2024新版
A First Course in Nonmutative Rings, an outgrowth of the author' s lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. The material covered includes the Wedderburn-Artin theory of semisimple rings, Jacobson' s theory of the radical, representation theory of groups and algebras, prime and semiprime rings, primitive and semiprimitive rings, division rings, ordered rings, local and semilocal rings, perfect and semiperfect rings, and so forth. By aiming the level of writing at the novice rather than the connoisseur and by stressing the role of examples and motivation, the author has produced a text that is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exercises testing the understanding of the general theory in the text are included in this new edition.
本书介绍和讨论了非晶合金塑性变形研究中的数学方法及应用问题。全书共七章，首先介绍非晶合金塑性动力学的研究背景和混沌初步理论；然后介绍相应的数学方法，如时间序列分析、自组织临界理论、分形、多重分形、波动分析法等，以及近几年我们应用这些理论在非晶合金塑性变形中的研究进展；另外，我们还给出一个室温下非晶合金塑性变形的数学模型及模型分析。本书内容属于材料数学研究领域，包含了多个学科（数学、材料、统计、物理、力学等领域）的交叉与融合，可为从事这些领域的研究工作者提供参考。本书可以作为相关科研人员的工具用书，也可作为研究生及高年级本科生教学用书。
