The theory of numbers, by Robert D. Carmichael ...

EDITORS' PREFACE.

THE volume called Higher Mathematics, the third edition
of which was published in 900o, contained eleven chapters by
eleven authors, each chapter being independent of the others,
but all supposing the reader to have at least a mathematical
training equivalent to that given in classical and engineering
colleges. The publication of that volume was discontinued in
I906, and the chapters have since been issued in separate
Monographs, they being generally enlarged by additional
articles or appendices which either amplify the former presentation or record recent advances. This plan of publication
was arranged in order to meet the demand of teachers and
the convenience of classes, and it was also thought that it
would prove advantageous to readers in special lines of mathematical literature.
It is the intention of the publishers and editors to add other
monographs to the series from time to time, if the demand
seems to warrant it. Among the topics which are under consideration are those of elliptic functions, the theory of quantics,
the group theory, the calculus of variations, and non-Euclidean
geometry; possibly also monographs on branches of astronomy,
mechanics, and mathematical physics may be included. It is
the hope of the editors that this Series of Monographs may
tend to promote mathematical study and research over a wider
field than that which the former volume has occupied.