ALGEBRA.

DICKSON.-COLLEGE ALGEBRA.

By LEONARD Eugene Dickson, Ph.D., Assistant Professor of Mathematics in the University of Chicago. Second Edition. Small 8vo, vii+214 pages, illustrated. 7s. net.

DICKSON. ANSWERS TO COLLEGE ALGEBRA.

Is. 3d. net.

DICKSON. ELEMENTARY THEORY OF EQUATIONS.

By LEONARD EUGENE DICKSON, Ph.D., Prof. of Mathematics in the University of Chicago. 8vo, v +184 pages, 26 figures. 8s. 6d. net.

CONTENTS.-The Graph of an Equation. Complex Numbers. Algebraic and Trigonometric Solution of Cubic Equations. Algebraic Solution of Quartic Equations. The Fundamental Theorem of Algebra. Elemen. tary Theorems on the Roots on an Equation. Symmetric Functions. Reciprocal Equations. Construction of Regular Polygons. Trisection of an Angle. Isolation of the Real Roots of an Equation with Real Coefficients. Solution of Numerical Equations. Determinants. Systems of Linear Equations. Resultants and Discrimin Miscellaneous Exercises. Answers. Index.

ants.

DICKSON. INTRODUCTION TO THE THEORY OF ALGEBRAIC

EQUATIONS.

By LEONARD EUGENE DICKSON, Ph. D., Assistant Professor of Mathematics in the University of Chicago. Small 8vo, iv + 104 pages. 6s. net.

MANNING.-IRRATIONAL NUMBERS AND THEIR REPRESENTATION BY SEQUENCES AND SERIES.

By HENRY PARKER MANNING, Ph.D., Assistant Professor of Pure Mathematics in Brown University. 12mo, vi+ 123 pages. 6s. net.

CONTENTS.-Irrational Numbers. Sequences. Series. Power Series. The Exponential, Binomial, and Logarithmic Series.

MILLER-BLICKFELDT-DICKSON.-THEORY AND APPLICATIONS OF FINITE GROUPS.

By G. A. MILLER, Professor of Mathematics in the University of Illinois; H. F. BLICKFELDT, Professor of Mathematics in Stamford University; and L. E. DICKSON, Professor of Mathematics in the University of Chicago. xvii + 390 pages. 18s. 6d. net.

CONTENTS.-Examples of Groups and Fundamental Definitions. Substitution Groups and Sylow's Theorem. Fundamental Definitions and Theorems of Abstract Groups. Abelian Groups. Groups whose Orders are Powers of Prime Numbers. Groups having Simple Abstract Definitions. Isomorphisms. Solvable Groups. Preliminary Theorems. The Linear Groups in Two Variables. Some Special Types of Groups. The Linear Groups in Three Variables. Group Characteristics. The Group of an Algebraic Equation for a Given Domain. Sufficient Condition that an Algebraic Equation be Solvable by Radicals. Necessary Condi. tion that an Algebraic Equation be Solvable by Radicals. Constructions with Ruler and Compasses. The Inflexion Points of a Plane Cubic Curve. The 27 Straight Lines on a General Cubic Surface and the 28 Bitangents to a General Quartic Curve. Monodromic Group.

CALCULUS.

BAKER.-ELLIPTIC FUNCTIONS.

An Elementary Text-book for Students of Mathematics. By ARTHUR L. BAKER, C.E., Ph.D., Professor of Mathematics in the University of Rochester, N.Y. 8vo, v+118 pages. 75. net.

CHANDLER.-ELEMENTS OF THE INFINITESIMAL CALCULUS.

By G. H. CHANDLER, M.A., Late Professor of Applied Mathematics, McGill University, Montreal. Third Edition, Rewritten. vi+319 pages, 146 figures. 9s. 6d. net.

An introductory manual of infinitesimal calculus for beginners generally, but more especially for students of engineering and other branches of applied science.

HANCOCK.-LECTURES ON THE THEORY OF ELLIPTIC FUNCTIONS. By HARRIS HANCOCK, Ph.D. (Berlin), Dr. Sc. (Paris), Professor of Mathematics in the University of Cincinnati. Volume I, ANALYSIS. 8vo, xxiii +498 pages, 76 figures. 235. net.

HUDSON-LIPKA.—A TABLE OF INTEGRALS.

By Professor RALPH G. HUDSON, S.B., and JOSEPH LIPKA, Ph. D. Contains a Table of Derivatives, Table of Integrals, Natural Logarithms, Trigonometric and Hyperbolic Functions. 24 pages. Paper. Is. net.

The tables are taken from the mathematical section of the Engineers' Manual, in which are consolidated the principal formulas and tables of Mathematics, Hydraulics, Heat and Electricity.

JOHNSON. AN ELEMENTARY TREATISE ON THE DIFFERENTIAL

CALCULUS.

An Abridged Edition. 7s. net.

JOHNSON. - AN ELEMENTARY TREATISE ON THE INTEGRAL CALCULUS.

