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A Course on Abstract Algebra
This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the author's lecture notes at the Department of Mathematics, National Chung Cheng University of Taiwan, it begins with a description of the algebraic structures of the ring and field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange's Theorem and Sylow's Theorems follow as applications of group theory. Ring theory forms the second part of abstract algebra, with the ring of polynomials and the matrix ring as basic examples. The general theory of ideals as well as maximal ideals in the rings of polynomials over the rational numbers are also discussed. The final part of the book focuses on field theory, field extensions and then Galois theory to illustrate the correspondence between the Galois groups and field extensions. This textbook is more accessible and less ambitious than most existing books covering the same subject. Readers will also find the pedagogical material very useful in enhancing the teaching and learning of abstract algebra.
Civil War in China
Many books have tried to analyze the reasons for the Chinese communist success in China's 1945_1949 civil war, but Suzanne Pepper's seminal work was the first and remains the only comprehensive analysis of how the ruling Nationalists lost that war_not just militarily, but by alienating the civilian population through corruption and incompetence. Now available in a new edition, this authoritative investigation of Kuomintang failure and communist success explores the new research and archival resources available for assessing this pivotal period in contemporary Chinese history. Even more relevant today given the contemporary debates in Hong Kong and Taiwan over the terms of reunification with a communist-led national government in Beijing, this book is essential reading for anyone seeking a nuanced understanding of twentieth-century Chinese politics.
Critical Readings on Tang China
The Tang dynasty, lasting from 618 to 907, was the high point of medieval Chinese history, featuring unprecedented achievements in governmental organization, economic and territorial expansion, literature, the arts, and religion. Many Tang practices continued, with various developments, to influence Chinese society for the next thousand years. For these and other reasons the Tang has been a key focus of Western sinologists. This volume presents English-language reprints of fifty-seven critical studies of the Tang, in the three general categories of political history, literature and cultural history, and religion. The articles and book chapters included here are important scholarly benchmarks that will serve as the starting-point for anyone interested in the study of medieval China.
