Mathematics all around / Thomas L. Pirnot.
Material type: TextPublisher: Boston : Addison Wesley, [2001]Copyright date: ©2001Description: xiv, 814, 10 pages : illustrations (some colour) ; 26 cmContent type:- text
- unmediated
- volume
- 0201308150
- 9780201308150
- 510 21
- QA39.2 .P57 2001
Item type | Current library | Call number | Copy number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|
Book | City Campus City Campus Main Collection | 510 PIR (Browse shelf(Opens below)) | 1 | Available | A211616B |
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Includes indexes.
1. Set Theory: -- Using Mathematics to Classify Objects -- Problem Solving -- Estimation -- The Language of Sets -- Comparing Sets -- Set Operations -- Survey Problems -- Of Further Interest: -- Infinite Sets -- 2. Logic: The Study of What's True or False or Somewhere in Between -- Inductive and Deductive Reasoning -- Statements, Connectives, and Quantifiers -- Truth Tables -- The Conditional and Biconditional -- Verifying Arguments -- Using Euler Diagrams to Verify Syllogisms -- Of Further Interest: Fuzzy Logic -- 3. Graph Theory: -- The Mathematics of Relationships -- Graphs, Puzzles and Map Coloring -- The Traveling Salesperson Problem -- Directed Graphs -- Of Further Interest: Scheduling Projects Using PERT -- 4. Numeration Systems: Does It Matter How We Name Numbers? -- The Evolution of Numeration Systems -- Place Value Systems -- Calculating in Other Bases -- Of Further Interest: Modular Systems -- 5. Number Theory and the Real Number System: -- Understanding the Numbers All Around Us -- Number Theory -- The Integers -- The Rational Numbers -- The Real Number System -- Exponents and Scientific Notation -- Of Further Interest: Sequences -- 6. Algebraic Models: -- How Do We Approximate Reality? -- Linear Equations -- Modeling With Linear Equations -- Modeling with Quadratic Equations -- Exponential Equations and Growth -- Proportions and Variation -- Of Further Interest: Dynamical Systems -- 7. Modeling with Systems of Linear Equations and Inequalities: -- What's the Best Way to Do It? -- Systems of Linear Equations -- Systems of Linear Inequalities -- Of Further Interest: Linear Programming -- 8. Geometry: -- Ancient and Modern Mathematics Embrace -- Lines, Angles, and Circles -- Polygons -- Perimeter and Area -- Volume and. Surface Area -- The Metric System and Dimensional Analysis -- Geometric Symmetry and Tessellations -- Of Further Interest: Fractals -- 9. Apportionment: -- How Do We Measure Fariness? -- Understanding Apportionment -- The Huntington-Hill Apportionment Principle -- Applications of the Apportionment Principle -- Other Paradoxes and Apportionment Methods -- Of Further Interest: Fair Division -- 10. Voting: -- Using Mathematics to Make Choices -- Voting Methods -- Defects in Voting Methods -- Weighted Voting Systems -- Of Further Interest: The Shapley-Shubik Index -- 11. Consumer Mathematics: -- The Mathematics of Everyday Life -- Percent -- Interest -- Consumer Loans -- Annuities -- Amortization -- Of Further Interest: The Annual Percentage Rate -- 12. Counting: -- Just How Many Are There? -- Introduction to Counting Methods -- The Fundamental Counting Principle -- Permutations and Combinations -- Of Further Interest: Counting and Gambling -- 13. Probability: -- What Are the Chances? -- The Basics of Probability Theory -- Complements and Unions of Events -- Conditional Probability and Intersections of Events -- Expected Value -- Of Further Interest: Binomial Experiments -- 14. Descriptive Statistics: -- What Does a Data Set Tell Us? -- Organizing and Visualizing Data -- Measures of Central Tendency -- Measures of Dispersion -- The Normal Distribution -- Of Further Interest: Linear Correlation.
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