点击选择搜索分类
首页 - 日文图书- 正文
☆☆☆☆☆
||
Marius,van,der,Put,Michael ... 著
出版社: 科学出版社 ISBN:9787030183019 版次:1 商品编码:11918310 包装:精装 丛书名: 国外数学名著系列(影印版) 外文名称:Galois Theory of Linear Differential Equations 开本:16开 出版时间:2007-01-01 用纸:胶版纸 页数:438 字数:5
《国外数学名著系列(影印版)33:线性微分方程的伽罗瓦理论》将成为谈领域所有数学家和研究生的标准参考书。
1 Picard Vessiot Theory
1.1 Differential Rings and Fidlds
1.2 Linear Differential Eqations
1.3 Picard-Vessiot Extensions
1.4 The Differential Galois Group
1.5 Liouvillian Extensions
2 Differential Operatiors and Differential Modules
2.1 The Ring=k of Differential Operatiors
2.2 Constuctions with Differential Modules
2.3 Constuctions with Differential Operatiors
2.4 Differential Modules and Representations
3 Formal Local Theory
3.1 Formal Classification of Differential Equations
3.2 The Universal Picalr-Vessiot Ring of K
3.3 Newton Polygons
4 Algorithimc Considerations
4.1 Rational and Exponential Solutions
4.2 Factoring Linear Operatiors
4.3 Liouvillinan Solutions
4.4 Finnite Differential Galois Groups
Analytic Theory
……
5 Monodromy,the Riemann-Hilbert Problem,and the Differential Galois Group
6 Differential Equations on the Complex Sphere and the Rimann-Hillbert Problem
7 Exact Asymptotics
8 Stokes Phenmenon and Differential Galois Groups
9 Stookes Matrices and Meromorphic Classification
10 Universal Picard-Vessiot Rings and Galois Groups
11 Inverse Problems
12 Modeli for Singular Differential Equations
13 Positive Characteristic
Appendices
A Algebraic Geometry
B Tannakian Categories
C Sheaves and Cohmology
D Partial Differential Equations
Bibliography
List of Notiation
Index
国外数学名著系列(影印版)33:线性微分方程的伽罗瓦理论 [Galois Theory of Linear Differential Equations] 电子书 下载 mobi epub pdf txt
国外数学名著系列(影印版)33:线性微分方程的伽罗瓦理论 [Galois Theory of Linear Differential Equations]-so88
国外数学名著系列(影印版)33:线性微分方程的伽罗瓦理论 [Galois Theory of Linear Differential Equations] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
Marius,van,der,Put,Michael ... 著
出版社: 科学出版社 ISBN:9787030183019 版次:1 商品编码:11918310 包装:精装 丛书名: 国外数学名著系列(影印版) 外文名称:Galois Theory of Linear Differential Equations 开本:16开 出版时间:2007-01-01 用纸:胶版纸 页数:438 字数:5
内容简介
《国外数学名著系列(影印版)33:线性微分方程的伽罗瓦理论》专门论述线性微分方程的伽罗瓦理论,涉及诸多方面:代数理论(尤其是微分伽罗瓦理论)、形式理论、分类、有限项可解性判定算法、单值性、希尔伯特21问题、渐近性和可求和性、反问题以及具正特征值的线性微分方程。附录是《国外数学名著系列(影印版)33:线性微分方程的伽罗瓦理论》所用到的代数几何、线性代数群、层及Tannakian范畴中的一些概念。《国外数学名著系列(影印版)33:线性微分方程的伽罗瓦理论》将成为谈领域所有数学家和研究生的标准参考书。
内页插图
目录
Algebraic Theory1 Picard Vessiot Theory
1.1 Differential Rings and Fidlds
1.2 Linear Differential Eqations
1.3 Picard-Vessiot Extensions
1.4 The Differential Galois Group
1.5 Liouvillian Extensions
2 Differential Operatiors and Differential Modules
2.1 The Ring=k of Differential Operatiors
2.2 Constuctions with Differential Modules
2.3 Constuctions with Differential Operatiors
2.4 Differential Modules and Representations
3 Formal Local Theory
3.1 Formal Classification of Differential Equations
3.2 The Universal Picalr-Vessiot Ring of K
3.3 Newton Polygons
4 Algorithimc Considerations
4.1 Rational and Exponential Solutions
4.2 Factoring Linear Operatiors
4.3 Liouvillinan Solutions
4.4 Finnite Differential Galois Groups
Analytic Theory
……
5 Monodromy,the Riemann-Hilbert Problem,and the Differential Galois Group
6 Differential Equations on the Complex Sphere and the Rimann-Hillbert Problem
7 Exact Asymptotics
8 Stokes Phenmenon and Differential Galois Groups
9 Stookes Matrices and Meromorphic Classification
10 Universal Picard-Vessiot Rings and Galois Groups
11 Inverse Problems
12 Modeli for Singular Differential Equations
13 Positive Characteristic
Appendices
A Algebraic Geometry
B Tannakian Categories
C Sheaves and Cohmology
D Partial Differential Equations
Bibliography
List of Notiation
Index
前言/序言
国外数学名著系列(影印版)33:线性微分方程的伽罗瓦理论 [Galois Theory of Linear Differential Equations] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 我们的科普剧 9787518925261 吉京杭,周祎哲-RT
- 曹薰铉决战十三局 围棋皇帝自选自评 重大比赛名局撰集 围棋流行布局 定式演变轨迹
- 狡猾的发明 文明的足迹 [英]格里贝利
- 教你一手好棋;学象棋50讲 王国栋,李燕贵
- 探索生命的奥秘 《科学传奇:探索人体的奥秘》编委会著
- 资治通鉴(套装共16册)
- BF-灿烂人生-电视文学剧本-(上.下册)-郑子毅 哈尔滨工业大学出版社 97875603
- 世界的故事1·古代史:从最早的游牧民族到最后一位罗马皇帝
- 古罗马:每天30秒探索恒久文明的50个伟大成就 科普读物 书籍
- 罗马新史
- 走进生命科学丛书:生命的历程 《生命的历程》编写组
- 太极揉手解密/祝大彤著 太极拳书籍咏春拳杨式赵堡太极拳太极内功解秘 陈氏杨式太极拳形意拳
- 身边的科学-新编少年儿童十万个为什么
- 21世纪新概念速成围棋高级篇上中下全3册
- 电的诞生:1800-1900 9787535280145