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THE

JAPANESE FLORAL

CALENDAR

By ERNEST W. CLEMENT, M. A.

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Two well-known poems about the morning-glory, taken from The Japanese Floral Calendar run as follows:

"Each morn, when the dawn brightens into joy,
The morning-glory renews it's beautiful flowers,
And continues blooming long in this way,

To give us hope and peace that wither not."

"Oh, for the heart

Of the morning-glory!

Which, though its bloom is for a single hour,

Is the same as that of the fir-tree,

Which ives a thousand years."

Press Comments

The book gives an interesting glimpse of a side of Japanese life which is full of attraction, but which is likely to escape the Occidental.

Eagle, Brooklyn, N. Y.

The many illustrations of Japanese gardens, picnic scenes and flowers

are of exquisite beauty.

Onward, Toronto, Canada

Periodical Literature reprinted unabridged in a single weekly magazine at moderate cost

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Indispensable to every reader who wishes to keep informed upon public affairs and current discussion

Mathematical Essays and Recreations

By HERMANN SCHUBERT, Professor of Mathematics in Hamburg. From the German by T. J. MCCORMACK. Pp., 149. Cuts, 37. Cloth, 75c. net (3s. 6d. net).

"Professor Schubert's Essays make delightful reading. They deal, not with the dry side of mathematics, but with the philosophical side of that science on the one hand and its romantic side on the other. They are admirably lucid and simple and answer questions in which every intelligent man is interested."-Chicago Evening Post.

Geometric Exercises in Paper-Folding

By T. SUNDARA Row. Edited and revised by W. W. BEMAN and D. E. SMITH. Pages, x+148. Cloth, $1.00 net (4s. 6d. net).

A unique work. Highly recommended by the eminent European mathematician, Prof. Klein, of Gottingen, it should be in the hands, not only of every special teacher of mathematics, but of every independent student, and of everyone who gives instruction in the lower grades.

"Simply a revelation in the possibilities of paper-folding."-Teachers' Institute, New York. "The editors have performed a genuine service in bringing this work before our public, and in such neat and attractive form The twenty-six exquisite half-tone illustrations with which they have replaced the line drawings of the original, are a decided enrichment of the volume."-Science.

Essays on the Theory of Numbers

(1) Continuity and Irrational Numbers; (2) The Nature and Meaning of Numbers. By RICHARD DEDEKIND. From the German by W. W. BEMAN. Pp., 115. Cloth, 75c. net (3s. 6d. net).

These essays mark one of the distinct stages in the development of the theory of numbers. They give the foundation upon which the whole science of numbers may be established. The first can be read without any technical, philosophic or mathematical knowledge; the second requires more power of abstraction for its perusal, but power of a logical nature only.

"It is to be hoped that the translation will make the essays better known to English mathematicians; they are of the very first importance, and rank with the work of Weierstrass, Kronecker, and Cantor in the same field."-Nature.

The Science of Mechanics

A Critical and Historical Account of Its Development. By DR. ERNST MACH. Translated from the German by THOMAS J. MCCORMACK. Second enlarged edition. 259 cuts. Pp. xx+605. Cloth, gilt top, marginal analyses. Exhaustive index. Price, $2.00 net (9s. 6d. net).

This book is as much a work on philosophy as science. It takes up the subject of the development of mechanics as a specimen of scientific development in general and shows both the psychology and the logic of the onward movement of human thought. The mechanism of the growth of our ideas, the nature of the structure of science and of truth in general are here exhibited in the plainest light.

"A remarkable work."-Nature.

"Sets forth the elements of the subject with a clearness, lucidity and force unknown in the mathematical text-books."-Canadian Mining and Eng. Review.

Popular Scientific Lectures

A Portrayal of the Methods and Spirit of Science. By ERNST MACH. Translated from the German by T. J. MCCORMACK. Third edition. Pages, 415. Cuts, 59. Cloth gilt top, $1.50 net (7s. 6d).

Lectures on Mechanics, Sound, Light, Electricity, the Conservation of Energy, Philosophy and Education. The thoughts of the master-minds of science are here presented in popular form by one of its foremost living representatives. "Truly remarkable.

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Will please those who find the fairy tales of science more absorbing than fiction."-Pilot, Boston

A Brief History of Mathematics

By the late DR. KARL FINK. Translated by W. W. BEMAN and DAVID EUGENE Smith. With Biographical notes and full index. 2nd edition. Pp. 345. Cloth, $1.50 net (5s. 6d. net). Not a book of anecdotes, nor one of biography; but a clear and brief statement of the FACTS of mathematical history. An invaluable work for teachers of mathematics.

"This book is the best that has appeared in English. It should find a place in the library of every teacher of mathematics."-The Inland Educator.

On the Study and Difficulties of Mathematics

By AUGUSTUS DE MORGAN. With portrait, Index and Bibliographies of Modern works on Algebra, the Philosophy of Mathematics, Pangeometry, etc. 2nd edition. Pp. viii, 288. Cloth $1.25 net (4s. 6d. net).

"The point of view is unusual; we are confronted by a genius, who, like his kind, shows little heed for customary conventions. The 'shaking up' which this little work will give to the young teacher, the stimulus and implied criticism it can furnish to the more experienced, make its possession most desirable. This 'Mathematical Series' must be held one of the most notable achievements THE OPEN COURT."-Michigan Alumnus, April '99.

Lectures on Mathematics

BY JOSEPH LOUIS LAGRANGE. With portrait and biography of Lagrange. From the French by T. J. MCCORMACK. Pp., 172. Cloth, $1.00 net (4s. 6d. net). 2nd ed.

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The Foundations of Geometry

BY DAVID HILBERT, Ph. D., Professor of Mathematics in the University of Göttingen. With many new additions still unpublished in German. Translated by E. J. TOWNSEND, Ph. D., Associate Professor of Mathematics in the University of Illinois. Pp., viii+132. Cloth, $1.00 net (4s. 6d. net).

Defining the elements of geometry, points, straight lines, and planes, as abstract things, Professor Hilbert sets up in this book a simple and complete set of independent axioms defining the mutual relations of these elements in accordance with the principles of geometry; that is, in accordance with our intuitions of space. The purpose and importance of the work is his systematic discussion of the relations of these axioms to one another and the bearing of each upon the logical development of the Euclidean geometry. The most important propositions of geometry are also demonstrated and in such a manner as to show exactly what axioms underlie and make possible the demonstration. The work is therefore not only of mathematical importance as a contribution to the purifying of mathematics from philosophical speculation, but is of pedagogical importance in showing the simplest and most logical development of our analysis of space relations.

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Elementary Illustrations of the Differential and
Integral Calculus

By AUGUSTUS DE MORGAN. New reprint edition. With sub-headings and bibliography of English and foreign works on the Calculus. Price, cloth, $1.00 net (4s. 6d. net).

"It aims not at helping students to cram for examinations, but to give a scientific explanation of the rationale of these branches of mathematics. Like all that De Morgan wrote, it is accurate, clear and philosophic."-Literary World, London.

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