Elliott, E. B. Algebra of Quantics, an introduction, having as its primary object the explanation of the leading principles of invariant Algebra. 2nd edn. 8vo. Pp. 482. 1913. Oxford: Clarendon Press. 15s.

Klein, F. Lectures on the Icosahedron, and the Solutions of Equations of the Fifth Degree. Translated by G. G. Morrice. 2nd edn. 8vo.

Pp. 305. 1913. Kegan Paul. 10s. 6d.

Macaulay, F. S. The Algebraic Theory of Modular Systems. Demy 8vo. Pp. 126. 1916. Cambridge University Press. 58. 6d. Mathews, G. B.

Algebraic Equations. 2nd edn. Demy 8vo. Pp. 72. 1915. Cambridge University Press. 38.

Milne, W. P. Higher Algebra. Cr. 8vo. Pp. 598. 1913. Arnold. 88. 6d.

--Homogeneous Co-ordinates.

Cr.

8vo. Pp. 176. 1910. Arnold. 68. Whitehead, A. N. A Treatise on Universal Algebra. Vol. 1. Roy. 8vo. Pp. 612. 1898. Cambridge University Press. 248.

c. Determinants, Theory of
Groups, etc.

Burnside, W. Theory of Groups of
Finite Order. 2nd edn. Demy 8vo.
Pp. 526. 1911. Cambridge Uni-
versity Press. 178. 6d.

Campbell, J. E. Theory of Con

tinuous Groups, an Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups. 8vo. 1903. Pp. 436. Oxford: Clarendon Press. 14s. Cullis, C. E. Matrices and Determinoids. Roy. 8vo. Vol. 1. Pp. 442. 1914. 24s. Vol. 2. Pp. 580. 1918. 42s. Cambridge University Press.

Grace, J. H., and Young, A. The Algebra of Invariants. Demy 8vo. Pp. 384. 1903. Cambridge University Press. 12s. 6d.

Hilton, H. Homogeneous Linear Substitutions. A collection for the benefit of the Mathematical Student of those properties of the Homogeneous Linear Substitution, with real or complex co-efficients of which frequent use is made in the Theory of Groups and the Theory of Bilinear Forms and Invariant Factors. 8vo. Pp. 192. 1914. Oxford: Clarendon Press. 12s. 6d. -Theory of Groups of Finite Order, an Introduction which aims at introducing the reader to more advanced treatises and original papers on Groups of Finite Orders. 8vo. Pp. 248. 1908. Oxford: Clarendon Press. 148.

MacMahon, P. A. An Introduction to Combinatory Analysis. 8vo. 1920. Cambridge University Press. 7s. 6d.

-Combinatory Analysis. 2 Vols. Roy. 8vo. Vol.1. Pp. 329. 1915. 20s. Vol. 2. Pp. 359. 1916. 18s. Cambridge University Press.

Muir, Sir T. Theory of Determinants in the Historical Order of Development. 8vo. Vol. 1. Part 1. General Determinants up to 1841. Vol. 1. Part 2. Special Determinants up to 1841. Pp. 504. 1906. 21s. Vol. 2. The Period 1841 to 1860. Pp. 492. 1911. 21s. Vol. 3. The Period 1861 to 1880. Pp. 530. 1920. 35s. Macmillan.

Scott, R. F. The Theory of Determinants and their Applications. 2nd edn., revised by G. B. Mathews. Demy 8vo. Pp. 299. 1904. Cambridge University Press. 12s.

Wright, J. E. Invariants of Quadratic Differential Forms. Demy 8vo. Pp. 98. 1908. Cambridge University Press. 3s.

xii. CALCULUS.

a. Elementary.

Andrews, E. S., and Heywood, H. B. The Calculus for Engineers. Cr. 8vo. Pp. 284. 1914. Scott, Greenwood. 58.

Baker, W. M. The Calculus for Beginners. 4th edn. Cr. 8vo. Pp. 166. 1919. Bell. 3s. 6d.

Barker, A. H. Graphical Calculus. 5th imp. Cr. 8vo. Pp. 208. 1914. Longmans. 58. 6d.

Blaine, R. G. The Calculus and Its Applications. A Practical Treatise for Engineering Students. Cr. 8vo. Pp. 332. 1919. Constable. 58.

Carey, F. S. Infinitesimal Calculus. New imp. 8vo. Pp. 366. 1919. 168. also in two parts. Part 1. 7s. 6d. Part 2. 10s. 6d. Long

mans.