By W. WOOLSEY JOHNSON, Professor of Mathematics at the United States Naval Academy. Small 8vo, ix +234 pages, 36 figures. 75. net.

JOHNSON.-DIFFERENTIAL AND INTEGRAL CALCULUS.

By Professor JOHNSON. 2 vols. in one. Small 8vo. IIS. 6d. net.

JOHNSON.-TREATISE

ON THE

DIFFERENTIAL

FOUNDED ON THE METHOD OF RATES.

CALCULUS,

By Professor W. WOOLSEY JOHNSON. xiv +404 pages, 70 figures. 135. 6d. net.

Treats the subject from the standpoint of the relative rate of increase of a function as compared with the independent variable. Graphical methods have been given preference in the treatment.

JOHNSON.—A TREATISE ON THE INTEGRAL CALCULUS, FOUNDED, ON THE METHOD OF RATES.

By Professor W. WOOLSEY JOHNSON. xiv +440 pages, 71 figures. 13s. 6d.

A book which carries the student through the methods of integration in the geometrical applications of the subject, and of double and triple integrals. It also discusses mean values and probabilities in the functions of a complex variable.

E

JOHNSON.—A TREATISE ON ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS.

By W. WOOLSEY JOHNSON, Professor of Mathematics at the U.S. Naval Academy, Annapolis, Md. Small 8vo, xii + 368 pages. 16s. 6d. net.

PHILLIPS. DIFFERENTIAL CALCULUS.

By H. B. PHILLIPS, Ph.D., Assistant Professor of Mathematics in Massachusetts Institute of Technology. v+162 pages, 103 figures. 6s. net.

CONTENTS.-Introduction. Derivative and Differential. Differentiation of Algebraic Functions. Rates. Maxima and Minima. Differentiation of Transcendental Functions. Geometrical Applications. Velocity and Acceleration in a Curved Path. Rolle's Theorem and Indeterminate Forms. Series and Approximations. Partial Differentiation. Supplementary Exercises. Answers. Index.

PHILLIPS.—INTEGRAL CALCULUS.

By Professor Henry B. Phillips, Ph.D. v+194 pages. 6s. net.

CONTENTS.-Integration. Formulas and Methods of Integration. Definite Integrals. Simple Areas and Volumes. Mechanical and Physical Applications. Double and Triple Integration. Differential Equations. PHILLIPS.—DIFFERENTIAL AND INTEGRAL CALCULUS.

Combined Edition. By Professor HENRY B. PHILLIPS, Ph. D. 365 pages. 9s. 6d. net. VEBLEN—LENNES.-INTRODUCTION TO THE REAL INFINITESIMAL ANALYSIS OF ONE VARIABLE.

By Oswald VeBLEN, Preceptor in Mathematics, Princeton University, and N. J. Lennes, formerly Instructor in Mathematics in the Massachusetts Institute of Technology. vii+227 pages. 22 figures. 9s. 6d. net.

A convenient reference book for rigorous courses in advanced calculus and theory of functions.

GEOMETRY.

HALSTED. ELEMENTARY SYNTHETIC GEOMETRY.

For Schools and High Schools. By GEORGE BRUCE HALSTED, Professor of Pure and Applied Mathematics, University of Texas. Third Edition, Revised. 8vo, vii+164 pages, 275 figures. 75. net.

HALSTED.-ELEMENTS OF GEOMETRY.

By GEO. BRUCE HALSTED, Professor of Pure and Applied Mathematics, University of Texas, etc. 8vo, xvi +366 pages, fully illustrated. 8s. 6d. net.

JOHNSON.-CURVE TRACING IN CARTESIAN CO-ORDINATES.

By Professor W. WOOLSEY JOHNSON, U.S. Naval Academy. 12mo, vi+86 pages, 54 figures. 5s. net.

PHILLIPS.—ANALYTIC GEOMETRY.

By H. B. PHILLIPS, Ph.D., Assistant Professor of Mathematics in the Massachusetts Institute of Technology. vii+ 197 pages. 75. net.

CONTENTS.-Algebraic Principles. Rectangular Coördinates. Straight Line and Circle. Second Degree. Equations. Graphs and Empirical Equations. Polar Coördinates. Parametric Equations. Transformation of Coördinates. Coördinates of a Point in Space. Surfaces. Lines and Curves.

ROBERTS-COLPITTS.-ANALYTIC GEOMETRY.

By MARIA M. ROBERTS, Professor of Mathematics in Iowa State College, and JULIA T. COLPITTS, Associate Professor of Mathematics in Iowa State College. 7s. 6d. net.

CONTENTS.-Cartesian Coördinates. Loci. The Straight Line. Polar Coördinates.
Coördinates. The Circle. The Parabola. The Ellipse. The Hyperbola.

Polars, Diameters and Confocal Conics. General Equation of Second Degree.
Equations. Solid Analytic Geometry.

x+229 pages.

Transformation of Tangents and Normals. Poles. Transcendental and Parametri:

TRIGONOMETRY.

