BOOKS RECEIVED 



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Empirical Formulas. Mathematical Monographs, edited by Mansfield Merriman 

 and Robert S. Woodward. No. 19. By Theodore R. Running, Associate 

 Professor of Mathematics, University of Michigan. New York : John 

 Wiley & Sons ; London : Chapman and Hall, 1917. (Pp. 144.) Price 7s. 

 net. 



Differential Calculus. By H. B. Phillips, Ph.D., Assistant Professor of Mathe- 

 matics in the Massachusetts Institute of Technology. New York : John 

 Wiley & Sons ; London : Chapman and Hall, 1916. (Pp. v + 194.) Price 

 gs. bd. net. 



Synopsis of Linear Associative Algebra. A Report on its Natural Development 

 and Results Reached up to the Present Time. By James Byrnie Shaw, 

 Professor of Mathematics in the James Millikin University. Washington, 

 D.C. : Published by the Carnegie Institution of Washington, 1907. (Pp. 145.) 



Lectures on the Philosophy of Mathematics. By James Byrnie Shaw. Chicago 

 and London : The Open Court Publishing Company, 1918. (Pp. vii + 206.) 

 Price 6.9. net. 



Cours d'Analyse Mathematique. By Edpuard Goursat, Professeur a la Faculte 

 des Sciences de Paris. Troisieme Edition, Revue et Augmentee. Tome I. 

 Derivees et Differentielles Integrates Definies. Developpements en Series 

 Applications Geometriques. Paris : Gauthier-Villars et Cie, Quai des Grands- 

 Augustins, 55, 191 7. (Pp. 666.) 



Matrices and Determinoids. By C. E. Cullis, M.A., Ph.D., Professor of Mathe- 

 matics in the Presidency College, Calcutta ; formerly Fellow of Gonville and 

 Caius College, Cambridge. Cambridge : at the University Press, 1913. 

 (Pp., Vol. I. xii + 430 ; Vol. II. xxiii + 555.) Price &fls. net. 



Fermat's Last Theorem. Three Proofs by Elementary Algebra. By M. 

 Cashmore. Revised Edition. London : G. Bell & Sons, 1918. (Pp. 55.) 

 Price 2s. 6d. net. 



From Nebula to Nebula, or the Dynamics of the Heavens. Containing a Broad 

 Outline of the History of Astronomy. By George Henry Lepper, Member of 

 the Pittsburgh Bar. Fourth Edition, Revised and Enlarged. Privately 

 Printed. Berger Building, Pittsburgh, Pennsylvania, 1919. (Pp. 401.) 



This volume claims to explain every astronomical phenomenon : startling 

 hypotheses are put forward as a basis of the explanations. Needless to say, 

 these will not stand examination. Whilst acknowledging this, it must be 

 admitted that the book contains much interesting reading and much that is 

 amusing. 



Notes, Problems, and Laboratory Exercises in Mechanics, Sound, Light, Thermo- 

 Mechanics, and Hydraulics. Prepared for Use in Connection with the 

 Course in National and Experimental Philosophy at the United States 

 Military Academy. By Halsey Dunwoody, Acting Professor Natural and 

 Experimental Philosophy, U.S. M. A. New York: John Wiley & Sons; 

 London : Chapman and Hall, 191 7. (Pp. v + 369.) Price 13s. net. 



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