A look at solving problems in three areas of classical elementary
mathematics: equations and systems of equations of various kinds,
algebraic inequalities, and elementary number theory, in particular
divisibility and diophantine equations. In each topic, brief theoretical
discussions are followed by carefully worked out examples of increasing
difficulty, and by exercises which range from routine to rather more
challenging problems. While it emphasizes some methods that are not
usually covered in beginning university courses, the book nevertheless
teaches techniques and skills which are useful beyond the specific
topics covered here. With approximately 330 examples and 760 exercises.