Mathematical Excursions 3rd Edition by Richard N Aufmann, Joanne Lockwood, Richard D Nation, Daniel K Clegg – Ebook PDF Instant Download/Delivery: 1111578494, 9781111578497
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Product details:
ISBN 10: 1111578494
ISBN 13: 9781111578497
Author: Richard N Aufmann, Joanne Lockwood, Richard D Nation, Daniel K Clegg
Mathematical Excursions 3rd Table of contents:
1. problem solving
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inductive and deductive reasoning
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problem solving with patterns
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problem-solving strategies
2. sets
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basic properties of sets
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complements, subsets, and venn diagrams
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set operations
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applications of sets
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infinite sets
3. logic
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logic statements and quantifiers
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truth tables, equivalent statements, and tautologies
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the conditional and the biconditional
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symbolic arguments
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arguments and euler diagrams
4. apportionment and voting
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introduction to apportionment
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introduction to voting
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weighted voting systems
5. the mathematics of graphs
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graphs and euler circuits
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weighted graphs
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planarity and euler’s formula
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graph coloring
6. numeration systems and number theory
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early numeration systems
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place-value systems
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different base systems
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arithmetic in different bases
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prime numbers
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topics from number theory
7. measurement and geometry
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basic concepts of euclidean geometry
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perimeter and area of plane figures
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properties of triangles
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volume and surface area
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right triangle trigonometry
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non-euclidean geometry
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fractals
8. mathematical systems
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modular arithmetic
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applications of modular arithmetic
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introduction to group theory
9. applications of equations
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first-degree equations and formulas
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rate, ratio, and proportion
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percent
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second-degree equations
10. applications of functions
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rectangular coordinates and functions
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properties of linear functions
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finding linear models
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quadratic functions
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exponential functions
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logarithmic functions
11. the mathematics of finance
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simple interest
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compound interest
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credit cards and consumer loans
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stocks, bonds, and mutual funds
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home ownership
12. combinatorics and probability
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the counting principle
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permutations and combinations
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probability and odds
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addition and complement rules
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conditional probability
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expectation
13. statistics
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measures of central tendency
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measures of dispersion
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measures of relative position
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normal distribution
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linear regression and correlation
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