This erudite study of the contributions of great mathematicians requires a specialized audience of scientists-to-be. Something can be gained here, provided a sharpened knowledge of mathematics or an intense interest in the subject are brought to bear. Otherwise, technical explanations of equations, theorems, and formulae, handled in a highly academic manner, are beyond the scope of the vast majority of high school juniors and seniors. Miss Muir traces the development of important mathematical concepts discovered by Pythagoras, Descartes, Newton, and Cardano, to name but a few. In an attempt to crysllize volumes of work, the author sets forth the major ideas of those mathematicians surveyed, with accompanying explanatory mathematics as well as with fleeting glances into their lives . A source book meant to further interest, rather than to inspire it.