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Frankland, W. B. Theories of Parallelism: an historical critique. Demy 8vo. Pp. 88.1910. Cambridge University Press. 5s. 6d.

Heath, T. L. Diophantus of Alexandria, a Study in the History of Greek Algebra. 2nd edn. Roy. 8vo. Pp. 396. 1910. Cambridge University Press. 158.

The Works of Archimedes. Edited in modern notation. Demy 8vo. Pp. 502. 1897. Cambridge University Press. 178. 6d.

The Method of Archimedes. A Supplement to the above. Cr. 8vo. Pp. 51. 1912. Cambridge University Press. 38.

Hobson, E. W. "Squaring the Circle." A History of the Problem. Demy 8vo. Pp. 66. 1913. Cambridge University Press. 3s. 6d Knott, C. G. The Life and Scientific Work of Peter Guthrie Tait. Demy 4to. Pp. 390. 1911. Cambridge University Press. 158.

iii. PHILOSOPHY AND
PEDAGOGY OF
MATHEMATICS.

Berkeley, H. Mysticism in Modern
Mathematics. 8vo. Pp. 276.
1910. Oxford: Clarendon Press.
8s.
Branford, B. Mathematical Educa-
tion, including the Teaching of
Arithmetic. Cr. 8vo. Pp. 404.
1908. Oxford: Clarendon Press.
58.

Jaeger, F. M. Lectures on the Principle of Symmetry and its application in all Natural Sciences. Roy. 8vo. Pp. 346. 1919. Cambridge University Press. 20s. Nunn, T. P. The Teaching of Algebra, including Trigonometry. New edn. Cr. 8vo. Pp. 632. 1919. Longmans. 98.

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Whitehead, A. N. and Russell, B. Principia Mathematica. Roy. 8vo.

Vol. 1.

Pp. 679. Pp. 796. Pp. 501.

1910. 258.

1912. 1913.

30s.

258.

Vol. 2. Vol. 3. Cambridge University Press. Young, J. W. A. Monographs on Topics of Modern Mathematics Relevant to the Elementary Field. New edn. 8vo. Pp. 424. 1915. Longmans. 15s.

-The Teaching of Mathematics in the Elementary and Secondary School. New edn. Cr. 8vo. Pp. 378. 1919. Longmans. 78. 6d.

iv. EXAMINATION PAPERS. Fawdry, R. C. Problem Papers in

Mathematics on the lines of the Examinations by the Civil Service Commission. With Answers. Cr. 8vo. Pp. 224. 1915. Macmillan. 58.

Milne, R. M. (edited by). Mathematical Papers for admission into the Royal Military Academy and the Royal Military College; and Papers in Elementary Engineering for Naval Cadetships and Royal Air Force, for the years 1911-1920, with Answers. Cr. 8vo. 1921. Macmillan. 10s. 6d.

Radford, E. M. Mathematical Problem Papers. 2nd edn. Cr. 8vo. Pp. 210. 1914. 68. Solutions. Pp. 566. 1914. 12s. 6d. Cambridge University Press.

Wolstenholme, J. Mathematical Problems, on subjects included in the First and Second Divisions of Cambridge Mathematical Tripos. 3rd edn. 8vo. Pp. 512. 1891. Macmillan. 188.

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Hardy, G. H. A Course of Pure Mathematics. 2nd edn. Demy 8vo. Pp. 156. 1914. Cambridge University Press. 14s.

Whittaker, E. T., and Watson, G. N. A Course of Modern Analysis. An Introduction to the General Theory of Infinite Processes, and of Analytic Functions; with an account of the Principal Transcendental Functions. 3rd edn. Roy. 8vo. Pp. 608. 1920. Cambridge University Press. 40s.

vii. FUNCTIONS.

Baker, H. F. An Introduction to the Theory of Multiply-Periodic Functions. Roy. 8vo. Pp. 351. 1907. Cambridge University Press.

178.

Abel's Theorem and the Allied Theory, including the Theory of the Theta Functions. Roy. 8vo. Pp. 704. 1897. Cambridge University Press. 30s. Bôcher, M. An Introduction to the Study of Integral Equations. 2nd edn. Demy 8vo. Pp. 71.1914. Cambridge University Press. 38. Dixon, A. C. The Elementary Properties of the Elliptic Functions. Gl. 8vo. Pp. 150. 1894. Macmillan. 5s.

Forsyth, A. R. Lectures Introductory to the Theory of Functions of Two Complex Variables. Roy. 8vo. Pp. 297. 1914. Cambridge University Press. 158.

of

Functions

of

a

Theory Complex Variable. 3rd edn. Roy. 8vo. Pp. 879. 1918. Cambridge University Press. 338. Gray, A., and Mathews, G. B. A Treatise on Bessel Functions and their Applications to Physics. 8vo. New imp. in the Press. Macmillan.