Carslaw, H. S. An Introduction to the Infinitesimal Calculus. Notes for the use of Science and Engineering Students. 2nd edn. 8vo. Pp. 154. 1919. Longmans. 6s. 6d. Caunt, G. W. Introduction to the Infinitesimal Calculus, with Applications to Mechanics and Physics. 8vo. Pp. 588. 1914. Oxford: Clarendon Press. 10s.

Gibson, G. A. Elementary Treatise on the Calculus. Cr. 8vo. Pp. 552. 1919. Macmillan. 8s. 6d. Graham, J. An Elementary Treatise on the Calculus, for Engineering Students. 4th edn. Cr. 8vo. Pp. 355. 1914. Spon. 8s. 6d. Lamb, H. An Elementary Course of Infinitesimal Calculus. 3rd edn. Demy 8vo. Pp. 544. 1919. Cambridge University Press. 22s. 6d. Larkman, A. E. The Calculus, for Marine Engineers. Demy 8vo. Pp. 92. 1918. James Brown. 4s. 6d.

McNeile, A. M., and J. D. A

School Calculus. Med. 8vo. Pp. 375. 1911. Murray. 98.

Mayo, C. H. P. Elementary Calculus. Cr. 8vo. Pp. 404. 1919. Rivington. 10s.

Mercer, J. W. The Calculus for Beginners. Cr. 8vo. Pp. 464. 1919. Cambridge University Press. 8s. 6d.

Milne, W. P., and Westcott, G. J. B. A First Course in the Calculus. Cr. 8vo. Part 1. 2nd edn. Pp. 196. 1919. 4s. Part 2. Trigonometric and Logarithmic Functions of X, etc. Pp. 260. 1920. 58. 2 Parts in 1 Vol. 8s. 6d. Bell.

Murray, D. A. A First Course in the Infinitesimal Calculus. Cr. 8vo. Pp. 458. 1918. Longmans. 8s. 6d. Perry, J. The Calculus for En

gineers. 13th imp. Cr. 8vo. Pp. 390. Arnold. 8s. 6d.

Smith, R. H. The Calculus for

Engineers and Physicists, Integration and Differentiation, with Applications to Technical Problems: and Classified Reference List of Integrals. 2nd edn. Cr. 8vo. Pp. 222. 1908. Griffin. 98. Thompson, S. P. Calculus Made Easy. 2nd edn. Gl. 8vo. Pp. 314. 1919. Macmillan. 38.

b. Differential and Integral. Davison, C. Differential Calculus. Cr. 8vo. Pp. 309. 1919. Bell. 6s. 6d.

Edwards, J. Differential Calculus for Beginners. Gl. 8vo. Pp. 272. 1919. Macmillan. 58.

-The Differential Calculus: with Applications and numerous Examples. 3rd edn. 8vo. Pp. 546. Macmillan. 17s.

1918.

for

-The Integral Calculus Beginners. Gl. 8vo. Pp. 322. 1919. Macmillan. 5s. Hardy, G. H. The Integration of Functions of a Single Variable. 2nd edn. Demy 8vo. Pp. 75. 1916. Cambridge University Press. 48. Leathem, J. G. Volume and Surface Integrals used in Physics. 2nd edn. Demy 8vo. Pp. 54. 1913. Cambridge University Press.

38. Lodge, A. Integral Calculus for Beginners. 2nd edn. Cr. 8vo. Pp. 203. 1911. Bell. 58. -Differential Calculus Beginners. 4th edn. Cr. Pp. 299. 1913. Bell. 58.

for 8vo.

Love, A. E. H. Elements of the Differential and Integral Calculus. Cr. 8vo. Pp. 222. 1918. Cambridge University Press. 6s. 6d.

Murray, D. A. Differential and Integral Calculus. Cr. 8vo. Pp. 510. 1918. Longmans. 9s.

Prasad, G. A Text Book of Integral Calculus. 8vo. Pp. 252. 1910. Longmans. 9s.

Text-Book of Differential Calculus. 8vo. Pp. 124. 1909. Longmans. 8s.

Stoney, J. An Introduction to the Differential and Integral Calculus: for the use of Engineering and Technical Students. Cr. 8vo. Pp. 146. 1919. Pitman. 3s. 6d.

Taylor, F. G. An Introduction to the Differential and Integral Calculus and Differential Equations. Cr. 8vo. Pp. 592. 1916. Longmans. 10s. 6d.

Todhunter, I. A Treatise on the Differential Calculus. Cr. 8vo. Pp. 428. 1919. 12s. 6d. Key to ditto. Cr. 8vo. Pp. 160. 1920. 12s. 6d. Macmillan.

-A Treatise on the Integral Calculus. Cr. 8vo. Pp. 416. 1916. 12s. 6d. Key to ditto. Cr. 8vo. Pp. 138. 1913. 12s. 6d. Macmillan.

