Ferrers.-AN ELEMENTARY TREATISE ON SPHERICAL HARMONICS, AND SUBJECTS CONNECTED WITH THEM. By the same author. Crown 8vo. 7s. 6d.

14s.

Forsyth.-A TREATISE ON DIFFERENTIAL EQUATIONS. BY ANDREW RUSSELL FORSYTH, M. A., F.R.S., Fellow and Assistant Tutor of Trinity College, Cambridge. 8vo. Frost.-Works by PERCIVAL FROST, M. A., D.Sc., formerly Fellow of St. John's College, Cambridge; Mathematical Lecturer at King's College.

AN ELEMENTARY TREATISE ON CURVE TRACING. By PERCIVAL FROST, M.A. Svo. 12

CAL

SOLID GEOMETRY. Third Edition. Demy 8vo. 16s. Greaves.-A TREATISE ON ELEMENTARY STATICS. By JOHN GREAVES, M.A., Fellow and Mathematical Lecturer of Christ's College, Cambridge. Crown 8vo. 6s. 6d. Greenhill.-DIFFERENTIAL AND INTEGRAL CULUS. With Applications. By A. G. GREENHILL, M. A., Professor of Mathematics to the Senior Class of Artillery Officers, Woolwich, and Examiner in Mathematics to the University of London. Crown 8vo. 7s. 6d. Hemming. AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools. By G. W. HEMMING, M.A., Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo. 9s. Ibbetson.-THE MATHEMATICAL THEORY OF PERFECTLY ELASTIC SOLIDS, with a short account of Viscous Fluids. An Elementary Treatise. By WILLIAM JOHN IBBETSON, B.A., F.R.A.S., Senior Scholar of Clare College, Cambridge. 8vo. [In the press.

Jellet (John H.).-A TREATISE ON THE THEORY OF FRICTION. By JOHN H. JELLET, B.D., Provost of Trinity College, Dublin; President of the Royal Irish Academy. 8vo. 8s. 6d.

Johnson.-Works by WILLIAM WOOLSEY JOHNSON, Professor of Mathematics at the U.S. Naval Academy, Annopolis, Maryland. INTEGRAL CALCULUS, an Elementary Treatise on the ; Founded on the Method of Rates or Fluxions. Demy 8vo. 8s. CURVE TRACING IN CARTESIAN CO-ORDINATES. Crown 8vo. 4s. 6d.

Kelland and Tait.-INTRODUCTION TO QUATER. NIONS, with numerous examples. By P. KELLAND, M.A., F.R.S., and P. G. TAIT, M.A., Professors in the Department of Mathematics in the University of Edinburgh. Second Edition. Crown 8vo. 7s. 6d.

Kempe.-HOW TO DRAW A STRAIGHT LINE: a Lecture
on Linkages. By A. B. KEMPE. With Illustrations. Crown 8vo.
Is. 6d. (Nature Series.)
Kennedy. THE MECHANICS OF MACHINERY. By A.
B. W. KENNEDY, M. Inst. C. E., Professor of Engineering and
Mechanical Technology in University College, London. With
Illustrations. Crown 8vo.
[Nearly ready.
Knox.-DIFFERENTIAL CALCULUS FOR BEGINNERS.

By ALEXANDER KNOX. Fcap. 8vo. 3s. 6d. Lupton.-ELEMENTARY CHEMICAL ARITHMETIC. With 1,100 Problems. By SYDNEY LUPTON, M.A., Assistant-Master in Harrow School. Globe 8vo. 5s.

Macfarlane.-PHYSICAL ARITHMETIC. By ALEXANDER MACFARLANE, M. A., D.Sc., F.R.S.E., Examiner in Mathematics to the University of Edinburgh. Crown 8vo. 7s. 6d. Merriman.-A TEXT BOOK OF THE METHOD OF LEAST SQUARES. By MANSFIELD MERRIMAN, Professor of Civil Engineering at Lehigh University, Member of the American Philosophical Society, American Associatior for the Advancement of Science, American Society of Civil Engineers' Club of Philadelphia, Deutschen Geometervereins, &c. Demy 8vo. 8s. 6d. Millar.-ELEMENTS OF DESCRIPTIVE GEOMETRY. By J. B. MILLAR, C.E., Assistant Lecturer in Engineering in Owens College, Manchester. Crown 8vo. Milne.-WEEKLY PROBLEM PAPERS. With Notes intended for the use of students preparing for Mathematical Scholarships, and for the Junior Members of the Universities who are reading for Mathematical Honours. By the Rev. JOHN J. MILNE, M.A., Second Master of Heversham Grammar School, Member of the London Mathematical Society, Member of the Association for the Improvement of Geometrical Teaching. Pott 8vo. SOLUTIONS TO WEEKLY PROBLEM PAPERS. same Author. Crown 8vo. IOS. 6d.

