Matrices and Determinoids. Volume I. By C. E. 



Cnllis, M.A., Pi'ofessor of Mathejnatics in the Presidency 

 College. Calctdta. 



b ■ 



University of Calcutta Readership Lectures. Volume I. Large Royal 8vo. 

 pp. .\ii+43o. Price z\s. net. 



Extract Jrom the Preface 



The chief feature of the present work is that it deals with 

 recta^icrular matrices and determinoids as disting-uished from 

 square 7natrices and detei'minants. An attempt is made 

 to set forth a complete and consistent theory or calculus of 

 rectangular matrices and determinoids. 



The first volume contains the most fundamental portions 

 ot the theory, and concludes with the solution of any system 

 of linear algebraic equations, which is treated as a special 

 case ot the solution ot a matrix equation of the first degree. 



A second volume, which is nearly ready, will contain 

 further developments of the general theory, including a dis- 

 cussion of matrix equations of the second degree. It will 

 also contain a large number of applications to Algebra and 

 to the Analytical Geometry of space of two, three and n 

 dimensions. 



Principia Mathematica. Volume III. By A. N. 



Whitehead, Sc.D., F.R.S., and Bertrand Russell, M.A., 

 F.R.S. 



Large Royal 8vo. pp. x + 492. Price 2\s. net. 



Extract from, the Preface 



The present volume continues the theory of series begun 

 in Volume II, and then proceeds to the theory of measure- 

 ment. Geometry we have found it necessary to reserve for 

 a separate final volume. In the theory of well-ordered series 

 and compact series, we have followed Cantor closely, except 

 in dealing with Zermelo's theorem, and in cases where 

 Cantor's work tacitly assumes the multiplicative axiom. 

 Thus what novelty there is, is in the main negative. 

 Part VI, on the theory of ratio and measurement, on the 

 other hand, is new, though it is a development of the method 

 initiated in Euclid Book V and continued by Burali-Forti. 



