Computer Algebra in Quantum Field Theory Integration, Summation and Special Functions /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Schneider, Carsten (Επιμελητής έκδοσης), Blümlein, Johannes (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Vienna : Springer Vienna : Imprint: Springer, 2013.
• Σειρά: Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
• Θέματα: Physics.; Computer science > Mathematics.; Special functions.; Mathematical physics.; Quantum field theory.; String theory.; Elementary particles (Physics).; Elementary Particles, Quantum Field Theory.; Mathematical Physics.; Quantum Field Theories, String Theory.; Special Functions.; Symbolic and Algebraic Manipulation.
• Φυσική περιγραφή: XIV, 411 p. 41 illus. online resource.
• ISBN: 9783709116166
• ISSN: 0943-853X

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.