or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic ...
Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly. Until recently most abstract ...
出版社:Virginia Commonwealth University Mathematics 出版年:2011-8-10 页数:384 定价:USD 19.95 装帧:Hardcover ISBN:9780982406250 豆瓣评分 评价人数不足 评价: 写笔记 写书评 加入购书单 分享到 推荐 内容简介· ··· Abstract Algebra: Theory and Applications is an open-source textbook written by Tom Ju...
The meaning of ABSTRACT ALGEBRA is a branch of mathematics in which algebraic concepts are generalized by using symbols to represent basic arithmetical operations. How to use abstract algebra in a sentence.
Fields and Galois Theory fields applications to geometry finite fields the Galois group equations Group theory features in many of the arguments, and is fully explained in the text... JS Milne 被引量: 120发表: 2006年 Lectures on Algebra This book is a timely survey of much of the algebra ...
They study general normal and separable extensions and the fundamental theorem of Galois theory. Using this, the authors present several major applications of the theory, including solvability by radicals and the insolvability of the quintic, the fundamental theorem of algebra, the constructions of ...
and realistic applications. The core set of examples and applications are in cryptography, coding theory, linear recurrences, and control theory. Applications include the Advanced Encryption Standard, decoding of BCH codes, and convolutional codes. The material for these topics is developed systematically...
Chapter 10, and can be deferred on a first reading. Chapters 15 and 16 are entirely new. These extend the early ring theory chapters and introduce relations between commutative algebra and geometry. Chapter 15 be- gins the exposition of some central concepts in commutative algebra and each se...
Download chapterPDF Back to top Authors and Affiliations DVC Office, University of Tasmania, Launceston, Austria Rudolf Lidl Institut für Mathematik, Universität Linz, Linz, Austria Günter Pilz Bibliographic Information Book TitleApplied Abstract Algebra ...
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