Wollaston, 284, 285.

Wonderful, science the natural foe of the, 224.

Woods, the relative distance of trees in, 68.

Wooer, inquirer compared to a, 45.

Words and sounds, 343.

Words, compared to type, 191.

Work, of liquid forces of attraction, 14; in electricity, 173; measure of, 119 et seq., 130, 223; relation of, with heat, 162, 245 et seq.; amount required to develop electricity, 131 et seq.; produces various physical changes, 139; substantial conception of, 183-184. See Energy.

World, the, what it consists of, 208.

World-particles, 203.

Wronsky, 172.

Wundt, on causality and the axioms of physics, 157-159; 359 footnote.

Xenophon, 49, footnote.

Young, Thomas, on energy, 173.

Zelter, 35.

Zeuner, 171.

ZoAlogy, comparison in, 239.

THE WORKS OF ERNST MACH.

THE SCIENCE OF MECHANICS.

A CRITICAL AND HISTORICAL EXPOSITION OF ITS PRINCIPLES.

By DR. ERNST MACH.

PROFESSOR OF THE HISTORY AND THEORY OF INDUCTIVE SCIENCE IN THE UNIVERSITY OF VIENNA.

Translated from the Second German Edition By THOMAS J. McCORMACK.

250 Cuts. 534 Pages. Half Morocco, Gilt Top, Marginal a.n.a.lyses.

Exhaustive Index. Price $2.50.

TABLE OF CONTENTS.

STATICS.

The Lever.

The Inclined Plane.

The Composition of Forces.

Virtual Velocities.

Statics in Their Application to Fluids.

Statics in Their Application to Gases.

DYNAMICS.

Galileo's Achievements.

Achievements of Huygens.

Achievements of Newton.

Principle of Reaction.

Criticism of the Principle of Reaction and of the Concept of Ma.s.s.

Newton's Views of Time, s.p.a.ce, and Motion.

Critique of the Newtonian Enunciations.

Retrospect of the Development of Dynamics.

THE EXTENSION OF THE PRINCIPLES OF MECHANICS.

Scope of the Newtonian Principles.

FormulA and Units of Mechanics.

Conservation of Momentum, Conservation of the Centre of Gravity, and Conservation of Areas.

Laws of Impact.

D'Alembert's Principle.

Principle of Vis Viva.

Principle of Least Constraint.

Principle of Least Action.

Hamilton's Principle.

Hydrostatic and Hydrodynamic Questions.

FORMAL DEVELOPMENT OF MECHANICS.

The Isoperimetrical Problems.

Theological, Animistic, and Mystical Points of View in Mechanics.

a.n.a.lytical Mechanics.

The Economy of Science.

THE RELATION OF MECHANICS TO OTHER DEPARTMENTS OF KNOWLEDGE.

Relations of Mechanics to Physics.

Relations of Mechanics to Physiology.

PRESS NOTICES.

"The appearance of a translation into English of this remarkable book should serve to revivify in this country [England] the somewhat stagnating treatment of its subject, and should call up the thoughts which puzzle us when we think of them, and that is not sufficiently often.... Professor Mach is a striking instance of the combination of great mathematical knowledge with experimental skill, as exemplified not only by the elegant ill.u.s.trations of mechanical principles which abound in this treatise, but also from his brilliant experiments on the photography of bullets.... A careful study of Professor Mach's work, and a treatment with more experimental ill.u.s.tration, on the lines laid down in the interesting diagrams of his Science of Mechanics, will do much to revivify theoretical mechanical science, as developed from the elements by rigorous logical treatment."--Prof. A. G. Greenhill, in Nature, London.

"Those who are curious to learn how the principles of mechanics have been evolved, from what source they take their origin, and how far they can be deemed of positive and permanent value, will find Dr. Mach's able treatise entrancingly interesting.... The book is a remarkable one in many respects, while the mixture of history with the latest scientific principles and absolute mathematical deductions makes it exceedingly attractive."--Mechanical World, Manchester and London, England.

"Mach's Mechanics is unique. It is not a text-book, but forms a useful supplement to the ordinary text-book. The latter is usually a skeleton outline, full of mathematical symbols and other abstractions. Mach's book has 'muscle and clothing,' and being written from the historical standpoint, introduces the leading contributors in succession, tells what they did and how they did it, and often what manner of men they were. Thus it is that the pages glow, as it were, with a certain humanism, quite delightful in a scientific book.... The book is handsomely printed, and deserves a warm reception from all interested in the progress of science."--The Physical Review, New York and London.

