|
|
|
|
| LEADER |
04902nam a22006735i 4500 |
| 001 |
466b9691-166b-4953-a0da-dd369466f8ce |
| 005 |
20230616000000.0 |
| 008 |
200220s2020^^^^gw^|^^^^o^^^^||||^0|eng^d |
| 020 |
|
|
|a 9783030264536
|
| 020 |
|
|
|a 9783030264543
|
| 020 |
|
|
|a 9783030264550
|
| 020 |
|
|
|a 9783030264567
|
| 024 |
7 |
|
|a 10.1007/978-3-030-26454-3
|2 doi
|
| 035 |
|
|
|a (WaSeSS)ssj0002289749
|
| 040 |
|
|
|d WaSeSS
|e rda
|
| 050 |
|
4 |
|a QA247-247.45
|
| 072 |
|
7 |
|a MAT002010
|2 bisacsh
|
| 072 |
|
7 |
|a PBF
|2 bicssc
|
| 072 |
|
7 |
|a PBF
|2 thema
|
| 082 |
0 |
4 |
|a 512.3
|2 23
|
| 245 |
0 |
0 |
|a Two Algebraic Byways from Differential Equations: Gr��bner Bases and Quivers /
|c edited by Kenji Iohara, Philippe Malbos, Masa-Hiko Saito, Nobuki Takayama
|
| 250 |
|
|
|a 1st ed. 2020
|
| 264 |
|
1 |
|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2020
|
| 300 |
|
|
|a 1 online resource (XI, 371 p. 56 illus., 1 illus. in color.)
|b online resource
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 347 |
|
|
|a text file
|b PDF
|2 rda
|
| 490 |
1 |
|
|a Algorithms and Computation in Mathematics,
|x 1431-1550 ;
|v 28
|
| 505 |
0 |
|
|a Part I First Byway: Gr��bner Bases -- 1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet -- 2 Gr��bner Bases in D-modules: Application to Bernstein-Sato Polynomials -- 3 Introduction to Algorithms for D-Modules with Quiver D-Modules -- 4 Noncommutative Gr��bner 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 Gr��bner bases) and geometry (via quiver theory). Gr��bner bases serve as effective models for computation in algebras of various types. Although the theory of Gr��bner 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 Gr��bner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Gr��bner 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 Algebra
|
| 650 |
|
0 |
|a Algebraic geometry
|
| 650 |
|
0 |
|a Associative rings
|
| 650 |
|
0 |
|a Category theory (Mathematics)
|
| 650 |
|
0 |
|a Differential equations
|
| 650 |
|
0 |
|a Field theory (Physics)
|
| 650 |
|
0 |
|a Homological algebra
|
| 650 |
|
0 |
|a Partial differential equations
|
| 650 |
|
0 |
|a Rings (Algebra)
|
| 650 |
1 |
4 |
|a Field Theory and Polynomials
|
| 650 |
2 |
4 |
|a Algebraic Geometry
|
| 650 |
2 |
4 |
|a Associative Rings and Algebras
|
| 650 |
2 |
4 |
|a Category Theory, Homological Algebra
|
| 650 |
2 |
4 |
|a Ordinary Differential Equations
|
| 650 |
2 |
4 |
|a Partial Differential Equations
|
| 655 |
|
0 |
|a Electronic books
|
| 700 |
1 |
|
|a Iohara, Kenji
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
|
| 700 |
1 |
|
|a Malbos, Philippe
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
|
| 700 |
1 |
|
|a Saito, Masa-Hiko
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
|
| 700 |
1 |
|
|a Takayama, Nobuki
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
|
| 710 |
2 |
|
|a SpringerLink (Online service)
|
| 773 |
0 |
|
|t Springer eBooks
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9783030264536
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9783030264550
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9783030264567
|
| 830 |
|
0 |
|a Algorithms and Computation in Mathematics,
|x 1431-1550 ;
|v 28
|
| 999 |
1 |
0 |
|i 466b9691-166b-4953-a0da-dd369466f8ce
|l 009594615
|s US-NCD
|m two_algebraic_byways_from_differential_equations_gr��bner_bases_and_qu_____2020____202sprina___________________________________________________________________________e
|
| 999 |
1 |
1 |
|l 009594615
|s ISIL:US-NCD
|t BKS
|a DUKIR
|x ITNET
|p UNLOANABLE
|