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EDUCATIONAL BOOKS.

Todhunter (I.)-continued. repeatedly brought forward, with the view of securing the attention of the student to the notions which form the true foundation of the Calculus itself, as well as of its most valuable applications. Every attempt has been made to explain those difficulties which usually perplex beginners, especially with reference to the limits of integrations. A new method has been adopted in regard to the transformation of multiple integrals. The last chapter deals with the Calculus of Variations. A large collection of exercises, selected from College Examination Papers, has been appended to the several chapters.

EXAMPLES OF ANALYTICAL GEOMETRY OF THREE

DIMENSIONS. Second Edition, revised. Crown 8vo. cloth 4s.

A TREATISE ON ANALYTICAL STATICS. With numerous

Examples. Third Edition, revised and enlarged. Crown Svo. cloth.

Ios. 6d.

In this work on statics (treating of the laws of the equilibrium of bodies) will be found all the propositions which usually appear in treatises on Theoretical Statics. To the different chapters examples are appended, which have been principally selected from University Examination Papers. In the Third Edition many additions have been made, in order to illustrate the application of the principles of the subject to the solution of problems.

Wilson (J. M.)— ELEMENTARY GEOMETRY. Angles,

Parallels, Triangles, Equivalent Figures, the Circle, and Proportion. By J. M. Wilson, M.A., Fellow of St. John's College, Cambridge, and Mathematical Master in Rugby School. Second

Edition. Extra fcap. Svo. 35. 6d. The distinctive features of this work are intended to be the following: The classification of Theorems according to their subjects; the separation of Theorems and Problems; the use of hypothetical constructions; the adoption of independent proofs where they are possible and simple; the MATHEMATICS.

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Wilson (J. M.)--continued. introduction of the terms locus, projection, &c. ; the importance given to the notion of direction as the property of a straight line ; the intermixing of exercises, classified according to the methods adopted for their solution ; the diminution of the number of Theorems; the compression of proofs, especially in the later parts of the book ; the tacit, instead of the explicit, reference to axioms; and the treatment of parallels. The methods employed have the great merit of suggesting a ready application to the solution of fresh problems.”—GUARDIAN.

ELEMENTARY GEOMETRY. PART II. (separately). The

Circle and Proportion. By J. M. Wilson, M.A. Extra fcap. 8vo.

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Wilson (W. P.) — A TREATISE ON DYNAMICS.

By W. P. Wilson, M.A., Fellow of St. John's College, Cambridge, and Professor of Mathematics in Queen's College, Belfast. 8vo.

9s. 6d.

Wolstenholme.- À BOOK OF MATHEMATICAL

PROBLEMS, on Subjects included in the Cambridge Course. By JOSEPH WOLSTENHOLME, Fellow of Christ's College, sometime Fellow of St. John's College, and lately Lecturer in Mathe

matics at Christ's College. Crown 8vo. cloth. 8s. 6d. CONTENTS:- Geometry (Euclid)-AlgebraPlane Trigonometry— Geometrical Conic SectionsAnalytical Conic Sections— Theory of Equations-Differential Calculus-Integral CalculusSolid Geometry-Statics - Elementary DynamicsNewton-Dynamics of a Point-Dynamics of a Rigid Body-HydrostaticsGeometrical OpticsSpherical Trigonometry and Plane Astronomy. "Judicious, symmetrical, and well arranged.GUARDIAN.

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EDUCATIONAL BOOKS.

SCIENCE.

ELEMENTARY CLASS-BOOKS.

The importance of Science as an element of sound education is now generally acknowledged ; and accordingly it is obtaining a prominent place in the ordinary course of school instruction. It is the intention of the Publishers to produce a complete series of Scientific Manuals, affording full and accurate elementary information, conveyed in clear and lucid English. The authors are well known as among the foremost men of their several departments; and their names form a ready guarantee for the high character of the books. Subjoined is a list of those Manuals that have already appeared, with a short account of each. Others are in active preparation; and the whole will constitute a standard series specially adapted to the requirements of beginners, whether for private study or for school instruction. ASTRONOMY, by the Astronomer Royal.