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Hardy, G. H. Orders of Infinity. The Infinitärcalcül of Paul du Bois-Reymond. Demy 8vo. Pp. 70. 1910. Cambridge University

Press. 3s.

Hobson, E. W. The Theory of Functions of A Real Variable and the Theory of Fourier's Series. Vol. 1. 2nd edn. Roy. 8vo. Pp. 688. 1921. Cambridge University Press. 45s.

Macrobert, T. M. Functions of a Complex Variable. 8vo. Pp. 312.

1917. Macmillan. 12s. Watson, G. N. Complex Integration and Cauchy's Theorem. Demy 8vo. Pp. 88. 1914. Cambridge University Press. 3s. 6d.

The

Young, W. H., and G. C.
Theory of Sets of Points. Demy
8vo. Pp. 328. 1906. Cambridge
University Press. 128.

viii. VECTORS AND QUATERNIONS. Hamilton, Sir W. R. Elements of Quaternions. Edited by C. J. Joly. 2 vols. Vol. 1. Pp. 622. 1899. Vol. 2. Pp. 558. 1901. Longmans. 30s. 6d. each. vol. Hayward, R. B. The Algebra of Co

Planar Vectors and Trigonometry. Cr. 8vo. Pp. 376. 1892. Macmillan. 8s. 6d.

Henrici, O., and Turner, G. C.

Vectors and Rotors: with Applications. Cr. 8vo. Pp. 220. 1910. Arnold. 5s.

Joly, C. J. A Manual of Quaternions. 8vo. Pp. 348. 1892. Macmillan. 12s. 6d.

Kelland, P., and Tait, P. G. Introduction to Quaternions: with numerous Examples. 3rd edn. Cr. 8vo. Pp. 226. 1904. Macmillan. 8s. 6d.

McAulay, A. Utility of Quaternions in Physics. 8vo. Pp. 122. 1893. Macmillan. 6s. 6d. Silberstein, L. Projective Vector Algebra. An Algebra of Vectors, independent of the Axioms of Congruence and of Parallels. Demy Pp. 76. 1919. Bell. 78. 6d. Vectorial Mechanics. 8vo. Pp. 206. 1913. Macmillan. 10s.

8vo.

Silberstein, L. Elements of Vector Algebra. Cr. 8vo. Pp. 48. 1919. Longmans. 58. 6d.

Weatherburn, C. E. Elementary Vector Analysis: with Application to Geometry and Physics. Demy 8vo. Pp. 211. 1921. Bell. 12s. ix. APPLIED MATHEMATICS.DYNAMICS, PHYSICS, etc. Havelock, T. H. The Propagation of Disturbances in Dispersive Media. Demy 8vo. Pp 96. 1914. Cambridge University Press. 4s. 6d. Ibbetson, W. J. The Mathematical Theory of Perfectly Elastic Solids, with A Short Account of Viscuous Fluids. 8vo. Pp. 532. Macmillan. 21s.

1887.

Leathem, J. G. The Elementary Theory of the Symmetrical Optical Instrument. Demy 8vo. Pp. 82. 1908. Cambridge University Press.

38.

Newton, Sir I. The First Three

Sections of Newton's Principia, with Notes, Illustrations, and Problems. Edited by P. Frost. 3rd edn. 8vo. Pp. 308. 1900. Macmillan. 14s.

Tarleton, F. A. An Introduction to

the Mathematical Theory of Attrac-
tion. 2 vols. Cr. 8vo. Vol. 1.
Pp. 302. 1899. 10s. 6d. Vol. 2.
Pp. 220. 1913. 6s. Longmans.
x. PRACTICAL APPLIED

MATHEMATICS
(ELEMENTARY).

Bates, E. L., and Charlesworth, F.
Practical Mathematics and Geo-
metry. A Text-book for Students
in Technical and Trade Schools,
etc. Cr. 8vo. 1919. Part 1.
Preliminary Course. Pp. 230. 2s.
6d. Part 2. Elementary Course,
Pp. 220. 2s. 6d. Part 3. Ad-
vanced Course. Pp. 320.
Parts 1, 2 and 3 together.
Batsford.

58. 88.

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Brodetsky, S. A First Course in Nomography. 8vo. Pp. 147. 1920. Bell. 10s. 6d.

Castle, F. Workshop Mathematics. 2 Parts. Gl. 8vo. Pp. 178., 208. 1919. 1920. Macmillan. 1s. 9d. each.

Practical Mathematics for Beginners. New imp. Gl. 8vo. Pp. 410. 1920. 3s. 6d. Key. 68. 6d. Macmillan.

Manual of Practical Mathematics. Gl. 8vo. Pp. 634. 1919. Macmillan. 78.

Elementary Practical Mathematics for Technical Students. New imp. Gl. 8vo. Pp. 444. 1919. Macmillan. 48.

