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BOURNE, M.. - OBTAINABLE FROM ALL BOOKSELLERS IN SYDNEY. THREE IMPORTANT BOOKS FOR SCHOOLS AND COLLEGES JUST PUBLISHED. Price 4s 6d. ARITHMETIC: Theoretical and Practical. Being a NEW ARITHMETIC BY J. S. MACKAY, LL.D., Author of "Mackay's Euclid." MESSRS. CHAMBERS have pleasure in announcing the Publication of this Important Work, upon which Dr. MACKAY has been engaged for some years. that all Teachers who know "Mackay's Euclid The Publishers are sure will welcome the appearance of this volume. EXTRACTS FROM PRESS NOTICES AND TEACHERS' OPINIONS REGARDING THE "I have carefully gone through 'Dr. Mackay's Arithmetic,' and like it well, the expository part of it being exceptionally well done." "It is far and away the best arithmetic I have seen.' WORK. "Includes all the rules used in our best school text-books; everything good, and calculated to make the pupil think. It stands every test in the matter of examples." "All schoolboys (to say nothing of schoolmasters) should be grateful for the intellectual interest you give to a subject which in itself seems merely practical and matter-of-fact." "I must congratulate you on the 'character' of the examples." "Having carefully examined 'Mackay's Arithmetic,' I may say that I consider it an excellent text-book. The explanations are clearly and skilfully given, and the sections on proportion and irrational numbers are exceptionally good." CHAMBERS'S ALGEBRA FOR SCHOOLS. BY WILLIAM THOMSON, M.A., B.Sc. Price 4s 6d. "Among the very best elementary text-books, the work will take a prominent place."-Journal of Education. In writing the present text-book, the aim has been to produce a work suitable for schools, in which the principles of the science should be clearly and accurately set forth, so that the student may not merely become expert in the use of symbols, but may be enabled to understand the rationale of every step in his work. Each chapter is divided into sections, and to most of these is appended a number of fully worked-out examples. These have been selected so as to illustrate the best methods of dealing with the different classes of problems that usually arise in elementary algebra, and great care has been taken to arrange the successive steps of each solution as clearly, concisely, and logically as possible. The exercises are numerous, more especially in the earlier chapters. They are intended to provide a sufficient variety both for a first and a second reading, and are carefully graduated and subdivided. In the case of some of the more difficult examples, such hints regarding the mode of solution are given as are likely to be helpful to beginners. The short section on Graphs will, it is hoped, be found both interesting and useful. THE ELEMENTS OF EUCLID. By J. S. MACKAY, LL.D. Price 3s. 6d. Separately:-Book I., 1s; II., 6d; III., 9d; XI. and XII., 6d. 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