Puzzles, Paradoxes, and Problem Solving

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A01=Douglas R. Shier
A01=Marilyn A. Reba
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Author_Marilyn A. Reba
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BFS Tree
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Category1=Non-Fiction
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Chinese Postman Problem
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Creative Mathematical Thinking
critical thinking skills development
cryptography fundamentals
Deductive Arguments
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discrete mathematics
Divisor Methods
Edge Probabilities
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Eulerian Circuit
game theory applications
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graph theory
Hamilton Method
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Language_English
Logical Expression
Math For Liberal Arts
mathematical logic
Mod 12
Modular Arithmetic
operations research methods
Optimal Mixed Strategy
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Principles Of Mathematical Thought
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Product details

  • ISBN 9781032918266
  • Weight: 1260g
  • Dimensions: 178 x 254mm
  • Publication Date: 14 Oct 2024
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
  • Language: English
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A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts

Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress from recreational problems to important contemporary applications develop the critical-thinking skills of non-science and non-technical majors.

The logical underpinnings of this textbook were developed and refined throughout many years of classroom feedback and in response to commentary from presentations at national conferences. The text’s five units focus on graphs, logic, probability, voting, and cryptography. The authors also cover related areas, such as operations research, game theory, number theory, combinatorics, statistics, and circuit design.

The text uses a core set of common representations, strategies, and algorithms to analyze diverse games, puzzles, and applications. This unified treatment logically connects the topics with a recurring set of solution approaches.

Requiring no mathematical prerequisites, this book helps students explore creative mathematical thinking and enhance their own critical-thinking skills. Students will acquire quantitative literacy and appreciation of mathematics through the text’s unified approach and wide range of interesting applications.

Marilyn A. Reba is a senior lecturer and Douglas R. Shier is a professor emeritus, both in the Department of Mathematical Sciences at Clemson University. The logical underpinnings of this textbook were developed and refined throughout many years of classroom feedback and in response to commentary from presentations at national conferences. Selected material from this book is currently being used in the Department of Mathematical Sciences’ liberal arts mathematics course and in a problem-solving course in the Honors College.

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