"Mr. T. J. McCormack, by his effective translation, where translation was no light task, of this masterly treatise upon the earliest and most fundamental of the sciences, has rendered no slight service to the English speaking student. The German and English languages are generally accounted second to none in their value as instruments for the expression of scientific thought; but the conversion bodily of an abstruse work from one into the other, so as to preserve all the meaning and spirit of the original and to set it easily and naturally into its new form, is a task of the greatest difficulty, and when performed so well as in the present instance, merits great commendation. Dr. Mach has created for his own works the severest possible standard of judgment. To expect no more from the books of such a master than from the elementary productions of an ordinary teacher in the science would be undue moderation. Our author has lifted what, to many of us, was at one time a course of seemingly unprofitable mental gymnastics, encompa.s.sed only at vast expenditure of intellectual effort, into a study possessing a deep philosophical value and instinct with life and interest. 'No profit grows where is no pleasure ta'en,' and the emanc.i.p.ated collegian will turn with pleasure from the narrow methods of the text-book to where the science is made to ill.u.s.trate, by a treatment at once broad and deep, the fundamental connexion between all the physical sciences, taken together."--The Mining Journal, London, England.

"As a history of mechanics, the work is admirable."--The Nation, New York.

"An excellent book, admirably ill.u.s.trated."--The Literary World, London, England.

"Sets forth the elements of its subject with a lucidity, clearness, and force unknown in the mathematical text-books ... is admirably fitted to serve students as an introduction on historical lines to the principles of mechanical science."--Canadian Mining and Mechanical Review, Ottawa, Can.

"A masterly book.... To any one who feels that he does not know as much as he ought to about physics, we can commend it most heartily as a scholarly and able treatise ... both interesting and profitable."--A. M. Wellington, in Engineering News, New York.

"The book as a whole is unique, and is a valuable addition to any library of science or philosophy.... Reproductions of quaint old portraits and vignettes give piquancy to the pages. The numerous marginal t.i.tles form a complete epitome of the work; and there is that invaluable adjunct, a good index. Altogether the publishers are to be congratulated upon producing a technical work that is thoroughly attractive in its make-up."--Prof. D. W. Hering, in Science.

"There is one other point upon which this volume should be commended, and that is the perfection of the translation. It is a common fault that books of the greatest interest and value in the original are oftenest butchered or made ridiculous by a clumsy translator. The present is a noteworthy exception."--Railway Age.

"The book is admirably printed and bound.... The presswork is unexcelled by any technical books that have come to our hands for some time, and the engravings and figures are all clearly and well executed."--Railroad Gazette.

TESTIMONIALS OF PROMINENT EDUCATORS.

"I am delighted with Professor Mach's Science of Mechanics."--M. E. Cooley, Professor of Mechanical Engineering, Ann Arbor, Mich.

"You have done a good service to science in publishing Mach's Science of Mechanics in English. I shall take every opportunity to recommend it to young students as a source of much interesting information and inspiration."--M. I. Pupin, Professor of Mechanics, Columbia College, New York.

"Mach's Science of Mechanics is an admirable ... book."--Prof. E. A. Fuertes, Director of the College of Civil Engineering of Cornell University, Ithaca, N. Y.

"I congratulate you upon producing the work in such good style and in so good a translation. I bought a copy of it a year ago, very shortly after you issued it. The book itself is deserving of the highest admiration; and you are ent.i.tled to the thanks of all English-speaking physicists for the publication of this translation."--D. W. Hering, Professor of Physics, University of the City of New York, New York.

"I have read Mach's Science of Mechanics with great pleasure. The book is exceedingly interesting."--W. F. Magie, Professor of Physics, Princeton University, Princeton, N. J.

"The Science of Mechanics by Mach, translated by T. J. McCormack, I regard as a most valuable work, not only for acquainting the student with the history of the development of Mechanics, but as serving to present to him most favorably the fundamental ideas of Mechanics and their rational connexion with the highest mathematical developments. It is a most profitable book to read along with the study of a text-book of Mechanics, and I shall take pleasure in recommending its perusal by my students."--S. W. Robinson, Professor of Mechanical Engineering, Ohio State University, Columbus, Ohio.

"I am delighted with Mach's 'Mechanics.' I will call the attention to it of students and instructors who have the Mechanics or Physics to study or teach."--J. E. Davies, University of Wisconsin, Madison, Wis.

"There can be but one opinion as to the value of Mach's work in this translation. No instructor in physics should be without a copy of it."--Henry Crew, Professor of Physics in the Northwestern University, Evanston, Ill.

POPULAR SCIENTIFIC LECTURES.

A PORTRAYAL OF THE SPIRIT AND METHODS OF SCIENCE.

By DR. ERNST MACH.

PROFESSOR OF THE HISTORY AND THEORY OF INDUCTIVE SCIENCE IN THE UNIVERSITY OF VIENNA.

Translated by THOMAS J. McCORMACK.

Third Edition, Revised Throughout and Greatly Enlarged.

Cloth, Gilt Top. Exhaustively Indexed. Pages, 415. Cuts, 59. Price, $1.50.

t.i.tLES OF THE LECTURES.

The Forms of Liquids.

The Fibres of Corti.

On the Causes of Harmony.

On the Velocity of Light.

Why Has Man Two Eyes?

On Symmetry.

On the Fundamental Concepts of Static Electricity.

On the Principle of the Conservation of Energy.

On the Economical Nature of Physical Inquiry.

On the Principle of Comparison in Physics.

On the Part Played by Accident in Invention and Discovery.