TAILIEUCHUNG - The Theory of Numbers, by Robert D. Carmichael

The word mathematics comes from the Greek μάθημα (máthēma), which, in the ancient Greek language, means "what one learns", "what one gets to know", hence also "study" and "science", and in modern Greek just "lesson". The word máthēma is derived from μανθάνω (manthano), while the modern Greek equivalent is μαθαίνω (mathaino), both of which mean "to learn". In Greece, the word for "mathematics" came to have the narrower and more technical meaning "mathematical study", even in Classical times.[18] Its adjective is μαθηματικός (mathēmatikós), meaning "related to learning" or "studious", which likewise further came to mean "mathematical". In particular, μαθηματικὴ τέχνη. | The Project Gutenberg EBook The Theory of Numbers by Robert D. Carmichael This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at Title The Theory of Numbers Author Robert D. Carmichael Release Date October 10 2004 EBook 13693 Language English Character set encoding TeX START OF THIS PROJECT GUTENBERG EBOOK THE THEORY OF NUMBERS Produced by David Starner Joshua Hutchinson John Hagerson and the Project Gutenberg On-line Distributed Proofreading Team. 1 MATHEMATICAL MONOGRAPHS EDITED BY MANSFIELD MERRIMAN AND ROBERT S. WOODWARD. No. 13. THE THEORY OF NUMBERS By ROBERT D. CARMICHAEL Associate Professor of Mathematics in Indiana University NEW YORK JOHN WILEY SONS. London chapman HALL Limited. 1914. Copyright 1914 ROBERT D. CArMICHAEL. THE scientific press ROBERT DRUMMOND AND company Brooklyn N. y. Transcriber s Note I did my best to recreate the index. 11 MATHEMATICAL MONOGRAPHS. EDITED By Mansfield Merriman and Robert S. Woodward. Octavo. Cloth. each. 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. No. 12. The Theory of Relativity. By Robert D. Carmichael. No. 13. The Theory of Numbers. By Robert D. Carmichael. PUBLISHED BY JOHN WILEY SONS Inc. NEW YORK. CHAPMAN HALL Limited .

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