AMERICAN EDITION OF ALGEBRA FOR BEGINNERS. By H. S. HALL, M.A., and S. R. KNIGHT. 16m0. Cloth. 60 cents. REVISED BY FRANK L. SEVENOAK, A.M., M.D., Assistant Principal, and Professor of Mathematics and Natural Sciences, The Algebras by Messrs. Hall and Knight have been introduced in many Colleges and Schools, from among which may be mentioned: MATHEMATICAL TEXT-BOOKS SUITABLE FOR USE IN PREPARATORY SCHOOLS. SELECTED FROM THE LISTS OF MACMILLAN & CO., Publishers. ARITHMETIC FOR SCHOOLS. By J. B. LOCK, Author of "Trigonometry for Beginners,” “Elementary Trigonometry,” etc. By CHARLOTTE ANGAS SCOTT, D.SC., 16mo. Cloth. 75 cents. "Evidently the work of a thoroughly good teacher. The elementary truth, that arithmetic is common sense, is the principle which pervades the whole book, and no process, however simple, is deemed unworthy of clear explanation. Where it seems advantageous, a rule is given after the explanation.. Mr. Lock's admirable "Trigonometry' and the present work are, to our mind, models of what mathematical school books should be."- The Literary World. FOR MORE ADVANCED CLASSES. ARITHMETIC. By CHARLES SMITH, M.A., Author of "Elementary Algebra," "A Treatise on Algebra," AND CHARLES L. HARRINGTON, M.A., Head Master of Dr. J. Sach's School for Boys, New York. 16mo. Cloth. 90 cents. A thorough and comprehensive High School Arithmetic, containing many good examples and clear, well-arranged explanations. There are chapters on Stocks and Bonds, and on Exchange, which are of more than ordinary value, and there is also a useful collection of miscellaneous examples. MACMILLAN & CO., 66 FIFTH AVENUE, NEW YORK. OF THE POINT, RAY, AND CIRCLE. By WILLIAM B. SMITH, Ph.D., Professor of Mathematics in the Tulane University of New Orleans, La. Cloth. $1.10. "To the many of my fellow-teachers in America who have questioned me in regard to the Non-Euclidean Geometry, I would now wish to say publicly that Dr. Smith's conception of that profound advance in pure science is entirely sound. Dr. Smith has given us a book of which our country can be proud. I think it the duty of every teacher of geometry to examine it carefully.' From Prof. GEORGE BRUCE HALSTED, Ph. D. (Johns Hopkins), Professor of Mathematics, University of Texas. "I cannot see any cogent reason for not introducing the methods of Modern Geometry in text-books intended for first years of a college course. How useful and instructive these methods are, is clearly brought to view in Dr. Smith's admirable treatise. This treatise is in the right direction, and is one step in advancing a doctrine which is destined to reconstruct in great measure the whole edifice of Geometry. I shall make provision for it in the advanced class in this school next term." From Principal JOHN M. COLAW, A.M., Monterey, Va. MODERN PLANE GEOMETRY. Being the Proofs of the Theorems in the Syllabus of Modern Plane Geometry issued by the Association for the Improvement of Geometrical Teaching. By G. RICHARDSON, M.A., and A. S. RAMSAY, M.A. Cloth. $1.00. "Intended to be an Introduction to the subject of Modern Plane Geometry and to the more advanced books of Cremona and others. It has a twofold object: to serve, in the first place, as a sequel to Euclid . . .; and, secondly, as a systematic means of procedure from Euclidean Geometry to the higher descriptive Geometry of Conics and of imaginary points." MACMILLAN & CO., 66 FIFTH AVENUE, NEW YORK. 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 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 AVENUĚ, NEW YORK. |