at which Dr. Todhunter left it. The present volume covers the period from Saint-Venant to Lord Kelvin. It carries the analysis of individual memoirs completely to the year 1860, but after that point the editor has found it practicable to deal with the work of certain elasticians only. These are the two just named, with Boussinesq, Rankine, F. Neumann, Kirchhoff, and Clebsch. Although the part since 1860 is only the framework of what Prof. Pearson hoped to make it, the work is a monumental one. The number of the memoirs included in the thirteen hundred pages of the second volume by no means measures the work expended upon this part of the history. The study and analysis of many other memoirs were involved in the task. A systematic index, carefully prepared by Prof. Pearson, is appended.
We have received Part I (Kinematics) and Part II (Dynamics and Statics) of An Elementary Treatise on Theoretical Mechanics, by Prof. Alexander Ziwet, of the University of Michigan (Macmillan, $2.25 a volume). The work owes its existence mainly to the difficulty of finding a good modern text-book suited to the requirements of the American student. While it is intended first of all as an introduction to the science of theoretical mechanics, the author has aimed to make it serve as a preparation for the applications in engineering practice, and to bring out the utility of the purely mathematical training. To keep the whole work within reasonable bounds, the more advanced parts of the subject had to be strictly excluded. A third part (Kinetics) will complete the treatise.
The Book of the Fair, published by the Bancroft Company, Chicago and San Francisco, is intended to reproduce and preserve, by engraving and letterpress, all the characteristic features of the recent exposition at Chicago. The publishers claim that it is the only work attempting to reproduce the exposition in this way entire. "It confines itself," they say, "neither to art alone on the one side nor to dry statistics on the other, but aims to present hi attractive and accurate form the whole realm of art, industry, science, and learning, as here exhibited by the nations, so far as can be done within reasonable limits." The work will consist of one thousand pages of twelve by sixteen inches, will be issued in twenty-five parts of forty pages each, at the price of a dollar a part, and will contain more than a thousand illustrations, many of them full page.
In J. E. Mulholland's revision of Dr. Arnold's First and Second Latin Book and Practical Grammar the labors of the editor have been directed, first, to the removal of all errors; second, to a change of exceptional Latin expressions, which are declared out of place in an elementary work; third, to simplicity of design, so that subjects should not be prematurely thrust upon the attention of the pupils; and, fourth, to a more consistent arrangement of the parts of the Second Book. In the revision of Arnold's Practical Introduction to Latin Prose Composition, by the same editor, the matter on the Sequence of Tenses, hitherto scattered throughout the work, has, by means of references, been unified, and that on Conditional Propositions has, by the removal of much verbiage and some errors, been arranged so as to be comprehensible to the ordinary student. Also, whereas in the old book reference was merely made to certain works on Synonyms, in this edition, the works quoted not being commonly in the hands of pupils, the proper word is given. (Both of these books are published by the American Book Company. Price, $1 each.)
The Inductive Greek Primer of Drs. W. R. Harper and C F. Castle is designed for a beginner's Greek book and to meet the wants of younger pupils as well as of those for whom the Method is adapted. It differs from the Method in that the lessons are shorter; the notes are more copious and elementary; the exercises are simple; the pupil's knowledge of Latin grammar is drawn upon to illustrate and facilitate his knowledge of Greek grammar; the pupil is taught to read Greek in the order of the original; the first occurrence of words is specially indicated in both the text and the vocabulary. The volume articulates with the Greek Prose Composition of the same authors. (American Book Company. Price, $1.25.)
In a book entitled The Gospel of Paul, the author, Charles Carroll Everett, Professor of Philosophy in Harvard Divinity School, presents an interpretation of Paul's doctrine of the atonement which he believes to be new; not a theory of his own "of a possi-