 017 018 020 022 025 030 031 032c 034.CMI 036 039 042 044 045 046 047 048 049 050 051 052 053.CMI 054 059 060
11.3 25 006 012 019 023 027 031 032 033 036 037 038 039 040 042 044 046 048.CMI 049 050 051 052 053 054 055 060
11.4 25 005 007 009 011 014.CMI 018 019 022 028 035 038 041.CMI 043 044 045 046 049 050 052.CMI 053 054 055 056 057 060
11.5 25 007 015 020.CMI 023 025 028.CMI 032 034 035 038.CMI 040 042 045.CMI 046 047 048.CMI 049 050 051 052 053 054 055 056.CMI 060.CMI
11.6 25 004 008 010.CMI 012 015.CMI 020 027.CMI 031 032 037 040.CMI 041 042 043 044 045 046 047 049 050 051 052 053 055 058
11.7 17 008 012.CMI 016 019 020 023.CMI 026 029 034 038 040 042 048 052 054 056.CMI 060
Chapter 12: The Nature of Counting
12.1 25 004.CMI 009 014 024.CMI 029 030 034 037 040 044 045 046 047 048 049 051 052 053 054 055 056 057 058 059 060
12.2 25 006.CMI 014.CMI 018 021 022 028 029 032 035 037 038 040 042 043 045 047 048 049 050 052 053 054 055 057 058
12.3 26 003 004 008.CMI 011 017 019.CMI 021 023 024 027 029 030 031 032 033 037 039 041 042 043 045 047 049 052 057 058
12.4 14 001 003 007 012 015 019 021 030.CMI 038.CMI 042 044 046.CMI 051.CMI 057
Chapter 13: The Nature of Probability
13.1 43 004.CMI 006 007 008 009 010 011 013 014 015 016 017 018 023 025 026 027 029 030 031 032 033 034 035 037 038 039 040 041 044 047 048 049 050 051 052 053 055a 056 057 058 059 060
13.2 30 006 009 013.CMI 015 017 018 019 020 024 027 030 032 033 034 035 036 037 039 040.CMI 041 042 043 044 045 046.CMI 047 048 057 058 059
13.3 31 006 008 010 012 017 018 019 020 022 025 026 027 028 029 030 031 033 036 037 039 041 043 044.CMI 045 048 049 050 051 052 053 055
13.4 25 005 009 014 019 022 023 029 032 033 036.CMI 037 038 039 040 041 042 043 044.CMI 045.CMI 046 047.CMI 048.CMI 049 050 058
13.5 20 003 006 010 017 019 023 026 027 031 033 035 038 040 043 045 047 051 053 057 501.XP
Chapter 14: The Nature of Statistics
14.1 29 005.CMI 007 009.CMI 011 012 013 015 018 019 020 021 022 023 024 026 028 032 035.CMI 036 041 042 043 044 047 052 053 055 056 057
14.2 28 012 017 019.CMI 021 022 025 028 031 032 033.CMI 034 035 036 037.CMI 039 041 042 043 044 045 046 047 050 052 053 056 057 058
14.3 28 007 010 013 017 020 025 026.CMI 030.CMI 031 032 035 039 042 043 045 046 047.CMI 048 049 050 051.CMI 052 053 054 055 056 058 060
14.4 17 007.CMI 019 022 024.CMI 026 029.CMI 031 037 040.CMI 041 043 045 047 050.CMI 053 056.CMI 059
14.5 9 004 005.CMI 008.CMI 011.CMI 013 014.CMI 015.CMI 016.CMI 021.CMI
Chapter 15: The Nature of Graphs and Functions
15.1 20 001d 008 012 015 018 019 023 028 029 031 036.CMI 039.CMI 040 041 044 045 053 054 055 057
15.2 8 004 012 016 018 022 023 025 028
15.3 29 003 006.CMI 007.CMI 012 013 014 017 018 020 021 023 024.CMI 025 027 028 030.CMI 032.CMI 035 038 040 042 045 046 047 048 049.CMI 057 058 060
15.4 19 009 012 014 017 021 023 024 027 028 033 035.CMI 038 040 043 044.CMI 048 053 055 059
15.5 26 003.CMI 008 011 013 016 017 020 021 022ab 023ab.CMI 024 026 027 029 031 033 035 037 040 044 047.CMI 050 051 054 058 059
Chapter 16: The Nature of Mathematical Systems
16.1 18 006 010 013 014.CMI 018 024.CMI 026 029.CMI 033 037 038 042.CMI 044.CMI 051 052 055 059 060
16.2 23 004.CMI 006 009 010 013.CMI 018 019 022 024 026 029 032 035 037 039 041.CMI 043 046 050 053 055 057 058
16.3 21 004 008 012 014.CMI 015.CMI 019 021 024 027 028 030 032 035 036 039 041 044.CMI 048 052 057.CMI 060.CMI
16.4 19 009 013 016 017.CMI 021 024 026 027 031 033 036.CMI 039 042.CMI 045 048 051 054.CMI 055 060
16.5 20 005 009.CMI 013 018.CMI 019 021 025 027 029 031 034 035 038 041 044 047.CMI 051 053 057 059
Chapter 17: The Nature of Voting and Apportionment
17.1 15 012 016 019 022 026 027 028 031 035 039 044 045 048 054 055
17.2 15 011 013 016 019 022 024 025.CMI 029 030 038 043 046 050 055 060
17.3 17 009 014 016 020 023 025 027 031.CMI 034.CMI 041 045 047 050 051 055 056 059.CMI
17.4 10 006 010.CMI 011 014 015 018 020.CMI 023 026 028
Chapter 18: The Nature of Calculus
18.1 4 014 020.CMI 022.CMI 025.CMI
18.2 5 004 008 016.CMI 023.CMI 028
18.3 8 001 002 005 007 010 014 021 027
18.4 8 002 006 008 012.CMI 022.CMI 024 026 028
Total 1688