語系:
繁體中文
English
說明(常見問題)
回圖書館首頁
手機版館藏查詢
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Two algebraic byways from differenti...
~
Iohara, Kenji.
FindBook
Google Book
Amazon
博客來
Two algebraic byways from differential equations = Grobner bases and quivers /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Two algebraic byways from differential equations/ edited by Kenji Iohara ... [et al.].
其他題名:
Grobner bases and quivers /
其他作者:
Iohara, Kenji.
出版者:
Cham :Springer International Publishing : : 2020.,
面頁冊數:
xi, 371 p. :ill., digital ;24 cm.
內容註:
Part I First Byway: Grobner Bases -- 1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet -- 2 Grobner Bases in D-modules: Application to Bernstein-Sato Polynomials -- 3 Introduction to Algorithms for D-Modules with Quiver D-Modules -- 4 Noncommutative Grobner Bases: Applications and Generalizations -- 5 Introduction to Computational Algebraic Statistics -- Part II Second Byway: Quivers -- 6 Introduction to Representations of Quivers -- 7 Introduction to Quiver Varieties -- 8 On Additive Deligne-Simpson Problems -- 9 Applications of Quiver Varieties to Moduli Spaces of Connections on P1.
Contained By:
Springer eBooks
標題:
Grobner bases. -
電子資源:
https://doi.org/10.1007/978-3-030-26454-3
ISBN:
9783030264543
Two algebraic byways from differential equations = Grobner bases and quivers /
Two algebraic byways from differential equations
Grobner bases and quivers /[electronic resource] :edited by Kenji Iohara ... [et al.]. - Cham :Springer International Publishing :2020. - xi, 371 p. :ill., digital ;24 cm. - Algorithms and computation in mathematics,v.281431-1550 ;. - Algorithms and computation in mathematics ;v.28..
Part I First Byway: Grobner Bases -- 1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet -- 2 Grobner Bases in D-modules: Application to Bernstein-Sato Polynomials -- 3 Introduction to Algorithms for D-Modules with Quiver D-Modules -- 4 Noncommutative Grobner Bases: Applications and Generalizations -- 5 Introduction to Computational Algebraic Statistics -- Part II Second Byway: Quivers -- 6 Introduction to Representations of Quivers -- 7 Introduction to Quiver Varieties -- 8 On Additive Deligne-Simpson Problems -- 9 Applications of Quiver Varieties to Moduli Spaces of Connections on P1.
This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Grobner bases) and geometry (via quiver theory) Grobner bases serve as effective models for computation in algebras of various types. Although the theory of Grobner bases was developed in the second half of the 20th century, many works on computational methods in algebra were published well before the introduction of the modern algebraic language. Since then, new algorithms have been developed and the theory itself has greatly expanded. In comparison, diagrammatic methods in representation theory are relatively new, with the quiver varieties only being introduced - with big impact - in the 1990s. Divided into two parts, the book first discusses the theory of Grobner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Grobner bases to analysis on systems of partial differential equations, effective analysis on rings of differential operators, and homological algebra. It then introduces representations of quivers, quiver varieties and their applications to the moduli spaces of meromorphic connections on the complex projective line. While no particular reader background is assumed, the book is intended for graduate students in mathematics, engineering and related fields, as well as researchers and scholars.
ISBN: 9783030264543
Standard No.: 10.1007/978-3-030-26454-3doiSubjects--Topical Terms:
532081
Grobner bases.
LC Class. No.: QA251.3 / .T863 2020
Dewey Class. No.: 512.44
Two algebraic byways from differential equations = Grobner bases and quivers /
LDR
:03154nmm a2200337 a 4500
001
2216490
003
DE-He213
005
20200717093627.0
006
m d
007
cr nn 008maaau
008
201120s2020 sz s 0 eng d
020
$a
9783030264543
$q
(electronic bk.)
020
$a
9783030264536
$q
(paper)
024
7
$a
10.1007/978-3-030-26454-3
$2
doi
035
$a
978-3-030-26454-3
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA251.3
$b
.T863 2020
072
7
$a
PBF
$2
bicssc
072
7
$a
MAT002010
$2
bisacsh
072
7
$a
PBF
$2
thema
082
0 4
$a
512.44
$2
23
090
$a
QA251.3
$b
.T974 2020
245
0 0
$a
Two algebraic byways from differential equations
$h
[electronic resource] :
$b
Grobner bases and quivers /
$c
edited by Kenji Iohara ... [et al.].
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2020.
300
$a
xi, 371 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Algorithms and computation in mathematics,
$x
1431-1550 ;
$v
v.28
505
0
$a
Part I First Byway: Grobner Bases -- 1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet -- 2 Grobner Bases in D-modules: Application to Bernstein-Sato Polynomials -- 3 Introduction to Algorithms for D-Modules with Quiver D-Modules -- 4 Noncommutative Grobner Bases: Applications and Generalizations -- 5 Introduction to Computational Algebraic Statistics -- Part II Second Byway: Quivers -- 6 Introduction to Representations of Quivers -- 7 Introduction to Quiver Varieties -- 8 On Additive Deligne-Simpson Problems -- 9 Applications of Quiver Varieties to Moduli Spaces of Connections on P1.
520
$a
This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Grobner bases) and geometry (via quiver theory) Grobner bases serve as effective models for computation in algebras of various types. Although the theory of Grobner bases was developed in the second half of the 20th century, many works on computational methods in algebra were published well before the introduction of the modern algebraic language. Since then, new algorithms have been developed and the theory itself has greatly expanded. In comparison, diagrammatic methods in representation theory are relatively new, with the quiver varieties only being introduced - with big impact - in the 1990s. Divided into two parts, the book first discusses the theory of Grobner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Grobner bases to analysis on systems of partial differential equations, effective analysis on rings of differential operators, and homological algebra. It then introduces representations of quivers, quiver varieties and their applications to the moduli spaces of meromorphic connections on the complex projective line. While no particular reader background is assumed, the book is intended for graduate students in mathematics, engineering and related fields, as well as researchers and scholars.
650
0
$a
Grobner bases.
$3
532081
650
0
$a
Differential equations.
$3
517952
650
1 4
$a
Field Theory and Polynomials.
$3
891077
650
2 4
$a
Algebraic Geometry.
$3
893861
650
2 4
$a
Associative Rings and Algebras.
$3
897405
650
2 4
$a
Category Theory, Homological Algebra.
$3
899944
650
2 4
$a
Ordinary Differential Equations.
$3
891264
650
2 4
$a
Partial Differential Equations.
$3
890899
700
1
$a
Iohara, Kenji.
$3
3448874
710
2
$a
SpringerLink (Online service)
$3
836513
773
0
$t
Springer eBooks
830
0
$a
Algorithms and computation in mathematics ;
$v
v.28.
$3
3448875
856
4 0
$u
https://doi.org/10.1007/978-3-030-26454-3
950
$a
Mathematics and Statistics (Springer-11649)
筆 0 讀者評論
館藏地:
全部
電子資源
出版年:
卷號:
館藏
1 筆 • 頁數 1 •
1
條碼號
典藏地名稱
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
W9391394
電子資源
11.線上閱覽_V
電子書
EB QA251.3 .T863 2020
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
評論
新增評論
分享你的心得
Export
取書館
處理中
...
變更密碼
登入