MATHEMATICS. Airy.-Works by G. B. AIRY, Astronomer Royal : : ELEMENTARY TREATISE ON PARTIAL DIFFERENTIAL EQUATIONS. Designed for the Use of Students in the UniverWith Diagrams. Crown 8vo. cloth. sities. 5s. 6d. It is hoped that the methods of solution here explained, and the instances exhibited, will be found sufficient for application to nearly all the important problems of Physical Science, which require for their complete investigation the aid of Partial Differential Equations. ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS. Crown 8vo. cloth. 6s. 6d. In order to spare astronomers and observers in natural philosophy the confusion and loss of time which are produced by referring to the ordinary treatises embracing both branches of probabilities (the first relating to chances which can be altered only by the changes of entire units or integral multiples of units in the fundamental conditions of the problem ; the other concerning those chances which have respect to insensible gradations in the value of the element measured) the present tract has been drawn up. It relates only to errors of observation, and to the rules, derivable from the consideration of these errors, for the combination of the results of observations. Airy, G. B.-continued. UNDULATORY THEORY OF OPTICS. Designed for the Use of Students in the University. New Edition. Crown 8vo. cloth. 6s. 6d. The undulatory theory of optics is presented to the reader as having the same claims to his attention as the theory of gravitation: namely, that it is certainly true, and that, by mathematical operations of general elegance, it leads to results of great interest. This theory explains with accuracy a vast variety of phenomena of the most complicated kind. The plan of this tract has been to include those phenomena only which admit of calculation, and the investigations are applied only to phenomena which actually have been observed. ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students of the University. Crown 8vo. 9s. This volume consists of sections, which again are divided into numbered articles, on the following topics: General recognition of the air as the medium which conveys sound; Properties of the air on which the formation and transmission of sound depend; Theory of undulations as applied to sound, &c.; Investigation of the motion of a wave of air through the atmosphere; Transmission of waves of soniferous vibrations through different gases, solids, and fluids; Experiments on the velocity of sound, &c.; On musical sounds, and the manner of producing them; On the elements of musical harmony and melody, and of simple musical composition; On instrumental music; On the human organs of speech and hearing. Bayma.-THE ELEMENTS OF MOLECULAR MECHA NICS. By JOSEPH BAYMA, S. J., Professor of Philosophy, Of the twelve Books into which the present treatise is divided, the first and second give the demonstration of the principles which bear directly on the constitution and the properties of matter. The next three books contain a series of theorems and of problems on the laws of motion of elementary substances. In the sixth and seventh, the mechanical constitution of mole The cules is investigated and determined: and by it the general properties of bodies are explained. The eighth book treats of luminiferous æther. The ninth explains some special properties of bodies. The tenth and eleventh contain a radical and lengthy investigation of chemical principles and relations, which may lead to practical results of high importance. twelfth and last book treats of molecular masses, distances, and powers. Beasley.-AN ELEMENTARY TREATISE ON PLANE TRIGONOMETRY. With Examples. By R. D. BEASLEY, M. A., Head Master of Grantham Grammar School. Second Edition, revised and enlarged. Crown 8vo. cloth. 35. 6d. This treatise is specially intended for use in schools. The choice of matter has been chiefly guided by the requirements of the three days' examination at Cambridge. About four hundred examples have been added to this edition, mainly collected from the examination papers of the last ten years. Boole.-Works by G. BOOLE, D.C.L., F.R.S., Professor of Mathematics in the Queen's University, Ireland. A TREATISE ON DIFFERENTIAL EQUATIONS. New and Revised Edition. Edited by I. TODHUNTER. Crown 8vo. cloth. 145. Professor Boole has endeavoured in this treatise to convey as complete an account of the present state of knowledge on the subject of Differential Equations, as was consistent with the idea of a work intended, primarily, for elementary instruction. The earlier sections of each chapter contain that kind of matter which has usually been thought suitable for the beginner, while the latter ones are devoted either to an account of recent discovery, or the discussion of such deeper questions of principle as are likely to present themselves to the reflective student in connexion with the methods and processes of his previous course. A TREATISE ON DIFFERENTIAL EQUATIONS. Supple Crown 8vo. cloth. This volume contains all that Professor Boole wrote for the purpose of enlarging his treatise on Differential Equations. Boole, G., D.C.L.-continued. THE CALCULUS OF FINITE DIFFERENCES. Crown 8vo. cloth. IOS. 6d. In this exposition of the Calculus of Finite Differences, particular attention has been paid to the connexion of its methods with those of the Differential Calculus-a connexion which in some instances involves far more than a merely formal analogy. The work is in some measure designed as a sequel to Professor Boole's Treatise on Differential Equations. CAMBRIDGE SENATE-HOUSE PROBLEMS AND RIDERS, WITH SOLUTIONS : : 1848-1851.-PROBLEMS. By FERRERS and JACKSON. 8vo. cloth. 15s. 6d. 1848-1851.-RIDERS. BY JAMESON. 8vo. cloth. 1854. PROBLEMS AND RIDERS. MACKENZIE. 8vo. cloth. IOS. 6d. 7s. 6d. By WALTON and 1857.- PROBLEMS AND RIDERS. By CAMPION and WALTON. 8vo. cloth. 8s. 6d. 1860.-PROBLEMS AND RIDERS. By WATSON and ROUTH. Crown 8vo. cloth. 7s. 6d. 1864.-PROBLEMS AND RIDERS. BY WALTON and WILKINSON. 8vo. cloth. IOS. 6d. These volumes will be found of great value to Teachers and Students, as indicating the style and range of mathematical study in the University of Cambridge. CAMBRIDGE COURSE OF ELEMENTARY NATURAL PHILOSOPHY, for the Degree of B. A. Originally compiled by J. C. SNOWBALL, M.A., late Fellow of St. John's College. Fifth Edition, revised and enlarged, and adapted for the MiddleClass Examinations by THOMAS LUND, B.D., Late Fellow and Lecturer of St. John's College, Editor of Wood's Algebra, &c. Crown 8vo. cloth. 5s. This work will be found adapted to the wants, not only of University Students, but also of many others who require a short course of Mechanics and Hydrostatics, and especially of the candidates at our Middle Class Examinations. At the end of each chapter a series of easy questions is added for the exercise of the student. CAMBRIDGE AND DUBLIN MATHEMATICAL JOURNAL. The Complete Work, in Nine Vols. 8vo. cloth, 77. 4s. Only a few copies remain on hand. Among Contributors to this work will be found Sir W. Thomson, Stokes, Adams, Boole, Sir W. R. Hamilton, De Morgan, Cayley, Sylvester, Fellett, and other distinguished mathematicians. Candler.-HELP TO ARITHMETIC. Designed for the use of Schools. By H. CANDLER, M.A. Mathematical Master of Uppingham School. Extra fcap. 8vo. 2s. 6d. This work is intended as a companion to any text book that may be in use. Cheyne.- AN ELEMENTARY TREATISE ON THE PLANETARY THEORY. With a Collection of Problems. By C. H. H. CHEYNE, B.A. Crown 8vo. cloth. 6s. 6d. In this volume, an attempt has been made to produce a treatise on the Planetary theory, which, being elementary in character, should be so far complete, as to contain all that is usually required by students in the University of Cambridge. THE EARTH'S MOTION OF ROTATION. CHEYNE, M. A, Crown 8vo. 3s. 6d. By C. H. H. The first part of this work consists of an application of the method of the variation of elements to the general problem of rotation. In the second part the general rotation formula are applied to the particular case of the earth. |