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The Nature of Mathematics 11th edition

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Karl J. Smith
Publisher: Brooks/Cole

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Table of Contents

  • Chapter 1: The Nature of Problem Solving
    • 1.1: Problem Solving (8)
    • 1.2: Inductive and Deductive Reasoning (8)
    • 1.3: Scientific Notation and Estimation (8)

  • Chapter 2: The Nature of Sets
    • 2.1: Sets, Subsets, and Venn Diagrams (8)
    • 2.2: Operations with Sets (8)
    • 2.3: Applications of Sets (8)
    • 2.4: Finite and Infinite Sets (8)

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

  • Chapter 4: The Nature of Numeration Systems
    • 4.1: Early Numeration Systems (8)
    • 4.2: Hindu-Arabic Numeration System (8)
    • 4.3: Different Numeration System (8)
    • 4.4: Binary Numeration System (8)
    • 4.5: History of Calculating Devices (8)

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

  • Chapter 6: The Nature of Algebra
    • 6.1: Polynomials (8)
    • 6.2: Factoring (8)
    • 6.3: Evaluation, Applications, and Spreadsheets (8)
    • 6.4: Equations (8)
    • 6.5: Inequalities (8)
    • 6.6: Algebra in Problem Solving (8)
    • 6.7: Ratios, Proportions, and Problem Solving (8)
    • 6.8: Percents (8)
    • 6.9: Modeling Uncategorized Problems (8)

  • Chapter 7: The Nature of Geometry
    • 7.1: Geometry (8)
    • 7.2: Polygons and Angles (8)
    • 7.3: Triangles (8)
    • 7.4: Similar Triangles (8)
    • 7.5: Right-Triangle Trigonometry (8)
    • 7.6: Mathematics, Art, and Non-Euclidean Geometries (8)

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

  • Chapter 9: The Nature of Measurement
    • 9.1: Perimeter (8)
    • 9.2: Area (8)
    • 9.3: Surface Area, Volume, and Capacity (8)
    • 9.4: Miscellaneous Measurements (8)
    • 9.5: U.S. - Metric Conversions

  • Chapter 10: The Nature of Growth
    • 10.1: Exponential Equations (8)
    • 10.2: Logarithmic Equations (8)
    • 10.3: Applications of Growth and Decay (8)

  • Chapter 11: The Nature of Financial Management
    • 11.1: Interest (8)
    • 11.2: Installment Buying (8)
    • 11.3: Sequences (8)
    • 11.4: Series (8)
    • 11.5: Annuities (8)
    • 11.6: Amortization (8)
    • 11.7: Summary of Financial Formulas (8)

  • Chapter 12: The Nature of Counting
    • 12.1: Permutations (8)
    • 12.2: Combinations (8)
    • 12.3: Counting Without Counting (8)
    • 12.4: Rubik's Cube and Instant Insanity (8)

  • Chapter 13: The Nature of Probability
    • 13.1: Introduction to Probability (8)
    • 13.2: Mathematical Expectation (8)
    • 13.3: Probability Models (8)
    • 13.4: Calculated Probabilities (8)
    • 13.5: The Binomial Distribution (8)

  • Chapter 14: The Nature of Statistics
    • 14.1: Frequency Distributions and Graphs (8)
    • 14.2: Descriptive Statistics (8)
    • 14.3: The Normal Curve (8)
    • 14.4: Correlation and Regression (8)
    • 14.5: Sampling (5)

  • Chapter 15: The Nature of Graphs and Functions
    • 15.1: Cartesian Coordinates and Graphing Lines (8)
    • 15.2: Graphing Half-Planes (4)
    • 15.3: Graphing Curves (8)
    • 15.4: Conic Sections (8)
    • 15.5: Functions (8)

  • Chapter 16: The Nature of Mathematical Systems
    • 16.1: Systems of Linear Equations (7)
    • 16.2: Problem Solving with Systems (8)
    • 16.3: Matrix Solution of a System of Equations (8)
    • 16.4: Inverse Matrices (8)
    • 16.5: Modeling with Linear Programming (8)

  • Chapter 17: The Nature of Voting and Appointment
    • 17.1: Voting (8)
    • 17.2: Voting Dilemmas (8)
    • 17.3: Apportionment (8)
    • 17.4: Apportionment Paradoxes (5)

  • Chapter 18: The Nature of Calculus
    • 18.1: What is Calculus (5)
    • 18.2: Limits (5)
    • 18.3: Derivatives (8)
    • 18.4: Integrals (8)

