Elementary Number Theory - (Second Edition)

Author: None
Publisher:
Publish Date: 2003-01-01
Features: Since its publication in September 1992, this book has sold 24,000 copies and is highly favored by teachers and students. In the second edition, the author has further revised and improved the content based on valuable feedback from readers and the book's editors over the past decade, as well as insights gained from teaching practices (see the note on the second edition). This has made the book even more suitable for teaching needs. The book serves as a textbook for introductory number theory courses in universities. It is divided into nine chapters, covering topics such as divisibility, Diophantine equations, congruences, congruence equations, exponents and primitive roots, continued fractions, elementary results on the distribution of prime numbers, and number-theoretic functions. The book includes numerous exercises, and hints and solutions are provided at the end. The book draws on the author's decades of experience in teaching and research, adhering to the principle of "less but better" in selecting materials. To facilitate student understanding, key content is analyzed from multiple perspectives and elaborated on from different angles. The book features clear explanations of concepts, rigorous reasoning, a well-structured organization, emphasis on key points, abundant examples, and a wide range of applications, making it suitable for self-study. This book can be used as a textbook for number theory courses in departments of mathematics, applied mathematics, and computer science in comprehensive universities, as well as in secondary and higher normal schools and teacher training colleges. It is also suitable for mathematicians, secondary school mathematics teachers, and high school students.