Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking

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9781482227536: Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking
Vom Verlag:

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.

Vom Verlag:

Taking an alternative approach to related math texts for liberal arts students, this classroom-tested book emphasizes mathematical representations, strategies, and solution methods that address both engaging puzzles and important societal problems. Students learn effective ways to decipher, manipulate, and decompose problems; reframe paradoxes; control complexity; and team with others to find creative, if only approximate, solutions. The book helps students discover that mathematical thinking in the age of algorithms, optimization, and probabilistic inference extends beyond traditional algebra and calculus.

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