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Group Quantity Questions
Chapter 1: The Nature of Problem Solving
1.1 8 006 009 013 021 027 038 043 048
1.2 8 008 012 018 026 027combo 053 056 058
1.3 8 008 012 026 028 032 036 043 058
Chapter 2: The Nature of Sets
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2.2 8 005combo 011combo 021combo 029combo 035combo 054 055 060
2.3 8 003combo 007combo 011combo 019combo 040 041 054 059
2.4 8 006 008 012 014 021 027 028 032
Chapter 3: The Nature of Logic
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3.2 8 010 015 026 031 039 045 047 048combo
3.3 8 007 008combo 012combo 016combo 026 042combo 054 056combo
3.4 8 007combo 011combo 017combo 023combo 029combo 037 042 059
3.5 8 001combo 004combo 012 018 029 031combo 057 059
3.6 8 004combo 010combo 018 020combo 026combo 032combo 038combo 054combo
Chapter 4: The Nature of Numeration Systems
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4.3 8 005 006 013 026 033 044 048 058
4.4 8 003combo 018 024 031combo 035combo 044 052 058
4.5 8 013 014 015 016combo 024combo 046 048 050
Chapter 5: The Nature of Numbers
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5.2 8 010 014 020 034 042 046 049 052
5.3 8 008 014 022 030 040 046 048 053
5.4 8 014 020 026 034 040 042 046 059
5.5 8 008 010 020 026 036 042 046 053
5.6 8 008 012 016 020 022 026combo 036combo 052combo
5.7 8 008 014 015combo 022 034 038 048combo 059
5.8 5 004 018 022 026 030
Chapter 6: The Nature of Algebra
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6.2 8 008 014 020 030 040 046 050 058
6.3 8 006 009 016 032 044 048combo 054 060
6.4 8 010 014 021 034 044 050 055 058
6.5 8 014 021 027 041 047 050 054 059
6.6 8 008 014 017combo 037 043 047 050 058
6.7 8 009 011combo 018 026 040 046 053 058
6.8 8 014 024 028 030 039 044 051 056
6.9 8 007 015 018 022 032 040 044 052
Chapter 7: The Nature of Geometry
7.1 8 012 016 033 037 039 050combo 056 058
7.2 8 009combo 015combo 020combo 032 036combo 054 056 057
7.3 8 013 018 034 038 040 041 045combo 057
7.4 8 010 018 027 032 039 041 047 053
7.5 8 006combo 020 026 032 038 047 052 060
7.6 8 017combo 025combo 035abc 036 038 039 040 041
Chapter 8: The Nature of Networks and Graph Theory
8.1 8 006combo 012combo 018combo 024combo 028combo 038 042 048
8.2 8 004combo 012combo 020 026combo 032combo 038combo 050 057bc
8.3 8 003 004 007 009 012 013 015 019
Chapter 9: The Nature of Measurement
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9.2 8 004 006 009combo 014combo 019 025 033 057
9.3 8 007combo 009combo 013combo 035combo 041combo 047combo 057 058
9.4 8 010combo 016combo 030combo 038combo 043combo 048combo 058 060
Chapter 10: The Nature of Growth
10.1 8 009 012 017 022 026 032 038 059
10.2 8 004combo 024 034 036 040 050 055 059
10.3 8 009 017 024 029 038 052 057 060
Chapter 11: The Nature of Financial Management
11.1 8 019 024 030 034 041 048 055 060
11.2 8 013 020 025 034 042 044 053 060
11.3 8 006combo 019combo 036 046 048 051 055 060
11.4 8 007 014 022 035 041 046 052 060
11.5 8 010 020 028 038 045 048 056 060
11.6 8 010 015 027 040 051 053 055 058
11.7 8 008combo 012combo 023 034 048 052 054 056
Chapter 12: The Nature of Counting
12.1 8 004 014 024 029 040 044 057 060
12.2 8 006 014 022 028 042 048 054 058
12.3 8 003 008 011 019 031 039 045 058
12.4 8 001 030combo 038 042 044 046 051 057
Chapter 13: The Nature of Probability
13.1 8 004combo 011 013combo 023combo 027combo 031combo 040combo 057
13.2 8 009 013 020combo 030combo 035 040 046 058
13.3 8 012combo 020 025 033combo 037combo 044 051 055
13.4 8 005combo 014combo 023combo 036 044 045combo 047 048
13.5 8 006 010 014 019combo 027combo 043 047 053
Chapter 14: The Nature of Statistics
14.1 8 005 009 012 020 026 047 052 053
14.2 8 019 028 032 033 037 041 045 058
14.3 8 007 020 026 030 047 051 054 060
14.4 8 007combo 024 029 031combo 040 047 050 056
14.5 5 004 005 008 011 013
Chapter 15: The Nature of Graphs and Functions
15.1 8 008 015 028 036 041 045combo 053 054
15.2 4 004combo 016 023 028
15.3 8 007 014 030 032 040 049 057 058
15.4 8 009combo 017 021 024combo 035 044 055 059
15.5 8 003combo 016 020 024 044 047 051 058
Chapter 16: The Nature of Mathematical Systems
16.1 7 014 024 029 042 044 052 060
16.2 8 004 009 013combo 022 032 041 050 058
16.3 8 004combo 014 015 024combo 032combo 044 057 060
16.4 8 009combo 017 024 036 042 054 055a 060
16.5 8 009 018 019 034 038 044 047 059
Chapter 17: The Nature of Voting and Appointment
17.1 8 016 026 028 035 039combo 045combo 054 055combo
17.2 8 011 019 025combo 030combo 038 050 055 060
17.3 8 009 016 020 027 031 034 041combo 059
17.4 5 006 010 014 020 026
Chapter 18: The Nature of Calculus
18.1 5 008 014 020 022combo 025combo
18.2 5 004 008 016 023 028
18.3 8 001 002 005 007 010combo 014 021 027
18.4 8 002 006 008 012 022 024 026 028
Total 700  
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