Common Inequalities (Third Edition)

Author: Kuang Jichang
Publisher:
Publish Date: 2004-06-01
Features: This third edition is a comprehensive update and revision of the second edition published in 1993, fully reflecting the new developments in the theory and methods of inequalities since the 20th century, especially since the 1990s. The book is divided into 17 chapters, covering all 40 tertiary classification items on inequalities in the 2000 Mathematics Subject Classification of the American Mathematical Review (MR). It also includes new inequalities that have appeared in various mathematical competitions for college and high school students in China and abroad, as well as inequalities commonly used in engineering and technology problems. The number of inequalities collected has increased from 3,600 in the second edition to over 5,000 in the third edition. Additionally, the third edition summarizes 50 common methods for proving inequalities and proposes 152 unresolved or further research-worthy problems. Since inequalities are indispensable basic tools in all fields of mathematics and science and technology, and this book lowers the starting point, not only does it follow the principle of gradually extending from elementary to advanced levels in the presentation of inequalities, but it also extensively includes elementary inequalities. As a result, the readership of this book is very broad. Readers of all levels and disciplines, whether they are college or high school teachers and students, mathematicians, or engineering and technical personnel, can find useful materials and research topics that interest them.