The Joy of Finite Mathematics,
Edition 1
The Language and Art of Math
By Chris P. Tsokos and Rebecca D. Wooten
Publication Date:
05 Nov 2015
Description
The Joy of Finite Mathematics: The Language and Art of Math teaches students basic finite mathematics through a foundational understanding of the underlying symbolic language and its many dialects, including logic, set theory, combinatorics (counting), probability, statistics, geometry, algebra, and finance.
Through detailed explanations of the concepts, step-by-step procedures, and clearly defined formulae, readers learn to apply math to subjects ranging from reason (logic) to finance (personal budget), making this interactive and engaging book appropriate for non-science, undergraduate students in the liberal arts, social sciences, finance, economics, and other humanities areas.
The authors utilize important historical facts, pose interesting and relevant questions, and reference real-world events to challenge, inspire, and motivate students to learn the subject of mathematical thinking and its relevance.
The book is based on the authors’ experience teaching Liberal Arts Math and other courses to students of various backgrounds and majors, and is also appropriate for preparing students for Florida’s CLAST exam or similar core requirements.
Key Features
- Highlighted definitions, rules, methods, and procedures, and abundant tables, diagrams, and graphs, clearly illustrate important concepts and methods
- Provides end-of-chapter vocabulary and concept reviews, as well as robust review exercises and a practice test
- Contains information relevant to a wide range of topics, including symbolic language, contemporary math, liberal arts math, social sciences math, basic math for finance, math for humanities, probability, and the C.L.A.S.T. exam
- Optional advanced sections and challenging problems are included for use at the discretion of the instructor
- Online resources include PowerPoint Presentations for instructors and a useful student manual
About the author
By Chris P. Tsokos, Distinguished University Professor of Mathematics and Statistics at the University of South Florida and Rebecca D. Wooten, University of South Florida, Tampa, FL, USA
Table of Contents
Dedications
About the Authors
Preface
Very Special Acknowledgment
Several Options for a Semester Course in Finite Mathematics
Joy of Finite Mathematics: Special Features
Chapter 1: The Usefulness of Mathematics
Chapter 2: Logic
Chapter 3: Sets
Chapter 4: Counting Techniques
Chapter 5: Basic Probability
Chapter 6: Binomial Probability
Chapter 7: Normal Probability
Chapter 8: Basic Statistics
Chapter 9: Geometry
Chapter 10: Arithmetic and Algebra
Chapter 11: Basic Finance
Chapter 12: Game Theory
Appendix: Standard Normal
- A Summary of the Proposed Options
- Abstract
- 1.1 Introduction to Math
- 1.2 What Is Logic?
- 1.3 Usefulness of Sets
- 1.4 Counting Techniques
- 1.5 Probability
- 1.6 Bernoulli Trials
- 1.7 The Bell-Shaped Curve
- 1.8 Statistics
- 1.9 Geometry
- 1.10 Arithmetic and Algebra
- 1.11 Finance
- 1.12 Game Theory
- Critical Thinking and Basic Exercise
- Summary of Important Concepts
- Abstract
- 2.1 Logic
- 2.2 Statements and Their Truth Values
- Exercises
- 2.3 Truth Tables
- Exercises
- 2.4 Properties of Logic
- Exercises
- 2.5 Variations of the Conditional Statement
- Exercises
- 2.6 Quantified Statement
- Exercises
- 2.7 Negating Statements
- Exercises
- 2.8 Testing the Validity of an Argument
- Exercises
- 2.9 Applications of Logic
- Exercises
- Critical Thinking and Basic Exercise
- Summary of Important Concepts
- Review Test
- Abstract
- 3.1 Introduction to Set Theory
- 3.2 The Concept of a Set
- Problems
- 3.3 The Algebra of Sets
- Problems
- Critical Thinking and Basic Exercise
- Summary of Important Concepts
- Review Test
- Abstract
- 4.1 Introduction to Counting
- Problems
- 4.2 Multiplication Principle
- Problems
- 4.3 Permutations and Combinations
- Problems
- 4.4 Other Counting Techniques
- Problems
- Critical Thinking and Basic Exercise
- Summary of Important Concepts
- Review Test
- Abstract
- 5.1 Introduction to Probability
- 5.2 Definition of Probability
- Exercises
- 5.3 The Sample Space
- Exercises
- 5.4 Computing Probabilities of Events
- Exercises
- 5.5 Laws of Probability
- Exercises
- 5.6 Conditional Probability
- Exercises
- 5.7 Bayes' Rule
- Exercises
- 5.8 Combinatorial Techniques
- Exercises
- Critical Thinking and Basic Exercise
- Summary of Important Concepts
- Review Test
- Abstract
- 6.1 Introduction to Random Variables
- Problems
- Problems
- Problems
- Problems
- Problems
- Critical Thinking and Basic Exercise
- Summary of Important Concepts
- Review Test
- Abstract
- 7.1 Introducing Continuous Random Variables
- Problems
- 7.2 Normal Probability Distributions
- Problems
- 7.3 Standard Normal Probability Distributions
- Problems
- 7.4 Normal Approximation to the Binomial
- Problems
- Critical Thinking and Basic Exercise
- Summary of Important Concepts
- Review Test
- Abstract
- 8.1 Data Organization
- Exercises
- 8.2 Graphical Representative of Qualitative Information
- Exercises
- 8.3 Graphical Representation of Quantitative Information
- Exercises
- 8.4 Measuring Central Tendencies
- Exercises
- 8.5 Measuring Deviation from the Center
- Exercises
- Critical Thinking and Basic Exercise
- Summary of Important Concepts
- Review Test
- Abstract
- Fundamental Axioms
- Critical Thinking and Basic Exercise
- Summary of Important Concept
- Review Test
- Abstract
- 10.1 Introduction to the Real Number System
- Exercises
- 10.2 Basic Arithmetic
- Exercises
- 10.3 Pattern Recognition
- Exercises
- 10.4 Algebraic Expressions and Relationships
- Exercises
- 10.5 Equations: Equalities & Systems of Equations
- Exercises
- 10.6 Functions: Linear & Quadratic
- Exercises
- Critical Thinking and Basic Exercises
- Summary of Important Concepts
- Review Test
- Abstract
- 11.1 Introduction to Basic Financing
- Exercises
- 11.2 Savings, Sinking Funds, and Amortization
- Exercises
- 11.3 Comparison Shopping
- Exercises
- 11.4 Comparison Using Effective Rates
- Exercises
- 11.5 Personal Finance
- Exercises
- Critical Thinking and Basic Exercises
- Summary of Important Concepts
- Review Test
- Abstract
- 12.1 Introduction to Game Theory
- 12.2 The Matrix Game
- 12.3 Strictly Determined Game: The Saddle Point
- Problems
- 12.4 Games with Mixed Strategies
- Problems
- 12.5 Reducing Matrix Games to Systems of Equations
- Problems
- Critical Thinking and Basic Exercise
- Summary of Important Concepts
- Review Test
Book details
ISBN:
9780128029671
Page Count: 554
Retail Price
:
£104.00
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Audience
Undergraduate non-science students, foundational content
