Computer Algebra in Quantum Field Theory (Record no. 52794)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03900nam a22005775i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-7091-1616-6 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200420221254.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 131005s2013 au | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783709116166 |
| -- | 978-3-7091-1616-6 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 539.72 |
| 245 10 - TITLE STATEMENT | |
| Title | Computer Algebra in Quantum Field Theory |
| Sub Title | Integration, Summation and Special Functions / |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIV, 411 p. 41 illus. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 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--SUBJECT 1 | |
| General subdivision | Mathematics. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Schneider, Carsten. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Bl�umlein, Johannes. |
| 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) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Vienna : |
| -- | Springer Vienna : |
| -- | Imprint: Springer, |
| -- | 2013. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Physics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Computer science |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Special functions. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Quantum field theory. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | String theory. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Elementary particles (Physics). |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Physics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Elementary Particles, Quantum Field Theory. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical Physics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Quantum Field Theories, String Theory. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Special Functions. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Symbolic and Algebraic Manipulation. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0943-853X |
| 912 ## - | |
| -- | ZDB-2-SCS |
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