65.

4s. 6d.

By the

Muir. A TREATISE ON THE THEORY OF DETERMINANTS. With graduated sets of Examples. For use in Colleges and Schools. By THOS. MUIR, M.A., F.R.S.E., Mathematical Master in the High School of Glasgow. Crown 8vo. 7s. 6d. Parkinson.—AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools. By S. PARKINSON, D.D., F.R.S., Tutor and Prælector of St. John's College, Cambridge. With a Collection of Examples. Sixth Edition, revised. Crown 8vo. gs. 6d.

Pirie.-LESSONS ON RIGID DYNAMICS. By the Rev. G.
PIRIE, M.A., late Fellow and Tutor of Queen's College, Cam-
bridge; Professor of Mathematics in the University of Aberdeen.
Crown 8vo. 6s.
Puckle.-AN ELEMENTARY TREATISE ON CONIC SEC-
TIONS AND ALGEBRAIC GEOMETRY. With Numerous
Examples and Hints for their Solution; especially designed for the
Use of Beginners. By G. H. PUCKLE, M.A. Fifth Edition,
revised and enlarged. Crown 8vo. 7s. 6d.
Reuleaux.-THE KINEMATICS OF MACHINERY.

Out

lines of a Theory of Machines. By Professor F. REULEAUX. Translated and Edited by Professor A. B. W. KENNEDY, C.E. With 450 Illustrations. Medium 8vo. 21S. Rice and

Johnson.-DIFFERENTIAL CALCULUS, an Elementary Treatise on the; Founded on the Method of Rates or Fluxions. By JOHN MINOT RICE, Professor of Mathematics in the United States Navy, and WILLIAM WOOLSEY JOHNSON, Professor of Mathematics at the United States Naval Academy. Third Edition, Revised and Corrected. Demy 8vo. Abridged Edition, 8s.

16s.

Pre

Robinson.-TREATISE ON MARINE SURVEYING.
pared for the use of younger Naval Officers. With Questions for
Examinations and Exercises principally from the Papers of the
Royal Naval College. With the results. By Rev. JOHN L.
ROBINSON, Chaplain and Instructor in the Royal Naval College,
Greenwich. With Illustrations. Crown 8vo. 7s. 6d.
CONTENTS.-Symbols used in Charts and Surveying-The Construction and Use
of Scales-Laying off Angles-Fixing Positions by Angles Charts and Chart-
Drawing-Instruments and Observing Base Lines-Triangulation-Levelling-
Tides and Tidal Observations-Soundings-Chronometers-Meridian Distances
-Method of Plotting a Survey-Miscellaneous Exercises-Index.

Routh.-Works by EDWARD JOHN ROUTH, D.Sc., LL.D.,
F.R.S., Fellow of the University of London, Hon. Fellow of St.
Peter's College, Cambridge.

A TREATISE ON THE DYNAMICS OF THE SYSTEM OF RIGID BODIES. With numerous Examples. Fourth and

enlarged Edition. Two Vols. 8vo. Vol. I.-Elementary Parts. 145. Vol. II.-The Advanced Parts. 14S.

STABILITY OF A GIVEN STATE OF MOTION, PAKTICULARLY STEADY MOTION. Adams' Prize Essay for 1877. 8vo. 8s. 6d.

Smith (C.). Works by CHARLES SMITH, M.A., Fellow and
Tutor of Sidney Sussex College, Cambridge.

CONIC SECTIONS. Second Edition. Crown 8vo. 7s. 6d.
AN ELEMENTARY TREATISE ON SOLID GEOMETRY.
Second Edition. Crown 8vo. 9s. 6d. (See also under Algebra.)

Snowball.-THE ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY; with the Construction and Use of Tables of Logarithms. By J. C. SNOWBALL, M.A. New Edition. Crown 8vo. 7s. 6d. Tait and Steele.-A TREATISE ON DYNAMICS OF A PARTICLE. With numerous Examples. By Professor TAIT and Mr. STEELE. Fourth Edition, revised. Crown 8vo. 125. Thomson.-A TREATISE ON THE MOTION OF VORTEX RINGS. An Essay to which the Adams Prize was adjudged in 1882 in the University of Cambridge. By J. J. THOMSON, Fellow of Trinity College, Cambridge, and Professor of Experimental Physics in the University. With Diagrams. 8vo. 6s. Todhunter.-Works by I. TODHUNTER, M.A., F.R.S., D.Sc., late of St. John's College, Cambridge.

