The Art and Craft of Problem Solving (3rd Edition)

Specifications

Book Description

Paul Zeitz's The Art and Craft of Problem Solving, 3rd Edition provides a problem-solving method to mathematics, as opposed to the more traditional exercises approach. This makes the book appealing to a wide range of learners, from self-directed high school students to college majors. The Art and Craft of Problem Solving, Third Edition is designed to help students acquire exceptionally strong problem-solving skills. It does this by pushing mathematics students to DO math rather than just study it. All of Zeitz's pupils benefit from his extensive expertise as a coach for the worldwide Math Olympiad, which allows them to develop a deeper understanding of mathematics as well as the capacity to investigate and find solutions to difficult issues.

Review

“All things considered, The Art and Craft of Problem Solving, Third Edition is an outstanding introduction to the mindset of problem solving. It is extremely difficult, but also incredibly rewarding. The book written by Paul casts a fresh light on mathematics and captivates pupils with its marvelous ideas and challenging puzzles. (Report of the 2016 Mathematical Association of America)

The Statement on the Back Cover

You've got a lot of issues to deal with. That is a positive development.

Across the United States, an increasing number of people are participating in mathematical competitions, joining mathematical organizations, and getting themselves prepared to compete in the International Mathematical Olympiad. Why? To put it simply, finding solutions to mathematical problems is quite exciting.

This newest new 3rd edition from an author who describes themselves as a “missionary for the problem solving culture” will introduce you to the elegance and benefits that come with solving mathematical problems. It does not need you to have a strong background in mathematics; rather, it equips you with tactics and strategies for conducting an in-depth analysis of any mathematical topic of your choosing. You will get the knowledge to:

• start doing anything and get your bearings in any problem.
• Make use of the insights you've obtained by solving folkloric issues (like Conway's Checker problem, for example).
• Utilize approaches that have already proven to be effective, such as “The Extreme Principle,” “The Pigeonhole Principle,” and many more.
• Draw pictures and experiment with different forms of creativity to get a fresh perspective on the issue at hand.
• handle certain challenging problems in areas such as combinatorics, calculus, geometry, algebra, and number theory.
• This PDF guide can help you become an expert problem-solver, whether you're preparing for the Mathematical Olympiad or you just love working through mathematical puzzles on your own.