It is our conviction, based on considerable experience teaching the subject, that the art of formulating and solving problems using dynamic programming can be learned only through active participation by the student. No amount of passive listening to lectures or of reading text material prepares the student to formulate and solve novel problems. The student must first discover, by experience, that proper formulation is not quite as trivial as it appears when reading a textbook solution. Then, by considerable practice with solving problems on his own, he will acquire the feel for the subject that ultimately renders proper formulation easy and natural. For this reason, this book contains a large number of instructional problems, carefully chosen to allow the student to acquire the art that we seek to convey. The student must do these problems on his own.

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