The leading features are:
• A full treatment of Graphs occupying more than 50 pages.
• A new set of Easy Examples on Substitution in Chapter I.
• The greater part of Chapter VIII, on Simple Equations, has been re-written so as to bring the use of the fundamental axioms into greater prominence, and to urge the importance of verifying solutions.
• Chapter IX, on Symbolical Expression, has been enlarged. In particular, the section on Formulae has been illustrated by a new set of Examples.
• A section on Square Root by inspection has been inserted in Chapter XVI.
• In Chapter XVII, on Factors, a section on factorization of trinomials, by completing the square, has been introduced. Also a large number of easy miscellaneous examples take the place of the Exercise XVII, 1, of earlier editions.
• Considerable additions to the chapters on Quadratic Equations. In particular, a set of examples involving applications to Geometry will be found at the end of Chapter XXVII.
• The chapter on Logarithms has been re-written so as to introduce and explain the use of Four-Figure Tables. The Tables of Logarithms and Antilogarithms have been taken, with slight modifications, from those published by the Board of Education, South Kensington.
• An easy first course has been mapped out enabling teachers to postpone, if they wish, the harder cases of ‘Long’ Multiplication and Division, and the rules dependent on these processes.