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Algebra
Book Description "Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books." NOTICES OF THE AMS "The author has an impressive knack for presenting the important and interesting ideas of algebra in just the right way, and he never gets bogged down in the dry formalism which pervades some parts of algebra." MATHEMATICAL REVIEWS This book is intended as a basic text for a one-year course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text. (From amazon.com) -
高等微积分
《数学翻译丛书:高等微积分(修订版)》是哈佛大学的高等微积分教材,内容涵盖了从基本的向量空间概念到经典力学基本定理。包括多元微积分、外微分、微分形式的积分等。《数学翻译丛书:高等微积分(修订版)》的特点是作者从拓扑一几何的观点来写微积分。用更现代的方式讲线性代数,把线性代数与微积分紧密地结合起来,这顺应了当代数学“拓扑几何与分析结合”的发展潮流。 -
A Course in Probability Theory, Third Edition
在线阅读本书 Since the publication of the first edition of this classic textbook over thirty years ago, tens of thousands of students have used A Course in Probability Theory . New in this edition is an introduction to measure theory that expands the market, as this treatment is more consistent with current courses. While there are several books on probability, Chung's book is considered a classic, original work in probability theory due to its elite level of sophistication. -
数论导引
本书是一本经典的数论名著,书的内容取材于作者在牛津大学、剑桥大学等大学授课的讲义。书中从各个不同角度对数论进行了阐述,包括素数、无理数、同余、费马定理、同余式、连分数、不定式、二次域、算术函数、分划等等。第二作者为此书每章增加了必要的注解地,便于读者理解并进一步学习。 本书读者对象为大学数学专业学生以及对数论感兴趣的专业人士。 -
Calculus
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复变函数论
《复变函数论(第3版)》是在第二版的基础上,集撷作者多年教学心得和科研成果,并根据1988年全国复变函数编写提纲讨论会精神修订的。此次修订着眼于进一步提高质量,更加适应多数学校的教学需要,保留第二版阐述细致,便于自学的特点,对已发现的错误和不妥之处,予以改正。《复变函数论(第3版)》内容包括:复数与复变函数、解析函数、复变函数的积分、解析函数的幂级数表示法、解析函数的洛朗展式与孤立奇点、留数理论及其应用、共形映射、解析延拓和调和函数共九章。对于加上*号内容,供学有余力的学生选学。《复变函数论(第3版)》可作为高等师范院校数学系的教材,也可为其他理工院校、教育学院所选用。