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Advanced Number Theory 7z
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Advanced Number Theory.7z (Size: 8.93 MB) (Files: 1)
Advanced Number Theory.7z
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Name of Book :- Advanced Number Theory . Writer :- Harvey Cohn . Pages :- 283 Publishers :- Dover Publications, Inc. , New York . Edition :- 1962 . ----------------------------------------------------------------------------------- This is a very good book. So please seed after download completes . ----------------------------------------------------------------------------------- Preface :- The prerequisites for this book are the standard first-semester course in number theory (with incidental elementary algebra) and elementary calculus. There is no lack of suitable texts for these prerequisites (for example, An Introduction to the Theory of Numbers, by 1. Niven and H. S. Zuckerman, John Wiley and Sons, 1960, cari be cited as a book that intro- duces the necessary algebra as part of number theory). Usually, very little else cari be managed in that first semester beyond the transition from improvised combinatorial amusements of antiquity to the coherently organized background for quadratic reciprocity, which was achieved in the eighteenth Century. The present text constitutes slightly more than enough for a second- semester course, carrying the student on to the twentieth Century by motivating some heroic nineteenth-Century developments in algebra and analysis. The relation of this textbook to the great treatises Will necessarily be like that of a hisforical novel to chronicles. We hope that once the student knows what to seek he Will find chronicles to be as exciting as a historical novel. The problems in the text play a significant role and are intended to stimulate the spirit of experimentation ivhich has traditionally ruled number theory and which has indeed become resurgent with the realization of the modern computer. A student completing this course should acquire an appreciation for the historical origins of linear algebra, for the zeta- function tradition, for ideal class structure, and for genus theory. These ideas, although relatively old, still make their influence felt on the frontiers of modern mathematics. Fermatsl ast theorem and complex multiplication are unfortunate omissions,b ut the motive was not to depresst he degree of difficulty SO much as it was to make the most efficient usage of one semester. My acknowledgments are many and are difficult to list. 1 enjoyed the . benefits of coursesu nder Bennington P. Gill at City College and Saunders MacLane at Harvard. The book profited directly from suggestionsb y my students and from the incidental advice of many readers, particularly Burton W. Jones and Louis J. Mordell. 1 owe a special debt to Herbert S. Zuckerman for a careful reading, to Gordon Pal1f or major improvements, and to the staff of John Wiley and Sons for their cooperation.-------------------------------------Torrent downloaded from http://thepiratebay.se
