BIBLIO is the largest independent book marketplace in the world, with over 100 million books.

Skip to content

Groebner Deformations of Hypergeometric Differential Equations, Algorithms and
Stock photo: cover may vary

Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6 Hardback - 2000

by Mutsumi Saito; Sturmfels, Bernd; Nobuki Takayama

Add to wish list

Reader reviews for Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6

From the publisher

In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Grbner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Grbner deformations of left ideals in the Weyl algebra are the algebraic analogue to classical perturbation techniques. The algorithmic methods introduced here are particularly useful for studying the systems of multidimensional hypergeometric PDEs introduced by Gelfand, Kapranov and Zelevinsky. The Grbner deformation of these GKZ hypergeometric systems reduces problems concerning hypergeometric functions to questions about commutative monomial ideals, and leads to an unexpected interplay between analysis and combinatorics. This book contains a number of original research results on holonomic systems and hypergeometric functions, and raises many open problems for future research in this area.

First line

This book provides symbolic algorithms for constructing holomorphic solutions to systems of linear partial differential equations with polynomial coefficients.

From the rear cover

In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Grbner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Grbner deformations of left ideals in the Weyl algebra are the algebraic analogue to classical perturbation techniques. The algorithmic methods introduced in this book are particularly useful for studying the systems of multidimensional hypergeometric partial differentiel equations introduced by Gel'fand, Kapranov and Zelevinsky. The Grbner deformation of these GKZ hypergeometric systems reduces problems concerning hypergeometric functions to questions about commutative monomial ideals, and thus leads to an unexpected interplay between analysis and combinatorics. This book contains a number of original research results on holonomic systems and hypergeometric functions, and it raises many open problems for future research in this rapidly growing area of computational mathematics '

Details

  • Title Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6
  • Author Mutsumi Saito; Sturmfels, Bernd; Nobuki Takayama
  • Binding Hardback
  • Edition U. S. EDITION
  • Pages 254
  • Language ENG
  • Publisher Springer, Berlin
  • Publication date January 7, 2000
  • Features Illustrated
  • ISBN 9783540660651

More Copies for Sale

GROBNER DEFORMATIONS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
Stock photo: cover may vary

GROBNER DEFORMATIONS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS

by SAITO, STURMFELS, TAKAYAMA,

  • New
  • Hardback
  • first
Condition
New
Edition
1st
Binding
Hardcover
ISBN 10 / ISBN 13
9783540660651 / 3540660658
Quantity available
5
Seller
Item price
A$65.57
A$29.14 Delivery to USA

Show details

Description:
Springer, 2000. 1st. Hardcover. New/New.
Add to wish list
Item price
A$65.57
A$29.14 Delivery to USA
GROBNER DEFORMATIONS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
Stock photo: cover may vary

GROBNER DEFORMATIONS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS

by SAITO, STURMFELS, TAKAYAMA,

  • Used
  • Hardback
  • first
Condition
New
Edition
1st
Binding
Hardcover
ISBN 10 / ISBN 13
9783540660651 / 3540660658
Quantity available
5
Seller
Item price
A$65.57
A$29.14 Delivery to USA

Show details

Description:
Springer, 2000. 1st. Hardcover. UsedLikeNew/UsedLikeNew.
Add to wish list
Item price
A$65.57
A$29.14 Delivery to USA
Gröbner Deformations of Hypergeometric Differential Equations
Stock photo: cover may vary

Gröbner Deformations of Hypergeometric Differential Equations

by Bernd Sturmfels Mutsumi Saito Nobuki Takayama

  • New
  • Hardback
Condition
New
Binding
Hardcover
ISBN 10 / ISBN 13
9783540660651 / 3540660658
Quantity available
1
Seller
Item price
A$77.74
A$5.81 Delivery to USA

Show details

Description:
Springer , pp. 268 . Hardback. New.
Add to wish list
Item price
A$77.74
A$5.81 Delivery to USA
Groebner Deformations Of Hypergeometric Differential Equations, Algorithms And Computation In...
Stock photo: cover may vary

