Last edition Elsevier 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.
Last Edition
ISBN 13: 9780128029671
Imprint: Elsevier
Language: English
Authors: Chris P. Tsokos
Pub Date: 11/2015
Pages: 554
Illus: Illustrated
Weight: 1,450.000 grams
Size: h 216 X 276 mm
Product Type: Softcover
| List Price |
| grn 3978 |
| $ 134,84 |
| to order |
- • 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
- Chris P. Tsokos, University of South Florida, Tampa, FL, USA and Rebecca D. Wooten, University of South Florida, Tampa, FL, USA
- • Dedications • About the Authors • Preface
- • Very Special Acknowledgment • Several Options for a Semester Course in Finite Mathematics
- • A Summary of the Proposed Options • Joy of Finite Mathematics: Special Features
- • Chapter 1: The Usefulness of Mathematics
- • 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
- • Chapter 2: Logic
- • 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
- • Chapter 3: Sets
- • 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
- • Chapter 4: Counting Techniques
- • 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
- • Chapter 5: Basic Probability
- • 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
- • Chapter 6: Binomial Probability
- • Abstract • 6.1 Introduction to Random Variables • Problems • Problems • Problems • Problems • Problems • Critical Thinking and Basic Exercise • Summary of Important Concepts • Review Test
- • Chapter 7: Normal Probability
- • 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
- • Chapter 8: Basic Statistics
- • 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
- • Chapter 9: Geometry
- • Abstract • Fundamental Axioms • Critical Thinking and Basic Exercise • Summary of Important Concept • Review Test
- • Chapter 10: Arithmetic and Algebra
- • 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
- • Chapter 11: Basic Finance
- • 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
- • Chapter 12: Game Theory
- • 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 • Appendix: Standard Normal
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