History of Modern Mathematics Mathematical Monographs No. 1 By: David Eugene Smith (1860-1944)
EDITED BY MANSFIELD MERRIMAN AND ROBERT S. WOODWARD
HISTORY OF MODERN
DAVID EUGENE SMITH,
PROFESSOR OF MATHEMATICS IN TEACHERS COLLEGE, COLUMBIA
FOURTH EDITION, ENLARGED.
Mansfield Merriman and Robert S. Woodward.
No. 1. HISTORY OF MODERN MATHEMATICS.
By David Eugene Smith.
No. 2. SYNTHETIC PROJECTIVE GEOMETRY.
By George Bruce Halsted.
No. 3. DETERMINANTS.
By Laenas Gifford Weld.
No. 4. HYPERBOLIC FUNCTIONS.
By James McMahon.
No. 5. HARMONIC FUNCTIONS.
By William E. Byerly.
No. 6. GRASSMANN’S SPACE ANALYSIS.
By Edward W. Hyde.
No. 7. PROBABILITY AND THEORY OF ERRORS.
By Robert S. Woodward.
No. 8. VECTOR ANALYSIS AND QUATERNIONS.
By Alexander Macfarlane.
No. 9. DIFFERENTIAL EQUATIONS.
By William Woolsey Johnson.
No. 10. THE SOLUTION OF EQUATIONS.
By Mansfield Merriman.
No. 11. FUNCTIONS OF A COMPLEX VARIABLE.
By Thomas S. Fiske.
The volume called Higher Mathematics, the first edition of which was published
in 1896, 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 is now discontinued and the chapters are issued
in separate form. In these reissues it will generally be found that the monographs
are enlarged by additional articles or appendices which either amplify
the former presentation or record recent advances. This plan of publication has
been arranged in order to meet the demand of teachers and the convenience
of classes, but it is also thought that it may 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 call for the same seems to warrant it. Among
the topics which are under consideration are those of elliptic functions, the theory
of numbers, 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
form of publication may tend to promote mathematical study and research over
a wider field than that which the former volume has occupied.
This little work was published about ten years ago as a chapter in Merriman and
Woodward’s Higher Mathematics. It was written before the numerous surveys
of the development of science in the past hundred years, which appeared at
the close of the nineteenth century, and it therefore had more reason for being
then than now, save as it can now call attention, to these later contributions.
The conditions under which it was published limited it to such a small compass
that it could do no more than present a list of the most prominent names in
connection with a few important topics. Since it is necessary to use the same
plates in this edition, simply adding a few new pages, the body of the work
remains substantially as it first appeared. The book therefore makes no claim
to being history, but stands simply as an outline of the prominent movements
in mathematics, presenting a few of the leading names, and calling attention to
some of the bibliography of the subject.
It need hardly be said that the field of mathematics is now so extensive
that no one can longer pretend to cover it, least of all the specialist in any one
department. Furthermore it takes a century or more to weigh men and their
discoveries, thus making the judgment of contemporaries often quite worthless.
In spite of these facts, however, it is hoped that these pages will serve a good
purpose by offering a point of departure to students desiring to investigate the
movements of the past hundred years. The bibliography in the foot notes and
in Articles 19 and 20 will serve at least to open the door, and this in itself is a
sufficient excuse for a work of this nature... Continue reading book >>