POPULAR ASTRONOMY. With Illustrations. By G. B.
AIRY, Astronomer Royal. Sixth and cheaper Edition. 18mo.

cloth. 45. 6d. This work consists of six lectures, which are intended " to explain to intelligent persons the principles on which the instruments of an Observatory are constructed (omitting all details, so far as they are merely sub

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Elementary Class-Books-continued. sidiary), and the principles on which the observations made with these instruments are treated for deduction of the distances and weights of the bodies of the Solar System, and of a few stars, omitting all minutice of formule, and all troublesome details of calculation.The speciality of this volume is the direct reference of every step to the Observatory, and the full description of the methods and instruments of observation.

ASTRONOMY.

MR. LOCKYER'S ELEMENTARY LESSONS IN ASTRO-
NOMY. With Coloured Diagram of the Spectra of the Sun,
Stars, and Nebulæ, and numerous Illustrations. By J. NORMAN

LOCKYER, F.R.S. Seventh Thousand. 18mo. 5s. 6d. The author has here aimed to give a connected view of the whole subject, and to supply facts, and ideas founded on the facts, to serve as a basis for subsequent study and discussion. The chapters treat of the Stars and Nebulie; the Sun; the Solar System; Apparent Movements of the Heavenly Bodies; the Measurement of Time; Light; the Telescope and Spectroscope; Apparent Places of the Heavenly Bodies; the Real Distances and Dimen. sions; Universal Gravitation. The most recent astronomical discoveries are incorporated. Mr. Lockyer's work supplements that of the Astronomer Royal mentioned in the previous article. The book is full, clear, sound, and worthy of attention, not only as a popular exposition, but as a scientific

Index.' - ATHENÆUM. The most fascinating of elementary books on the Sciences.”—NONCONFORMIST.

QUESTIONS ON LOCKYER'S ELEMENTARY LESSONS

IN ASTRONOMY. For the use of Schools. By John FORBES-
ROBERTSON. 18mo. cloth limp.

Is. 6d.

PHYSIOLOGY.

PROFESSOR HUXLEY'S LESSONS IN ELEMENTARY
PHYSIOLOGY. With numerous Illustrations. By T. H.
HUXLEY, F.R.S. Professor of Natural History in the Royal School
of Mines. Seventeenth Thousand. 18mo. cloth.

45. 6d.

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EDUCATIONAL BOOKS.

Elementary Class-Books-continued.

This book describes and explains, in a series of graduated lessons, the principles of Human Physiology ; or the Structure and Functions of the Human Body. The first lesson supplies a general view of the subject. This is followed by sections on the Vascular or Venous System, and the Circulation ; the Blood and the Lymph; Respiration ; Sources of Loss and of Gain to the Blood; the Function of Alimentation ; Motion and Locomotion ; Sensations and Sensory Organs; the Organ of Sight; the Coalescence of Sensations with one another and with other States of Con. sciousness; the Nervous System ani Innervation; Histology, or the Minute Structure of the Tissues. A Table of Anatomical and Physiological Constants is appended. The lessons are fully illustrated by numerous engravings. The manual is primarily intended to serve as a text-book for teachers and learners in boys' and girls' schools. gold throughout.”—GUARDIAN. Unquestionably the clearest and most complete elementary treatise on this subject that we possess in any language.—WESTMINSTER REVIEW.

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Is, 6d.

QUESTIONS ON HUXLEY'S PHYSIOLOGY FOR SCHOOLS.

By T. ALCOCK, M.D. 18mo. These Questions were drawn up as aids to the instruction of a class oj young people in Physiology.

BOTANY.

PROFESSOR OLIVER'S LESSONS IN ELEMENTARY
BOTANY. With nearly Two Hundred Illustrations. Eleventh

Thousand. 18mo. cloth. 45. 6d. This book is designed to teach the Elements of Botany on Professor Henslow's plan of selected Types and by the use of Schedules. The earlier chapters, embracing the elements of Structural and Physiological Botany, introduce us to the methodical study of the Ordinal Types. The concluding chapters are entitled, How to dry Plantsand How to describe Plants.A valuable Glossary is appended to the volume. In the preparation of this work free use has been made of the manuscript materials of the late Professor Henslow.

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