TEXT-BOOK OF EUCLID'S ELEMENTS. Including Alternative Proofs, together with Additional Theorems and Exercises, classified and arranged "The chief peculiarity of Messrs. Hall and Stevens' edition is the extent and variety of the additions. After each important proposition a large number of exercises are given, and at the end of each book additional exercises, theorems, notes, etc., etc., well selected, often ingenious and interesting. There are a great number of minute details about the construction of this edition and its mechanical execution which we have no space to mention, but all showing the care, the patience, and the labor which have been bestowed upon it. On the whole, we think it the most usable edition of Euclid that has yet appeared." - The Nation. THE ELEMENTS OF SOLID GEOMETRY. By ROBERT BALDWIN HAYWARD, M.A., F.R.S.. Senior Mathematical Master in Harrow School; 16mo. Cloth. 75 cents. "A modification and extension of the first twenty-one propositions of the eleventh book of Euclid, developed out of a Syllabus of Solid Geometry submitted by the author to a Committee of the Association for the Improvement of Geometrica. Teaching, and reported upon by that Committee with a considerable degree of favor." MACMILLAN & CO., 66 FIFTH AVENUE, NEW YORK. OF SYNTHETIC SOLID GEOMETRY. By NATHAN F. DUPUIS, M.A., F.R.S.C., Professor of Pure Mathematics in the University of Queen's College, Kingston, Canada. 16mo. pp. 239. $1.60. FROM THE AUTHOR'S PREFACE. "I have been induced to present the work to the public, partly by receiving from a number of Educationists inquiries as to what work on Solid Geometry I would recommend as a sequel to my Plane Geometry, and partly from the high estimate that I have formed of the value of the study of synthetic solid geometry as a means of mental discipline. "In this work the subject is carried somewhat farther than is customary in those works in which the subject of solid geometry is appended to that of plane geometry, but the extensions thus made are fairly within the scope of an elementary work and are highly interesting and important in themselves as forming valuable aids to the right understanding of the more transcendental methods." Introductory to the Above. ELEMENTARY SYNTHETIC GEOMETRY OF THE Point, Line, and Circle in the Plane. 16mo. $1.10. "To this valuable work we previously directed special attention. The whole intention of the work has been to prepare the student to take up successfully the modern works on analytical geometry. It is safe to say that a student will learn more of the science from this book in one year than he can learn from the oldfashioned translations of a certain ancient Greek treatise in two years. Every mathematical master should study this book in order to learn the logical method of presenting the subject to beginners." Canada Educational Journal. MACMILLAN & CO., 66 FIFTH AVENUE, NEW YORK. Note. In filling orders for the American Edition of Smith's Elementary Algebra, the Briefer Edition will be sent wherever the Complete Edition is not distinctly ordered. A pamphlet containing the answers will be supplied free, but only upon the written order of the teacher for whose classes they are required. AMERICAN EDITION OF Charles Smith's Elementary Algebra. FOR THE USE OF PREPARATORY SCHOOLS, HIGH SCHOOLS, ACADEMIES, SEMINARIES, Etc. BY IRVING STRINGHAM, PH.D., PROFESSOR OF MATHEMATICS, AND DEAN OF THE COLLEGE FACULTIES BRIEFER EDITION (408 pages) $1.10 This edition is the same as Chapters 1.-XXVI. of the COMPLETE EDITION (584 pages) $1.20 "I have always liked Charles Smith's Algebra, and the new edition contains a good many improvements, and seems to me an excellent work. The use of the book in schools preparing for Harvard College would be satisfactory to our Mathematical Department. I have already privately recommended it to teachers who have consulted me." By CHARLES SMITH, M.A. Cloth. $1.90. No stronger commendation of this work is needed than the fact that it is the text used in a large number, if not in the majority, of the leading colleges of the country, among which may be mentioned Harvard University, Cornell University, University of Ohio, of Pennsylvania, of Michigan, of Wisconsin, of Kansas, of California, of Missouri, Stanford University, etc., etc. "Those acquainted with Mr. Smith's text-books on conic sections and solid geometry will form a high expectation of this work, and we do not think they will be disappointed. Its style is clear and neat, it gives alternative proofs of most of the fundamental theorems, and abounds in practical hints, among which we may notice those on the resolution of expressions into factors and the recognition of a series as a binominal expansion." — Oxford Review. י HIGHER ALGEBRA FOR SCHOOLS. By H. S. HALL, B.A., and S. R. KNIGHT, B.A. Cloth. $1.90. "The Elementary Algebra,' by the same authors, which has already reached a sixth edition, is a work of such exceptional merit that those acquainted with it will form high expectations of the sequel to it now issued. Nor will they be disappointed. Of the authors' Higher Algebra,' as of their Elementary Algebra,' we unhesitatingly assert that it is by far the best work of the kind with which we are acquainted. It supplies a want much felt by teachers." The Athenæum. MACMILLAN & CO., 66 FIFTH AVENUE, NEW YORK. BY H. S. HALL, B.A., and S. R. KNIGHT, B.A. Authors of "Algebra for Beginners," "Elementary Algebra for Schools," etc. Cloth. $1.10. "I consider the work as a remarkably clean and clear presentation of the principles of Plane Trigonometry. For the beginner, it is a book that will lead him step by step to grasp its subject matter in a most satisfactory manner."-E. MILLER, University of Kansas. "The book is an excellent one. The treatment of the fundamental relations of angles and their functions is clear and easy, the arrangement of the topics such as cannot but commend itself to the experienced teacher. It is, more than any other work on the subject that I just now recall, one which should, I think, give pleasure to the student."-JOHN J. SCHOBINGER, The Harvard School. WORKS BY REV. J. B. LOCK. TRIGONOMETRY FOR BEGINNERS. AS FAR AS THE SOLUTION OF TRIANGLES. 16mo. 75 cents. "A very concise and complete little treatise on this somewhat difficult subject for boys; not too childishly simple in its explanations; an incentive to thinking, not a substitute for it. The schoolboy is encouraged, not insulted. The illustrations are clear. Abundant examples are given at every stage, with answers at the end of the book, the general correctness of which we have taken pains to prove. The definitions are good, the arrangement of the work clear and easy, the book itself well printed.” - Journal of Education. ELEMENTARY TRIGONOMETRY. 6th edition. (In this edition the chapter on Logarithms has been carefully revised.) 16mo. $1.10. "The work contains a very large collection of good (and not too hard) examples. Mr. Lock is to be congratulated, when so many Trigonometries are in the field, on having produced so good a book; for he has not merely availed himself of the labors of his predecessors, but by the treatment of a well-worn subject has invested the study of it with interest.' Nature. " MACMILLAN & CO., 66 FIFTH AVENUE, NEW YORK. |