001447479 000__ 03251cam\a2200469Ii\4500 001447479 001__ 1447479 001447479 003__ OCoLC 001447479 005__ 20230310004120.0 001447479 006__ m\\\\\o\\d\\\\\\\\ 001447479 007__ cr\un\nnnunnun 001447479 008__ 220614s2022\\\\sz\a\\\\ob\\\\001\0\eng\d 001447479 020__ $$a9783030995584$$q(electronic bk.) 001447479 020__ $$a3030995585$$q(electronic bk.) 001447479 020__ $$z9783030995577$$q(print) 001447479 0247_ $$a10.1007/978-3-030-99558-4$$2doi 001447479 035__ $$aSP(OCoLC)1329441914 001447479 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ 001447479 049__ $$aISEA 001447479 050_4 $$aQC174.17.F45 001447479 08204 $$a515/.43$$223/eng/20220614 001447479 1001_ $$aWeinzierl, Stefan,$$eauthor. 001447479 24510 $$aFeynman integrals :$$ba comprehensive treatment for students and researchers /$$cStefan Weinzierl. 001447479 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022. 001447479 300__ $$a1 online resource (xiv, 857 pages) :$$billustrations (some color). 001447479 336__ $$atext$$btxt$$2rdacontent 001447479 337__ $$acomputer$$bc$$2rdamedia 001447479 338__ $$aonline resource$$bcr$$2rdacarrier 001447479 4901_ $$aUNITEXT for physics,$$x2198-7890 001447479 504__ $$aIncludes bibliographical references and index. 001447479 5050_ $$aIntroduction -- Basics -- Graph polynomials -- Quantum field theory -- One-loop integrals -- Iterated integrals -- Transformations of differential equations -- Multiple polylogarithms -- Nested sums -- Sector decomposition -- Hopf algebras, coactions and symbols -- Cluster algebras -- Elliptic curves -- Motives and mixed Hodge structures -- Numerics -- Final project. 001447479 506__ $$aAccess limited to authorized users. 001447479 520__ $$aThis textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a mathematical point of view. Topics from quantum field theory and advanced mathematics are introduced as needed. The book covers modern developments in the field of Feynman integrals. Topics included are: representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals. This volume is aimed at a) students at the master's level in physics or mathematics, b) physicists who want to learn how to calculate Feynman integrals (for whom state-of-the-art techniques and computations are provided), and c) mathematicians who are interested in the mathematical aspects underlying Feynman integrals. It is, indeed, the interwoven nature of their physical and mathematical aspects that make Feynman integrals so enthralling. 001447479 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 14, 2022). 001447479 650_0 $$aFeynman integrals. 001447479 655_0 $$aElectronic books. 001447479 830_0 $$aUNITEXT for physics,$$x2198-7890 001447479 852__ $$bebk 001447479 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-99558-4$$zOnline Access$$91397441.1 001447479 909CO $$ooai:library.usi.edu:1447479$$pGLOBAL_SET 001447479 980__ $$aBIB 001447479 980__ $$aEBOOK 001447479 982__ $$aEbook 001447479 983__ $$aOnline 001447479 994__ $$a92$$bISE