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Computer Algebra in Quantum Field Theory Integration, Summation and Special Functions /
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 diffe...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Vienna :
Springer Vienna : Imprint: Springer,
2013.
|
| Edición: | 1st ed. 2013. |
| Colección: | Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-7091-1616-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220119204104.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 131005s2013 au | s |||| 0|eng d | ||
| 020 | |a 9783709116166 |9 978-3-7091-1616-6 | ||
| 024 | 7 | |a 10.1007/978-3-7091-1616-6 |2 doi | |
| 050 | 4 | |a QC793-793.5 | |
| 050 | 4 | |a QC174.45-174.52 | |
| 072 | 7 | |a PHP |2 bicssc | |
| 072 | 7 | |a SCI051000 |2 bisacsh | |
| 072 | 7 | |a PHP |2 thema | |
| 082 | 0 | 4 | |a 530.14 |2 23 |
| 245 | 1 | 0 | |a Computer Algebra in Quantum Field Theory |h [electronic resource] : |b Integration, Summation and Special Functions / |c edited by Carsten Schneider, Johannes Blümlein. |
| 250 | |a 1st ed. 2013. | ||
| 264 | 1 | |a Vienna : |b Springer Vienna : |b Imprint: Springer, |c 2013. | |
| 300 | |a XIV, 411 p. 41 illus. |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 Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, |x 2197-8409 | |
| 505 | 0 | |a 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 | |a 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 | |a Elementary particles (Physics). | |
| 650 | 0 | |a Quantum field theory. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Special functions. | |
| 650 | 0 | |a Computer science-Mathematics. | |
| 650 | 1 | 4 | |a Elementary Particles, Quantum Field Theory. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 650 | 2 | 4 | |a Special Functions. |
| 650 | 2 | 4 | |a Symbolic and Algebraic Manipulation. |
| 700 | 1 | |a Schneider, Carsten. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Blümlein, Johannes. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783709116173 |
| 776 | 0 | 8 | |i Printed edition: |z 9783709116159 |
| 776 | 0 | 8 | |i Printed edition: |z 9783709148495 |
| 830 | 0 | |a Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, |x 2197-8409 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-7091-1616-6 |z Texto Completo |
| 912 | |a ZDB-2-SCS | ||
| 912 | |a ZDB-2-SXCS | ||
| 950 | |a Computer Science (SpringerNature-11645) | ||
| 950 | |a Computer Science (R0) (SpringerNature-43710) | ||