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37 reviewsISBN 10: 130510417X
ISBN 13: 9781305104174
Author: David B Johnson, Thomas A Mowry
MATHEMATICS: A PRACTICAL ODYSSEY, 8th Edition demonstrates mathematics' usefulness and relevance to students' daily lives through topics such as calculating interest and understanding voting systems. Well known for its clear writing and unique variety of topics, the text emphasizes problem-solving skills, practical applications, and the history of mathematics, and unveils the relevance of mathematics and its human aspect to students. To offer flexibility in content, the book contains more information than might be covered in a one-term course. In addition, the chapters are independent of each other, further enabling instructors to select the ideal topics for their courses.
1.1 Deductive versus Inductive Reasoning
1.2 Symbolic Logic
1.3 Truth Tables
1.4 More on Conditionals
1.5 Analyzing Arguments
1.6 Deductive Proof of Validity
2.1 Sets and Set Operations
2.2 Applications of Venn Diagrams
2.3 Introduction to Combinatorics
2.4 Permutations and Combinations
2.5 Infinite Sets
3.1 History of Probability
3.2 Basic Terms of Probability
3.3 Basic Rules of Probability
3.4 Combinatorics and Probability
3.5 Expected Value
3.6 Conditional Probability
3.7 Independence, Medical Tests, and Genetics
4.1 Population, Sample, and Data
4.2 Measures of Central Tendency
4.3 Measures of Dispersion
4.4 The Normal Distribution
4.5 Polls and Margin of Error
4.6 Linear Regression
5.1 Simple Interest
5.2 Compound Interest
5.3 Annuities
5.4 Amortized Loans
5.5 Annual Percentage Rate with a TI's TVM Application
5.6 Payout Annuities
6.1 Voting Systems
6.2 Methods of Apportionment
6.3 Flaws of Apportionment
7.1 Place Systems
7.2 Addition and Subtraction in Different Bases
7.3 Multiplication and Division in Different Bases
7.4 Prime Numbers and Perfect Numbers
7.5 Fibonacci Numbers and the Golden Ratio
8.1 Perimeter and Area
8.2 Volume and Surface Area
8.3 Egyptian Geometry
8.4 The Greeks
8.5 Right Triangle Trigonometry
8.6 Linear Perspective
8.7 Conic Sections and Analytic Geometry
8.8 Non-Euclidean Geometry
8.9 Fractal Geometry
8.10 The Perimeter and Area of a Fractal
9.1 A Walk through Konigsberg
9.2 Graphs and Euler Trails
9.3 Hamilton Circuits
9.4 Networks
9.5 Scheduling
10.0A Review of Exponentials and Logarithms
10.0B Review of Properties of Logarithms
10.1 Exponential Growth
10.2 Exponential Decay
10.3 Logarithmic Scales
11.0A Review of Matrices
11.0B Review of Systems of Linear Equations
11.1 Markov Chains and Tree Diagrams
11.2 Markov Chains and Matrices
11.3 Long-Range Predictions with Markov Chains
11.4 Solving Larger Systems of Equations
11.5 More on Markov Chains
12.0 Review of Linear Inequalities
12.1 The Geometry of Linear Programming
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Tags: David B Johnson, Thomas A Mowry, Odyssey, Mathematics