Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
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In preparing this second edition the earlier portions of the book have been partly re-written, while the chapters on recent mathematics are greatly enlarged and almost wholly new. The desirability of having a reliable one-volume history for the use of readers who cannot devote themselves to an intensive study of the history of mathematics is generally recognized. On the other hand, it is a difficult task to give an adequate bird s-eye-view of the development of mathematics from its earliest beginnings to the present time. In compiling this history the endeavor has been to use only the most reliable sources. Nevertheless, in covering such a wide territory, mistakes are sure to have crept in. References to the sources used in the revision are given as fully as the limitations of space would permit. These references will assist the reader in following into greater detail the history of any special subject. Frequent use without acknowledgment has been made of the following publications: A nnuario Biografico del Circolo MaknuU ico diP alermo 1914; Jakrhuch uber die Fortschritte derM athematiky Berlin; .C. Poggendorffs Biographisch-L iterarisckes Handworterbuch, Leipzig; Gedenkkigebuch fur McU henuU ikeT fvon Felix Miiller, 3. A ufl., Leipzig und Berlin, i()i2 Revue SemestrieU edes Publications MathinuU igues, A msterdam. The author is indebted toM iss Falka M. Gibson ofO akland, Cal. for assistance in the reading of the proofs. Floman Cajori. University of California March,
(Typographical errors above are due to OCR software and don't occur in the book.)
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An increased interest in the history of the exact sciences manifested in recent years by teachers everywhere, and the attention given to historical inquiry in the mathematical class-rooms and seminaries of our leading universities, cause me to believe that a brief general History of Mathematics will be found acceptable to teachers and students. The pages treating|necessarily in a very condensed form of the progress made during the present century, are put forth with great di_dence, although I have spent much time in the e_ort to render them accurate and reasonably complete. Many valuable suggestions and criticisms on the chapter on \Recent Times" have been made by Dr. E. W. Davis, of the University of Nebraska. The proof-sheets of this chapter have also been submitted to Dr. J. E. Davies and Professor C. A. Van Velzer, both of the University of Wisconsin; to Dr. G. B. Halsted, of the University ofTexas; Professor L. M. Hoskins, of the Leland Stanford Jr. University; and Professor G. D. Olds, of Amherst College,|all of whom have a_orded valuable assistance. I am specially indebted to Professor F. H. Loud, of Colorado College, who has read the proof-sheets throughout. To all the gentlemen above named, as well as to Dr. Carlo Veneziani of Salt Lake City, who read the first part of my work in manuscript, I desire to express my hearty thanks. But in acknowledging their kindness, I trust that I shall not seem to lay upon them any share in the responsibility for errors which I may have introduced in subsequent revision of the text. FLORIAN CAJORI.
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