Wansbrough, W. D. A.B.C. of the Differential Calculus. 3rd edn. Cr. 8vo. Pp. 148. 1912. Technical Pub. Co. 48.9d.

Williamson, B. An Elementary Treatise on the Integral Calculus. Cr. 8vo. Pp. 538. 1918. Longmans. 12s. 6d.

-An Elementary Treatise on the Differential Calculus: containing the Theory of Plane Curves. Cr. 8vo. Pp. 488., 1920. Longmans. 12s. 6d.j

Young, W. H. The Fundamental Theorems of the Differential Calculus. Demy 8vo. Pp. 82. 1910. Cambridge University Press. 3s.

c. Differential Equations, etc.

Bateman, H.

Differential Equa

tions. 8vo. Pp. 318. 1918. Longmans. 10s. 6d.

Forsyth, A. R. A Treatise on Differential Equations. 4th edn. 8vo. Pp. 602. 1914. 178. Solutions of the Examples. 8vo. Pp. 249. 1918. 10s. Macmillan.

-Theory of Differential Equations. Demy 8vo. Part 1. Exact Equations and Pfaff's Problem. Pp. 352. 1899. 10s. Part 2. Ordinary Equations, not linear. 2 Vols. Pp. 356., 401. 1900. 278. Part 3. Ordinary Linear Equations. Pp. 550. 1902. 16s. Part 4. Partial Differential Equations. 2 Vols. Pp. 488., 609. 1906. 31s. 6d. Cambridge University Press.

Murray, D. A. An Introductory Course in Differential Equations. 14th imp. Cr. 8vo. Pp. 252. 1919. Longmans. 6s. 6d.

Page, J. M. Ordinary Differential Equations. Cr. 8vo. Pp. 246. 1897. Macmillan. 68. 6d.

Piaggio, H. T. H. An Elementary Treatise on Differential Equations and their Applications. Demy 8vo. Pp. 257. 1920. Bell. 12s.

Fowler, R. H. The Elementary Differential Geometry of Plane Curves. Demy 8vo. Pp. 114. 1920. Cambridge University Press. 6s. 6d.

Frost, P. An Elementary Treatise on Curve Tracing. 4th edn. Revised by R. J. T. Bell. 8vo. Pp. 226. 1918. Macmillan. 12s. 6d.

Hatton, J. L. S. The Theory of the Imaginary in Geometry. Roy. 8vo. Pp. 224. 1920. Cambridge University Press. 19s.

Henderson, A. The Twenty-Seven Lines upon the Cubic Surface. Demy 8vo. Pp. 108. 1911. Cambridge University Press. 58.6d.

Hime, H. W. L. Anharmonic Coordinates. 8vo. Pp. 142. 1910. Longmans. 78. 6d.

Hudson, R. W. H. T. Kummer's Quartic Surface. Demy 8vo. Pp. 230. 1905. Cambridge University Press. 10s.

Jessop, C. M. Quartic Surfaces with Singular Points. Demy 8vo. Pp. 234. 1916. Cambridge University Press. 12s.

-A Treatise on the Line Complex. Demy 8vo. Pp. 379. 1903. Cambridge University Press. 128.6d. Thompson, A. W. H. A New Analysis of Plane Geometry, Finite and Differential. Demy 8vo. Pp. 136. 1914. Cambridge University Press. 78.

Whitehead, A. N. The Axioms of Descriptive Geometry. Demy 8vo. Pp. 82. 1914. Cambridge University Press. 3s.

Wood, P. W. The Twisted Cubic, with some account of the Metrical Properties of the Cubical Hyperbola. Demy 8vo. Pp. 88. 1913. Cambridge University Press. 38.

xiv. PURE GEOMETRY.
a. Elementary.

Askwith, E. H. A Course of Pure Geometry. Containing a complete Geometrical Treatment of the Properties of the Conic Sections. New edn. Demy 8vo. Pp. 295. 1917. Cambridge University Press. 7s. 6d. Baker, W. M., and Bourne, A. A. A New Geometry. 4th edn. Cr. 8vo. Pp. 250. 1919. Bell. 3s. 6d.

-Elementary Geometry: A Modern Text-book of Practical and Theoretical Geometry. 12th edn. Cr. 8vo. Pp. 474. 1919. 5s. 6d. Complete Key. 4th edn. Cr. 8vo. Pp. 178. 1917. 8s. 6d.

Bell.

Barnard, S., and Child, J. M. Elements of Geometry. New imp. Cr. 8vo. Pp. 508. 1919. Macmillan. 58.

A New Geometry for Schools. New imp. Cr. 8vo. Pp. 539.

