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20140310151131.0 |
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131005s2013 au | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783709116166 |
|
978-3-7091-1616-6 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QC793-793.5 |
|
|---|
| Classification number |
QC174.45-174.52 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
539.72 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Vienna : |
| -- |
Springer Vienna : |
| -- |
Imprint: Springer, |
| -- |
2013. |
| 912 ## - |
|---|
| -- |
ZDB-2-SCS |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Schneider, Carsten. |
| Relator term |
editor. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Computer Algebra in Quantum Field Theory |
| Medium |
[electronic resource] : |
| Remainder of title |
Integration, Summation and Special Functions / |
| Statement of responsibility, etc |
edited by Carsten Schneider, Johannes Blümlein. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIV, 411 p. 41 illus. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, |
| International Standard Serial Number |
0943-853X |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Harmonic sums, polylogarithms, special numbers, and their generalizations -- Multiple Zeta values and modular forms in quantum field theory -- Computer-assisted proofs of some identities for Bessel functions of fractional order -- Conformal methods for massless Feynman integrals and large Nf methods -- The holonomic toolkit -- Orthogonal polynomials -- Creative telescoping for holonomic functions -- Renormalization and Mellin transforms -- Relativistic Coulomb integrals and Zeilberger's holonomic systems approach -- Hypergeometric functions in Mathematica -- Solving linear recurrence equations with polynomial coefficients -- Generalization of Risch's algorithms to special functions -- Multiple hypergeometric series -- Appell series and beyond -- Simplifying multiple sums in difference fields -- Potential of FORM 4.0 -- Feynman graphs. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Physics. |
|
|---|
| Topical term or geographic name as entry element |
Algebra |
| General subdivision |
Data processing. |
|
|---|
| Topical term or geographic name as entry element |
Functions, special. |
|
|---|
| Topical term or geographic name as entry element |
Quantum theory. |
|
|---|
| Topical term or geographic name as entry element |
Physics. |
|
|---|
| Topical term or geographic name as entry element |
Elementary Particles, Quantum Field Theory. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical Physics. |
|
|---|
| Topical term or geographic name as entry element |
Quantum Field Theories, String Theory. |
|
|---|
| Topical term or geographic name as entry element |
Special Functions. |
|
|---|
| Topical term or geographic name as entry element |
Symbolic and Algebraic Manipulation. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Blümlein, Johannes. |
| Relator term |
editor. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783709116159 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-7091-1616-6 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
