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...Osgood s advanced calculus by william f new york the macmillan company xvi pages almost twenty years ago in a presidential address delivered before american mathematical society professor outlined his conception of aims and methods that should underly teaching as between formalists reformists perry school he pointed out though former were right insisting on necessity rigorous training formal work order to acquire ideas still this drill must appear student having for its direct object power solve some real problems pure applied mathematics these always be kept eye idea was emphasized again with words which is most central quantitative character through it measures estimates things world our senses struction does not point merely at begin ning or end but all course close contact nature has done duty felt however too often those who had attempted interpret physical phenomena mathe matically started from incomplete vaguely stated hypotheses used so slipshod beneath respect undergraduate la...