The Art and Craft of Problem Solving. im interesting in purchasing either the art and craft of problem solving by paul zeitz or the art of problem solving volume 2 by Ruscyzk. im leaning more towards the second book as it comes with a solution manual.. Art of Problem Solving. Let x be a real number such that x + 1/x is an integer. Prove that x^n + 1/x^n is an integer, for all positive integers, n. This is actually a problem from Paul Zeitz' book entitled The Art and Craft of Problem Solving.. Edition 2 by Paul Zeitz. 539.497.721.2.. which maths books should i buy. Art and Craft of Mathematical Problem Solving this is a math problem which needs a proof. please help!. Paul Zeitz.Books: Art of Problem Solving Book 2: A must-have. Covers techniques from subjects like Algebra, Geometry, Combinatorics, Diophantine Equations, Number Theory,. this came from Paul Zeitz's book called The Art and Craft of Problem Solving. It's problem