Theory Of Numbers Part 1 Primary Source Edition PDF Download

"THIS treatise is intended to provide the English student with an intelligible outline of the Theory of Numbers which may serve as an introduction to the detailed study of the subject at first hand. No single work of reasonable size could possibly do justice to every part of the theory; and in the choice of material it is not easy to adopt any plan which is likely to approve itself to everyone. I have been guided principally by a desire to give a fairly complete account of the theories of congruences and of arithmetical forms, so far as they have been developed hitherto; to this I hope to be able to add a sketch of the different complex and ideal theories. Diophantine analysis proper, and questions of pure "tactic," have been omitted, except in so far as they have been subsidiary to the general scheme. The range of this first volume is sufficiently indicated by the table of contents. It is hardly necessary to say that I have derived continual assistance from the works of Gauss and Dirichlet, and from H. J. S. Smith's invaluable 'Report on the Theory of Numbers'. I am also greatly indebted to Professor Dedekind for permission to make free use of his edition of Dirichlet's 'Vorlesungen über Zahlentheorie'. So far as this present volume is concerned, the accountant of Dirichlet's researches has been taken primarily from his original memoirs; at the same time, I owe much to the study of the 'Vorlesungen', and I hope that I may eventually avail myself of Prof. Dedekind's kindness more directly, by giving some account of his theory of ideals. In the references at the ends of the chapters and elsewhere I have done my best to indicate fully the sources from which I have derived my information. No attempt has been made to give an exhaustive bibliography; even if I had been equal to the task of compiling it, the result would probably be merely embarrassing to the beginner, whose attention should be directed in the first place to the works of the great masters of the science..." - G.B. Mathews (1892)