王朝网络
分享
 
 
 

有限场及伽罗瓦环讲义LECTURES ON FINITE FIELDS AND GALOIS RINGS

王朝导购·作者佚名
 
有限场及伽罗瓦环讲义LECTURES ON FINITE FIELDS AND GALOIS RINGS  点此进入淘宝搜索页搜索
  特别声明:本站仅为商品信息简介,并不出售商品,您可点击文中链接进入淘宝网搜索页搜索该商品,有任何问题请与具体淘宝商家联系。
  参考价格: 点此进入淘宝搜索页搜索
  分类: 图书,进口原版书,科学与技术 Science & Techology ,

作者: Zhe-Xian Wan著

出 版 社: Penguin

出版时间: 2003-12-1字数:版次: 1页数: 342印刷时间: 2003/08/01开本:印次: 1纸张: 胶版纸I S B N : 9789812385703包装: 平装编辑推荐

作者简介:

Born in Shandong, China, in 1927, Zhe-Xian Wan graduated from Tsinghua University, Beijing, in 1948 and became a teacher at the same university. In 1950 he joined the Chinese Academy of Sciences, and in 1978 he was appointed Research Professor at the Academy. He is also a member of the Chinese Academy of Sciences.

Professor Wan's main research interests are algebra (pure and applied), combinatorics and coding theory. In addition to nearly 130 papers, he has published 18 books in these areas, including Classical Groups (jointly with L K Hua), Lie Algebras, Algebra and Coding, Introduction to Kac-Moody Algebras, Geometry of Classical Groups over Finite Fields, Geometry of Matrices and Quaternary Codes.

内容简介

This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasised. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included. The essentials of Galois rings are also presented. This invaluable book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated. --This text refers to the Hardcover edition.

目录

1 Sets and Integers

1.1 Sets and Maps

1.2 The Factorization of Integers

1.3 Equivalence Relation and Partition

1.4 Exercises

2 Groups

2.1 The Concept of a Group and Examples

2.2 Subgroups and Cosets

2.3 Cyclic Groups

2.4 Exercises

3 Fields and Rings

3.1 Fields

3.2 The Characteristic of a Field

3.3 Rings and Integral Domains

3.4 Field of Fractions of an Integral Domain

3.5 Divisibility in a Ring

3.6 Exercises

4 Polynomials

4.1 Polynomial Rings

4.2 Division Algorithm

4.3 Euclidean Algorithm

4.4 Unique Factorization of Polynomials

4.5 Exercises

5 Residue Class Rings

5.1 Residue Class Rings

5.2 Examples

5.3 Residue Class Fields

5.4 More Examples

5.5 Exercises

6 Structure of Finite Fields

6.1 The Multiplicative Group of a Finite Field

6.2 The Number of Elements in a Finite Field

6.3 Existence of Finite Field with pn Elements

6.4 Uniqueness of Finite Field with pn Elements

6.5 Subfields of Finite Fields

6.6 A Distinction between Finite Fields of Characteristic 2 and Not 2

6.7 Exercises

7 Further Properties of Finite Fields

7.1 Automorphisms

7.2 Characteristic Polynomials and Minimal Polynomials

7.3 Primitive Polynomials

7.4 Trace and Norm

7.5 Quadratic Equations

7.6 Exercises

8 Bases

8.1 Bases and Polynomial Bases

8.2 Dual Bases

……

9Factoring Polynomials over Finite Fields

10Irreducible Polynomials over Finite Fields

11Quadratic Forms over Finite Fields

12More Group Theory and Ring Theory

13Hensel's Lemma and Hensel Lift

14Galois Rings

Bibliography

Index

 
 