Cocks, O. H., and Glover, E. P. Mathematics of Business and Commerce. Cr. 8vo. Pp. 255. 1920. Hodder & Stoughton. 4s. 6d.

Cracknell, A. G. Practical Mathematics with Tables of Logs and Antilogs. Cr. 8vo. Pp. 398. 1920. Longmans. 58. 6d.

Dobbs, W. J. Weighing and Measuring. A Short Course of Practical Exercises in Elementary Mathematics and Physics. Cr. 8vo. Pp. 184. 1910. Methuen. 3s. 6d. Forrest, S. N. Mathematics for Technical Students. Junior Course. Cr. 8vo. Pp. 268. 1920. Arnold. 78. 6d.

Gates, S. B. Pure Mathematics for Engineers. Cr. 8vo. 2 vols. Pp.

Hodder &

1920. 202., 190. Stoughton. 4s. 6d. each. Gibb, D. A Course in Interpolation and Numerical Integration for the Mathematical Laboratory. Pp.90. 1915. Bell. 3s. 6d.

Haler, P. J., and Stuart, A. H. A Course in Mathematics for Technical Students. Cr. 8vo. Part 1. 2nd edn. 3rd imp. Pp. 204. 1919. 3s. Part 2. Pp. 371. 1920. 6s. University Tutorial Press. Harvey, F. W. Everyman's Mathematics. Cr. 8vo. Pp. 142, 1920. Methuen. 48.

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Larard, C. E., and Golding, H. A. Practical Calculations for Engineers. Vol. 1. 4th edn. Cr. 8vo. Pp. 399. 1918. 58. Vol. 2. In preparation. Griffin.

M'Lachlan, N. W. Practical Mathematics for Students attending Evening and Day Technical Classes. Cr. 8vo. Pp. 184. 1913. Longmans. 3s. 6d.

Mann, H. L. A Text-book on Practical Mathematics for Advanced Technical Students. 8vo. Pp. 500. 1915. Longmans. 10s. 6d. Mellor, J. W. Higher Mathematics

for Students of Chemistry and Physics with special reference to Practical Work. 4th edn. 8vo. Pp. 682. 1920. Longmans. 21s.

Millis, C. T. Technical Arithmetic and Geometry. For Use in Technical Institutes and Workshops. 3rd edn. Cr. 8vo. Pp. 316.

Methuen. 58.

1919.

Partington, J. R. Higher Mathematics for Chemical Students. 2nd edn. Cr. 8vo. Pp. 272. 1920. Methuen. 68.

Sandon, F. Everyday Mathematics.
Cr. 8vo. Pp. 272. 1920. Hodder
& Stoughton. 4s. 6d.

Saxelby, F. M. An Introduction to
Practical Mathematics. 7th imp.
Cr. 8vo. Pp. 228. 1919. Long-
mans. 48.

A Course in Practical Mathematics. Stages i and iii. 8vo. Pp. 484. 1913. Longmans. 12s. Sprague, E. H. Elementary Mathematics for Engineers. Cr. 8vo. Pp. 236. 1916. Scott, Greenwood, 5s. Stern, H. A., and Topham, W. H. Practical Mathematics. 2nd edn. Cr. 8vo. Pp. 418. 1920. Bell.

6s.

Turner, G. C. Graphical Methods in
Applied Mathematics. Cr. 8vo.
Pp. 398. 1909. Macmillan. 7s.
Usherwood, T. S., and Trimble,
C. J. A. Practical Mathematics.
for Technical Students. Cr. 8vo.
Part 1. Pp. 378. 1919. 4s. Part 2.
Pp. 576. 1916. 8s. 6d. Macmillan.

xi. ALGEBRA.

a. Elementary.

Baker, W. M., and Bourne, A. A.
Elementary Algebra, with or with-
out Answers. 17th edn. Cr. 8vo.
Pp. 560. 1919. 6s. Key to ditto.
3rd edn. Pp. 252. 1919. 128. Bell.
Barnard, S., and Child, J. M. A
New Algebra. With or without
Answers. Cr. 8vo. Vol. 1. Pp..
320. 1919. 4s. 6d. Key. 7s. 6d.
Vol. 2. Pp. 431. 1919. 58.
Key. 10s. Macmillan.

Percival, A. S. Practical Integra-
tion for the Use of Engineers, etc.
Cr. 8vo.
Borchardt, W. G.
Pp. 122. 1909. Mac-

millan. 3s.

Perry, J. Elementary Practical
Mathematics. 8vo. Pp. 350. 1913.
Macmillan. 7s.

Rose, W. N. Mathematics for Engin-
eers. 2 vols. Demy 8vo. Vol. 1.
2nd edn. Pp. 520. 1920. 10s. 6d.
Vol. 2. Pp. 433. 1920. 13s. 6d.
Chapman & Hall.

