The Art And Craft Of Problem Solving

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is a brilliant teacher (Full disclosure: we are good friends).

Zeitz then tackles the four main categories of mathematical problem: algebra, combinatorics, number theory, and geometry. Each chapter is not a systematic lesson, but rather enhances the reader’s mathematical knowledge and understanding.

The heart of a problem solving book is, of course, the problems.

Problem solving books of the same kind often present many problems, but do not explain at the solution.

Zeitz’s book focuses on the exploration process and so teaches the reader how to engage with the problem.His current mathematical interests are in modular arithmetic and cryptography.This content was uploaded by our users and we assume good faith they have the permission to share this book.In high school, Zeitz won the USA Mathematical Olympiad in 1974 and went on to compete on the first US team to attend the International Mathematical Olympiad in East Germany., Paul Zeitz establishes the distinction and introduces readers into the culture of problem solving.But no amount of studying any single book will guarantee you a medal at the IMO.To clarify: if you've managed to master the techniques in the book to such an extent that you can solve every problem in it within minutes, even after forgetting whatever solutions you saw and learned, then you're in very good shape and will likely do at least reasonably well at the IMO.One defect of Zeitz’s book is the lack of a solutions section.Though each chapter explains sample problems in great detail, the problem sets presented at the end of each subchapter do not have solutions.Recreational problems, as the name suggests, are fun puzzles that require creativity.Contest problems, from sources such as the AIME and IMO, are formal problems that can be quite difficult.

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