"Mr. Todhunter is chiefly known to students of Mathematics as the author of a series of admirable mathematical text-books, which possess the rare qualities of being clear in style and absolutely free from mistakes, typographical and other.". SATURDAY REVIEW.

MECHANICS FOR BEGINNERS.

With numerous Examples.

New Edition. 18mo. 4s. 6d.
KEY TO MECHANICS FOR BEGINNERS. Crown 8vo. 6s. 6d.
AN ELEMENTARY TREATISE ON THE THEORY OF
EQUATIONS. New Edition, revised. Crown 8vo. 7s. 6d.
PLANE CO-ORDINATE GEOMETRY, as applied to the Straight
Line and the Conic Sections. With numerous Examples. New
Edition, revised and enlarged. Crown 8vo. 7s. 6d.

A TREATISE ON THE DIFFERENTIAL CALCULUS. With
numerous Examples. New Edition. Crown 8vo.
IOS. 6d.
A TREATISE ON THE INTEGRAL CALCULUS AND ITS
APPLICATIONS. With numerous Examples. New Edition,
revised and enlarged. Crown 8vo.
EXAMPLES OF ANALYTICAL GEOMETRY OF THREE
DIMENSIONS. New Edition, revised. Crown 8vo.

IOS. 6d.

45. A HISTORY OF THE MATHEMATICAL THEORY OF PROBABILITY, from the time of Pascal to that of Laplace. 8vo. 18s.

RESEARCHES IN THE CALCULUS OF VARIATIONS, principally on the Theory of Discontinuous Solutions: an Essay to which the Adams' Prize was awarded in the University of Cambridge in 1871. 8vo. 6s.

A HISTORY OF THE MATHEMATICAL THEORIES OF
ATTRACTION, AND THE FIGURE OF THE EARTH,
from the time of Newton to that of Laplace. 2 vols. 8vo. 24s.
AN ELEMENTARY TREATISE ON LAPLACE'S, LAME'S,
AND BESSEL'S FUNCTIONS. Crown 8vo.
IOS. 6d.

(See also under Arithmetic and Mensuration, Algebra, and

Trigonometry.)

d

Wilson (J. M.).—SOLID GEOMETRY AND CONIC SECTIONS. With Appendices on Transversals and Harmonic Division. For the Use of Schools. By Rev. J. M. WILSON, M.A. Head Master of Clifton College. New Edition. Extra fcap. 8vo. 3s. 6d. Woolwich Mathematical Papers, for Admission into the Royal Military Academy, Woolwich, 1880-1884 inclusive. Crown 8vo. 3s. 6d. Wolstenholme.-MATHEMATICAL PROBLEMS, on Subjects included in the First and Second Divisions of the Schedule of subjects for the Cambridge Mathematical Tripos Examination. Devised ard arranged by JOSEPH WOLSTENHOLME, D.Sc., late Fellow of Christ's College, sometime Fellow of St. John's College, and Professor of Mathematics in the Royal Indian Engineering College. New Edition, greatly enlarged. 8vo. 185. EXAMPLES FOR PRACTICE IN THE USE OF SEVENFIGURE LOGARITHMS. By the same Author. [In preparation.

SCIENCE.

(1) Natural Philosophy, (2) Astronomy, (3) Chemistry, (4) Biology, (5) Medicine, (6) Anthropology, (7) Physical Geography and Geology, (8) Agriculture, (9) Political Economy, (10) Mental and Moral Philosophy.

NATURAL PHILOSOPHY.
Airy. Works by Sir G. B. AIRY, K.C.B., formerly Astronomer-
Royal.
UNDULATORY THEORY OF OPTICS. Designed for the Use
of Students in the University. New Edition. Crown 8vo. 6s. 6d.
ON SOUND AND ATMOSPHERIC VIBRATIONS. With
the Mathematical Elements of Music. Designed for the Use of
Students in the University. Second Edition, revised and enlarged.
Crown 8vo 95.

A TREATISE ON MAGNETISM. Designed for the Use of
Students in the University. Crown 8vo.
9s. 6d.
GRAVITATION: an Elementary Explanation of the Principal
Perturbations in the Solar System. Second Edition. Crown 8vo.

7s. 6d. Alexander (T.).—ELEMENTARY APPLIED MECHANICS. Being the simpler and more practical Cases of Stress and Strain wrought out individually from first principles by means of Elementary Mathematics. By T. Alexander, C.E., Professor of Civil Engineering in the Imperial College of Engineering, Tokei, Japan. Crown 8vo. Part I. 4s. 6d.