Elementary
Algebra, with Answers. 7th edn.
Cr. 8vo. Pp. 562. 1918. 58.
Key Complete. Cr. 8vo. Pp. 511.
1912. 10s. Rivington.

Briggs, W., and Bryan, G. H.
The Tutorial Algebra. Advanced
Course. 4th edn. 11th imp.
Cr. 8vo. Pp. 655. 1919. 9s. 6d.
Key. 58. University Tutorial
Press.

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Buck, R. C. A Manual of Algebra. Designed to meet the Requirements of Sailors and Others. 2nd edn. Cr. 8vo. Pp. 166. 1906. Griffin. 3s. 6d.

Chrystal, G. Introduction

to

Algebra. 3rd edn. Cr. 8vo. Pp. 412. 1914. Black. 6s.

Cracknell, A. G. School Algebra. With Answers. 2nd imp. Cr. 8vo. Pp. 654. 1919. University Tutorial Press. 78. 6d.

Davison, C. Algebra for Secondary Schools. Cr. 8vo. Pp. 632. 1918. 10s., or in 2 Vols. 6s. 6d. each. Cambridge University Press.

-Higher Algebra for Colleges and Secondary Schools. Demy 8vo. Pp. 328. 1918. Cambridge University Press. 8s. 6d.

Deakin, R. Elementary Algebra (formerly entitled The New Matriculation Algebra). 4th edn. 11th imp. Cr. 8vo. Pp. 416. 1914. 4s. 6d. Key. 6s. 6d. University Tutorial Press.

Eastwood, G. S., and Fielden, J. R. Algebra for Engineering Students. Cr. 8vo. Pp. 208. 1919. Arnold. 7s. 6d.

French, C. H., and Osborn, G. Elementary Algebra. Cr. 8vo. Pp. 514. 1908. Cambridge University Press. 5s.

Gibson, G. A. Elementary Treatise on Graphs. Cr. 8vo. Pp. 244. 1919. Macmillan. 4s. 6d.

Godfrey, C., and Siddons, A. W.
Cr. 8vo.
Elementary Algebra.
Pp. 638. 1920. Cambridge Uni-
versity Press. 88.

Hall, H. S. A School Algebra, with Answers. Cr. 8vo. Pp.624. 1919. 58. 6d. Key to ditto. Pp. 672. 1919. 12s. Macmillan.

and Knight, S. R. Elementary Algebra for Schools, with Answers. 8th edn. Gl. 8vo. Pp.

524. 1919. 5s. Key, for Teachers only. Pp. 464. 1919. 108.

Macmillan.

Cr.

-Higher Algebra. 4th edn. 8vo. Pp. 570. 1919. 8s. 6d. Key to ditto. Pp. 380. 1920. 12s. 6d. Macmillan.

Nunn, T. P. Exercises in Algebra, including Trigonometry. Cr. 8vo. Part 1., with Answers. Pp. 368. 1918. 78. 6d. without Answers. 68. 6d. Part 2, with Answers. Pp. 564. 1914. 8s. 6d., without Answers. 7s. 6d. Longmans. O'Dea, J. J. The New Explicit Algebra in Theory and Practice. Cr. 8vo. Pp. 748. 8s. 6d. Also in two Parts. Part 1, 38. 6d. Part 2, 5s. 6d. Longmans.

Ross, P. Elementary Algebra for the use of Higher Grade and Secondary Schools, with Answers. New imp. Cr. 8vo. Pp. 504. 1919. 7s. 6d. Also in two parts. 4s. 6d. each. Longmans.

Smith, C. A Treatise on Algebra.

5th edn. Cr. 8vo. Pp. 664. 1920. 8s. 6d. Key to ditto. Pp. 322. 1914. 12s. 6d. Macmillan. Smith, J. H. Elementary Algebra, with Answers. Cr. 8vo. Pp. 478. 1919. 58. Key. Cr. 8vo. Pp. 424. 1908. 10s. Longmans.

b. Higher Algebra, Theory of Equations and Quantics.

Burnside, W. S., and Panton, A. W. The Theory of Equations: with an Introduction to the Theory of Binary Algebraic Forms. 2 Vols. 8vo. Vol. 1. 8th edn. Pp. 300. 1918. Vol.2. 6th edn. Pp. 308. Longmans. 15s. 6d. each

1916. Vol. Chrystal, G. Algebra, an Elementary Text-book for the Higher Classes of Secondary Schools and Colleges. Post 8vo. Part 1. 5th edn. Pp. 571. 1910. 12s. 6d. Part 2. 2nd edn. Pp. 616. 1919. 12s. 6d. Black.

Dickson, L. E. Linear Algebras. Demy 8vo. Pp. 82. 1914. Cambridge University Press. 3s. 6d.

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