MARSH.-SIX-PLACE TABLES OF LOGARITHMIC TRIGONOMETRIC FUNCTIONS. (See p. 126.)

MARSH.-TECHNICAL TRIGONOMETRY. (See p. 112.)

MORITZ.-ELEMENTS OF PLANE TRIGONOMETRY.

By ROBERT E. MORITZ, Ph.D. (Nebraska), Ph. N.D. (Strassburg), Professor of Mathematics, University of Washington. 8vo, xiv +451 pages, 183 figures. 95. 6d. net.

MORITZ.-ELEMENTS OF PLANE TRIGONOMETRY.

edition.

High School

By ROBERT E. MORITZ, Ph.D. (Nebraska), Ph. N. D. (Strassburg), Professor of Mathematics, University of Washington. Small 8vo, viii +315 pages, 146 figures. 5s. net.

CONTENTS. Introduction. Trigonometric Functions of an Acute Angle. Solution of Right Triangles by Natural Functions. Logarithms. Logarithmic Solution of Right Triangles. Functions of an Obtuse Angle. Properties of Triangles. Solution of Oblique Triangles. The General Angle and its Measures. Functions of any Angle. Functions of Two or More Angles. Tables.

MORITZ.-A TEXT-BOOK ON SPHERICAL TRIGONOMETRY.

By ROBERT E. MORITZ, Ph.D., Ph. N.D., Professor of Mathematics in the University of Washington. 8vo, vi+67 pages, 41 figures. 5s. net.

CONTENTS OF SPHERICAL TRIGONOMETRY.-Introduction. Right and Quadrantal Spherical Triangles. Properties of Oblique Spherical Triangles. Solution of Oblique Spherical Triangles.

MORITZ.—PLANE AND SPHERICAL TRIGONOMETRY.

(With five-place Tables.) A Text-book for Technical Schools and Colleges. By ROBERT E. MORITZ, Ph.D., Ph.N.D., Professor of Mathematics in the University of Washington. 8vo, xvi + 453 pages, 224 figures. 115. 6d. net.

MEDICAL WORKS

(See also "Medical Chemistry and Pharmacy" under Chemistry.)

BOLDUAN.-IMMUNE SERA.

A Concise Exposition of the Main Facts and Theories of Infection and Immunity. By DR. CHARLES FREDERICK BOLDUAN, Bacteriologist, Research Laboratory, Department of Health, City of New York. Fifth Edition, Rewritten and Enlarged. 12m0, 216 pages. 75. net.

BORDET-GAY.-STUDIES IN IMMUNITY.

By Professor JULES BORDET, Professor of Bacteriology at the University of Brussels, Director of the Pasteur Institute of Brabant and his Collaborators. Collected and Translated by FREDERICK P. GAY, A.B., M.D., Assistant in Pathology, Harvard Medical School. Including a chapter written expressly for this publication by Professor BORDET. 8vo, vii+ 545 pages. 285. net.

CHANDLER.-ANIMAL PARASITES AND HUMAN DISEASE.

By ASA C. CHANDLER, Ph.D., Instructor in Zoology, Oregon Agricultural College, Corvallis. xiii + 570 pages. 254 figures, 21s. net.

CONTENTS.-Parasites in General. Part I-Protozoa. Introduction to Protozoa. Spirochates. Leishman Bodies and Leishmaniasis. Trypanosomes and Sleeping Sickness. Intestinal Flagellates and Ciliates. Amabæ. Malaria. Other Sporozoa and Obscure or Invisible Parasites. Part II-" Worms." Introduction to the "Worms." The Flukes. The Tapeworms. Hookworms. Other Intestinal Roundworms. Trichina Worms. Filaria and their Allies. Leeches. Part III-Arthropods. Introduction to Arthropods. The Mites. Ticks. Bedbugs and their Allies. Lice. Fleas. Mosquitoes. Other Blood-Sucking Flies. Fly Maggots and Myiasis.

CHAPIN-THE SOURCES AND MODES OF INFECTIONS. (See p. 152.)

DE FURSAC-ROSANOFF.-MANUAL OF PSYCHIATRY.

By J. ROGUES DE FURSAC, M. D., formerly Chief of Clinic at the Medical Faculty of Paris, and A. J. ROSANOFF, M.D., Assistant Physician, State Hospital, Kings Park, N.Y. Fourth Edition. Revised and Enlarged. xvi+ 522 pages, illustrated. IIS. 6d. net.

CONTENTS.-Etiology. Symptomatology. The Practice of Psychiatry. Classification. Arrests of Development. Epilepsy. Dementia Præcox. Paronia. Manic-Depression Psychoses. Involutional Melancholia. Hysteria. Constitutional Psychopaths. Moral Insanity, Huntington's Chorea. Acute Alcoholism. Pathological Drunkenness. Chronic Alcoholism. General Paresis. Cerebral Syphilis. Cerebral Arterios clerosis. Traumatic Psychoses.