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,...

Bachelor Thesis from the year 2014 in the subject Computer Science - Commercial Information Technology, grade: 1,5, University of Cooperative Education, language: English, abstract: Diese Bachelorarbeit beschaftigt sich mit den Schnittstellen zwischen IT Betrieb und IT Projekten. Dabei wird insbesondre auf die Projektphasen und die Verbindung zwischen den ITSM Prozessen eingegangen. Folgende Fragestellungen stehen dabei im Fokus: - Was ist IT Betrieb und was sind die groten Herausforderungen fur den IT Betrieb? - Was sind die speziellen Merkmale von IT Betrieb und IT Projekten? - Welche...

This book focuses on advanced computer algebra methods and special functions that have applications in quantum field theory. It presents new methods for (infinite) multiple sums, multiple integrals, difference and differential equations.

This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews.The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of...