Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.
Here's a sample of other books in this Dover category
100 Great Problems of Elementary Mathematics by Heinrich Dörrie Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, etc. Features squaring the circle, pi, similar problems. No advanced math is required. Includes 100 problems with proofs.
Challenging Mathematical Problems with Elementary Solutions, Vol. 1 by A. M. Yaglom, I. M. Yaglom Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 1 contains 100 problems on probability theory and combinatorial analysis.
Challenging Mathematical Problems with Elementary Solutions, Vol. 2 by A. M. Yaglom, I. M. Yaglom Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 2 contains 74 problems on points and lines, topology, convex polygons, nondecimal counting and other topics. Includes solutions.
Challenging Problems in Algebra by Alfred S. Posamentier, Charles T. Salkind Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.
