This book by its copyright purports to be a second edition of a former text of the same title by other authors. It is this in the sense that it carries forward through the second high-school year a reconstructed form of the union mathematics of a first-year text. It allies itself with the former work also in that it places chief emphasis on plane geometry.<br><br>The older Second-Year Mathematics was an attempt to furnish a concrete contribution to the problem of introducing greater homogeneity and continuity into the secondary mathematical subjects from year to year. In this particular also this book resembles the earlier text.<br><br>In a very real sense, however, this volume is a new contribution, with its own plans and purposes. Its primal aim is to furnish a gradually progressive continuation of the form of reconstructed mathematics of the text First-Year Mathematics, by Mr. Breslich himself. It aims definitely to teach how to study as well as the content of a second unit of secondary mathematics. It accomplishes this through the nature and form of the material, through explicit exhibits and formulated tests of sound and unsound reasoning, through study-helps, directions for working, and systematic chapter summaries.<br><br>It seeks neither to eliminate nor to curtail inherent mathematical formalism, but to fill forms and technique with the meanings that flow from a well-balanced treatment of related material drawn from the kindred elementary subjects.