1916. Macmillan. 5s. Budden, E. Elementary Pure Geometry with Mensuration. A Complete Course of Geometry. Cr. 8vo. Pp. 292. 1904. Chambers. 3s.

Burchett, R. Practical Geometry: A Course of Instruction of Plane Geometrical Figures for the Use of Schools. 18th edn. Cr. 8vo. 1894. Chapman and Hall. 5s. 6d. Davison, C. The Elements of Plane Geometry. Cr. 8vo. Pp. 280. 1920. Cambridge University Press. 10s.

and Richards, C. H. Plane Geometry for Secondary Schools. Cr. 8vo. Pp. 419. 1907. Cambridge University Press. 8s8. Dobbs, H. J. A School Course in Geometry, with Answers. Cr. 8vo. Pp. 466. 1913. Longmans. 6s. Durell, C. V. A Concise Geometry. Cr. 8vo. Pp. 327. 1921. Bell.

58.

Durell, C. V. Modern Geometry. The Straight Line and Circle. Cr. 8vo. Pp. 156. 1920. Macmillan. 6s.

Eagles, T. H.

Constructive Geometry of Plane Curves. Cr. 8vo. Pp. 394. 1885. Macmillan. 12s. Edmondson, T. W. Deductions in Geometry. Riders and Practical Problems, with Full Solutions. 5th imp. Cr. 8vo. Pp. 223. 1920. University Tutorial Press. 48. Godfrey, C., and Siddons, A. W. Modern Geometry. Cr. 8vo. Pp. 178. 1908. 6s. Solutions. 5s. 6d. Cambridge University Press.

-Elementary Geometry, Practical and Theoretical. 3rd edn. Cr. 8vo. Pp. 518. 1918. 2 Parts. 4s. each. Complete in 1 Vol. 78. Solutions by E. A. Price. 3rd edn. 7s. 6d. Cambridge University Press.

-A Shorter Geometry. Cr. 8vo. Pp. 332. 1919. 4s. 6d. Solutions by E. A. Price. 68. Cambridge University Press.

-Practical Geometry and Theoretical Geometry. Cr. 8vo. Pp. 396. 1920. Cambridge University Press.

Pp. 298. 1893. Macmillan. 98. Lawson, G. A New Geometry for Schools. Cr. 8vo. Pp. 260. 1914. Chambers. 2s. 6d.

Low, D. A. Text-book on Practical Solid and Descriptive Geometry. New imp. Cr. 8vo. 1920. Part 1. Pp. 120. 38. Part 2. Pp. 140. 48. Longmans.

Mackay, J. S. Plane Geometry: Practical and Theoretical. (Corresponding to Euclid's Elements I-VI.) Cr. 8vo. Pp. 388. 1905. Chambers. 3s. 6d.

Millar, J. B. Elements of Descriptive Geometry. 3rd edn. Cr. 8vo. Pp. 216. 1913. Macmillan. 7s. Milne, J. J. An Elementary Treatise on Cross-Ratio Geometry. Cr. 8vo. Pp. 312. 1911. Cambridge University Press. 68.

Russell, J. W. Pure Geometry: an

Elementary Treatise. New and Revised edn. Cr. 8vo. Pp. 370. 1905. Oxford: Clarendon Press. 98.

-Sequel to Elementary Geometry. Cr. 8vo. Pp. 208. 1907. 68. Solutions to the Examples (Key). Cr. 8vo. Pp. 112.1908. 10s. 6d. Oxford: Clarendon Press.

Wilson, J. C. On the Traversing of Geometrical Figures. 8vo. Pp. 166. 1905. Oxford: Clarendon Press. 68. 6d.

Workman, W. P., and Cracknell, A. G. The School Geometry. (Euclid I-VI.) 2nd edn. Cr. 8vo. Pp. 439. 1920. University Tutorial Press. 6s.

-Geometry, Theoretical and Practical. Part 1. (Euclid, 1; iii., 1-34; iv., 1-9.) 4th imp. Cr. 8vo. Pp. 368. 1919. 48. Part 2. (Euclid, ii; iii., 35-37; iv., 10-16; vi.) 3rd imp. Cr. 8vo. Pp. 214. 1916, 3s. Part 3. (Euclid, xi.) 2nd imp. Cr. 8vo. Pp. 76. 1911. 2s. 3d. University Tutorial Press.

Macmillan. Drew, W. H. A Geometrical Treatise on Conic Sections. Cr. 8vo. Pp. 178. 1898. Macmillan. 5s. Macaulay, F. S. Geometrical Conics. 2nd ed. Cr. 8vo. Pp. 310. 1906. Cambridge University Press. 78.