Show details

Description:
New/New. Brand New Original US Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!
Add to wish list
Item price
A$81.57
A$21.86 Delivery to USA
Grobner Deformations Of Hypergeometric Differential Equations
Stock photo: cover may vary

Grobner Deformations Of Hypergeometric Differential Equations

  • New
Condition
New
ISBN 10 / ISBN 13
9783540660651 / 3540660658
Quantity available
1
Seller
Item price
A$84.28
A$21.86 Delivery to USA

Show details

Description:
New/New. Brand New Original US Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!
Add to wish list
Item price
A$84.28
A$21.86 Delivery to USA
Gröbner Deformations of Hypergeometric Differential Equations
Stock photo: cover may vary

Gröbner Deformations of Hypergeometric Differential Equations

by Saito, Mutsumi

  • Used
  • Good
  • Hardback
Condition
Good
Binding
Hardcover
ISBN 10 / ISBN 13
9783540660651 / 3540660658
Quantity available
1
Seller
Item price
A$86.64
Free Delivery to USA

Show details

Description:
hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book.
Add to wish list
Item price
A$86.64
Free Delivery to USA
Groebner Deformations Of Hypergeometric Differential Equations, Algorithms and Computation In...
Stock photo: cover may vary

Groebner Deformations Of Hypergeometric Differential Equations, Algorithms and Computation In Mathematics, Volume 6

by Mutsumi Saito, Bernd Sturmfels, Nobuki Takayama,

  • New
Condition
New
ISBN 10 / ISBN 13
9783540660651 / 3540660658
Quantity available
5
Seller
Item price
A$103.64
A$5.81 Delivery to USA

Show details

Description:
new.
Add to wish list
Item price
A$103.64
A$5.81 Delivery to USA
Groebner Deformations Of Hypergeometric Differential Equations, Algorithms and Computation In...
Stock photo: cover may vary

Groebner Deformations Of Hypergeometric Differential Equations, Algorithms and Computation In Mathematics, Volume 6

by Mutsumi Saito, Bernd Sturmfels, Nobuki Takayama,

  • Used
Condition
New
ISBN 10 / ISBN 13
9783540660651 / 3540660658
Quantity available
5
Seller
Item price
A$103.64
A$5.81 Delivery to USA

Show details

Description:
like new.
Add to wish list
Item price
A$103.64
A$5.81 Delivery to USA
Customers who searched for ISBN 9783540660651 may also be interested in this item:
International Edition

Intl. Ed.

GROBNER DEFORMATIONS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS ; VOL - 6

by SAITO

  • New
Note
International Edition
Condition
New
Edition
USA Edition
Quantity available
3
Seller
Item price
A$104.77
A$5.81 Delivery to USA

Show details

Description:
USA Edition . New. Brand New! Fast Delivery This is an International Edition and ship within 24-48 hours. Deliver by FedEx and Dhl, & Aramex, UPS, & USPS and we do accept APO and PO BOX Addresses. Order can be delivered worldwide within 6-10 days and we do have flat rate for up to 2LB. Extra shipping charges will be requested if the Book weight is more than 5 LB. This Item May be shipped from India, United states & United Kingdom. Depending on your location and availability.
Add to wish list
Item price
A$104.77
A$5.81 Delivery to USA
Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in...

Show details

Description:
hardcover. ISBN: 9783540660651
Publisher ‏ : ‎ Springer, November 12, 1999
Hardcover, 272 pages
In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Gröbner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Gröbner deformations of left ideals in the Weyl algebra are the algebraic analogue to classical perturbation techniques. The algorithmic methods introduced here are particularly useful for studying the systems of multidimensional hypergeometric PDEs introduced by Gelfand, Kapranov and Zelevinsky. The Gröbner deformation of these GKZ hypergeometric systems reduces problems concerning hypergeometric functions to questions about commutative monomial ideals, and leads to an unexpected interplay between analysis and combinatorics. This book contains a number of original research results on holonomic systems and… Read more
Add to wish list
Item price
A$26.46
A$79.38 Delivery to USA