INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783709116159
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-50226
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Computer algebra in quantum field theory
General Material Designation
[Book]
Other Title Information
:integration, summation and special functions
First Statement of Responsibility
/ edited by Carsten Schneider, Johannes Blumlein
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Wien
Name of Publisher, Distributor, etc.
: Springer,
Date of Publication, Distribution, etc.
, 2013.
SERIES
Series Title
(Texts & monographs in symbolic computation)
GENERAL NOTES
Text of Note
Print version:: Computer algebra in quantum field theory9783709116159.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes index.
CONTENTS NOTE
Text of Note
Summary: The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.
Text of Note
Harmonic sums, polylogarithms, special numbers, and their generalizations / Jakob Ablinger and Johannes Blumlein -- Multiple Zeta values and modular forms in quantum field theory / David Broadhurst -- Computer-assisted proofs of some identities for Bessel functions of fractional order / Stefan Gerhold and Manuel Kauers -- Conformal methods for massless Feynman integrals and large Nf methods / John A. Gracey -- The holonomic toolkit / Manuel Kauers -- Orthogonal polynomials / Tom H. Koornwinder -- Creative telescoping for holonomic functions / Christoph Koutschan -- Renormalization and Mellin transforms / Dirk Kreimer and Erik Panzer -- Relativistic Coulomb integrals and Zeilberger's holonomic systems approach / Peter Paule and Sergei K. Suslov -- Hypergeometric functions in Mathematica / Oleksandr Pavlyk -- Solving linear recurrence equations with polynomial coefficients / Marko Petkov@02C7sek and Helena Zakraj@02C7sek -- Generalization of Risch's algorithms to special functions / Clemens G. Raab -- Multiple hypergeometric series: Appell series and beyond / Michael J. Schlosser -- Simplifying multiple sums in difference fields / Carsten Schneider -- Potential of FORM 4.0 / Jos A. M. Vermaseren -- Feynman graphs / Stefan Weinzierl.
SERIES
Title
Texts & monographs in symbolic computation
TOPICAL NAME USED AS SUBJECT
Quantum field theory, Data processing
Quantum field theory, Mathematics
Algebra, Computer programs
SCIENCE / Energy, bisacsh
SCIENCE / Mechanics / General, bisacsh
SCIENCE / Physics / General, bisacsh
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - SECONDARY RESPONSIBILITY
Schneider, Carsten
Blumlein, J.Blumlein, Johannes
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9783709116159.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9783709116159.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