免责声明:本文为网络用户发布,其观点仅代表作者个人观点,与本站无关,本站仅提供信息存储服务。文中陈述内容未经本站证实,其真实性、完整性、及时性本站不作任何保证或承诺,请读者仅作参考,并请自行核实相关内容。
2023年上半年GDP全球前十五强
 百态   2023-10-24
美众议院议长启动对拜登的弹劾调查
 百态   2023-09-13
上海、济南、武汉等多地出现不明坠落物
 探索   2023-09-06
印度或要将国名改为“巴拉特”
 百态   2023-09-06
男子为女友送行,买票不登机被捕
 百态   2023-08-20
手机地震预警功能怎么开?
 干货   2023-08-06
女子4年卖2套房花700多万做美容:不但没变美脸,面部还出现变形
 百态   2023-08-04
住户一楼被水淹 还冲来8头猪
 百态   2023-07-31
女子体内爬出大量瓜子状活虫
 百态   2023-07-25
地球连续35年收到神秘规律性信号,网友:不要回答!
 探索   2023-07-21
全球镓价格本周大涨27%
 探索   2023-07-09
钱都流向了那些不缺钱的人,苦都留给了能吃苦的人
 探索   2023-07-02
倩女手游刀客魅者强控制(强混乱强眩晕强睡眠)和对应控制抗性的关系
 百态   2020-08-20
美国5月9日最新疫情:美国确诊人数突破131万
 百态   2020-05-09
荷兰政府宣布将集体辞职
 干货   2020-04-30
倩女幽魂手游师徒任务情义春秋猜成语答案逍遥观:鹏程万里
 干货   2019-11-12
倩女幽魂手游师徒任务情义春秋猜成语答案神机营:射石饮羽
 干货   2019-11-12
倩女幽魂手游师徒任务情义春秋猜成语答案昆仑山:拔刀相助
 干货   2019-11-12
倩女幽魂手游师徒任务情义春秋猜成语答案天工阁:鬼斧神工
 干货   2019-11-12
倩女幽魂手游师徒任务情义春秋猜成语答案丝路古道:单枪匹马
 干货   2019-11-12
倩女幽魂手游师徒任务情义春秋猜成语答案镇郊荒野:与虎谋皮
 干货   2019-11-12
倩女幽魂手游师徒任务情义春秋猜成语答案镇郊荒野:李代桃僵
 干货   2019-11-12
倩女幽魂手游师徒任务情义春秋猜成语答案镇郊荒野:指鹿为马
 干货   2019-11-12
倩女幽魂手游师徒任务情义春秋猜成语答案金陵:小鸟依人
 干货   2019-11-12
倩女幽魂手游师徒任务情义春秋猜成语答案金陵:千金买邻
 干货   2019-11-12
 
>>返回首页<<
推荐阅读
 
 
频道精选
 
更多商品
奥斯卡·克莱因纪念演讲集OSKAR KLEIN MEMORIAL LECTURES, THE (VOL 3)
凝聚物的简单观点SIMPLE VIEWS ON CONDENSED MATTER (3RD EDITION)
基本电子结构ELEMENTARY ELECTRONIC STRUCTURE
925纯银复古系列太阳神吊坠-琥珀(赠送价值48元925银扣仿皮绳)HYL
非线性非整数序列电路及系统:导论NONLINEAR NONINTEGER ORDER CIRCUITS & SYSTEMS - AN INTRODUCTION
同步加速器辐射理论及其发展:纪念I M 特诺夫SYNCHROTRON RADIATION THEORY
925纯银复古系列珠珠连连手链-松石HYL(售完为止)
原子及分子的量子世界导论:解题手册INTRODUCTION TO THE QUANTUM WORLD OF ATOMS & MOLECULES: WITH FREE SOLUTIONS MANUAL
晶体与液体统计物理学:高准确度物态方程指南STATISTICAL PHYSICS OF CRYSTALS AND LIQUIDS
巴拿赫希耳伯特空间向量测度与群表示BANACH-HILBERT SPACES, VECTOR MEASURES AND GROUP REPRESENTATIONS
静静地坐在废墟上,四周的荒凉一望无际,忽然觉得,凄凉也很美
© 2005- 王朝网络 版权所有