The Theory Of Numbers (1914)

The Theory of Numbers is a comprehensive book written by Robert D. Carmichael in 1914. The book covers a wide range of topics related to number theory, including the properties of integers, prime numbers, divisibility, congruences, and Diophantine equations. It also delves into more advanced topics such as quadratic residues, continued fractions, and the distribution of prime numbers. The book is divided into four parts, with each part covering a specific area of number theory. Part one focuses on the fundamental concepts of number theory, including divisibility, prime numbers, and the Euclidean algorithm. Part two delves into congruences and modular arithmetic, while part three covers quadratic residues and Diophantine equations. Part four explores the distribution of prime numbers and includes topics such as the prime number theorem and the Riemann hypothesis. Throughout the book, Carmichael provides clear explanations of the concepts and proofs, making it accessible to both students and researchers. The book is also filled with numerous examples and exercises to help readers deepen their understanding of the material. Overall, The Theory of Numbers is a classic text in the field of number theory and remains a valuable resource for anyone interested in the subject.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.