Elementary Number Theory

Author: Pan Chengdong
Publisher:
Publish Date: 2003-12-02
Features: This book is an introductory textbook on elementary number theory. It is divided into thirty-six sections, covering topics such as divisibility, Diophantine equations, congruences, exponents and primitive roots, continued fractions, and number-theoretic functions. Each section is accompanied by a selection of exercises, and the book includes hints and solutions at the end. The book draws on the author's decades of teaching experience and is based on the author's earlier work, Elementary Number Theory (Peking University Press, 1992). After several years of teaching practice and careful consideration of feedback from various stakeholders, the content has been carefully reorganized, revised, and supplemented to make it more mature, well-structured, and versatile. The book is concise in its selection, rigorous in its reasoning, highlights key concepts, provides abundant examples, and offers exercises of varying difficulty. It explores key topics from multiple perspectives and angles, enabling readers to gain a glimpse into some of the essence of number theory in a relatively short time. The intended audience includes students and teachers in mathematics and computer science departments of comprehensive universities, secondary and higher normal schools, teacher training colleges, mathematics enthusiasts, secondary school mathematics teachers, and high school students.