Open Court Mathematics Series 



Magic Squares and Cubes. 



Magic squares are of themselves only mathematical curios, but they 

 involve principles whose unfolding should lead the thoughtful mind to 

 a high conception of the wonderful laws of symphony and order which 

 govern the science of numbers. By W. S. Andrews. Price, $1.50. 



Archimedes' Method of Geometrical Solutions Derived from 

 Mechanics. 



Recently discovered and translated from the Greek by Dr. J. L. Heiberg, 

 Professor of Classical Philosophy at the University of Copenhagen; 

 with an introduction by Prof. David Eugene Smith. Price, 30c (Paper). 



Non-Euclidean Geometry. 



A critical and historical study of its development. Authorized English 

 translation with additional appendices. By H. S. Carslaw, Professor 

 of the University of Sydney, N. S. W., with an introduction by Federigo 

 Enriques, Professor in the University of Bologna. "A very readable 

 and satisfactory English version of the best historical introduction we 

 have to the elements of Non-Euclidean Ge.ometry." Bulletin of the 

 Am. Math. Soc. By Robert Bonola. Price, $2.00. 



Foundations of Mathematics. 



The history of Non-Euclidean Geometry is but a search for the philos- 

 ophy of mathematics. The fundamental concepts of mathematics are 

 here traced to their origin. By Dr. Paul Carus. Price, 75c. 



Essays on Numbers. 



These two essays on continuity and the nature and meaning of numbers 

 are an attempt to supply a really scientific foundation for arithmetic. 

 Translated by Prof. W. W. Beman. By Richard Dedekind. Price, 75c. 



On the Study and Difficulties of Mathematics. 



This book treats fully of the various points in the study of mathematics 

 which involve difficulties to beginners ; and, second, it outlines a course 

 of study for specialists. By A. De Morgan. Price, $1.25. 



Elementary Illustrations of the Different and Integral Calculus. 



The simpler fundamental principles of the Calculus are analyzed and 

 discussed in connection with historical illustrations which prepare the 

 student for the technical reasoning and mechanical processes of the 

 science. By A. De Morgan. Price, $1.00. 



A Brief History of Mathematics. 



This book is a systematic attempt to show the growth of arithmetic, 

 algebra, geometry and trigonometry. The history of a science possesses 

 value for every one who would understand its development. By Dr. 

 Carl Fink. Price, $1.50. 



On the Foundation and Technic of Arithmetic. 



An enthusiastic and practical presentation of arithmetic for the use of 

 teachers. By G. B. Halsted. Price, $1.00. 



The Foundations of Geometry. 



This book is a new attempt to choose for geometry a simpler and 

 complete set of independent axioms. By David Hilbert. Price, $1.00. 



Lectures on Elementary Mathematics. 



This is a wonderfully clear reading book in mathematics by one of the 

 greatest mathematicians who ever lived. It is interwoven with historical 

 and philosophical remarks that instruct and stimulate intellectual curi- 

 osity. By J. L. Lagrange. Price, $1.00. 



Bolyai. 



The Science Absolute of Space. Translated from the Latin by George 

 Bruce Halsted. Price, $1.00. 



