Titlebook: ;

前兆

David F. Tennant,Marlon R. TraceyHere is a collection of challenging problems that require multiple problem-solving strategies and a solid foundation in understanding and framing the problem. These can be used as grand challenges that advanced students work on outside of the classroom or as a “special bonus” if the class is doing well.

锡箔纸

MotivationConsider the following puzzles. Some of the solutions to these are discussed in detail in further chapters. For now, just ponder the puzzles themselves.

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Reasoning: Logic and Reasoning Backwardss noted, however, familiarity with the usual approach of trying to push forwards until we reach a stumbling block, often giving up, often prevents us from trying a more successful approach of starting from the end and working backwards!

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Simplify! is to simply restate or rephrase the problem in terms that are more understandable. In mathematics and computer science, you will use techniques described as ., and ., but we’re going to talk about them here under the general banner of “simplify.”

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