ART AND CRAFT OF PROBLEM SOLVING ZEITZ PDF

Rather, they are doing exercises. In The Art and Craft of Problem Solving, Paul Zeitz establishes the distinction and introduces readers into the culture of problem solving. Zeitz then tackles the four main categories of mathematical problem: algebra, combinatorics, number theory, and geometry. There is a chapter devoted to each category. The book concludes with a chapter on calculus.

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Rather, they are doing exercises. In The Art and Craft of Problem Solving, Paul Zeitz establishes the distinction and introduces readers into the culture of problem solving. Zeitz then tackles the four main categories of mathematical problem: algebra, combinatorics, number theory, and geometry.

There is a chapter devoted to each category. The book concludes with a chapter on calculus. The individual chapters teach important concepts of mathematics and provide sample problems that are then solved. The heart of a problem solving book is, of course, the problems.

The problems come in three types: classic, contest, and exploration. Recreational problems, as the name suggests, are fun puzzles that require creativity. Open-ended problems that invite exploration are a unique aspect of the book. They do not require an answer, and sometimes do not even have one. They are the most challenging problems in the book, but at the same time are the most rewarding.

Problem solving books of the same kind often present many problems, but do not explain how a problem is solved. Certainly, other books have sparse solutions for their presented problems, but they neither explain how to explore the problem nor how to arrive at the solution. The sample problems brought up in each chapter are thoroughly explored and investigated. Limitations and implications of the presented solutions are fully discussed and sometimes built on in later chapters.

Though each chapter explains sample problems in great detail, the problem sets presented at the end of each subchapter do not have solutions. Given the difficulty of some of the problems, a solutions section would be a welcome amenity. The manual provides full solutions to most problems, hints for others, but no solutions for contest problems readers are expected to consult the wealth of online sources for solutions to the contest problems.

Overall, The Art and Craft of Problem Solving is an excellent gateway to the culture of problem solving. It is challenging and rewarding. Jack Chen jackchen5 hotmail. He hopes to pursue mathematics in his post-secondary education. His current mathematical interests are in modular arithmetic and cryptography.

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Art and Craft of Mathematical Problem Solving

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The Art and Craft of Problem Solving : Paul Zeitz Download Free Art Book

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