This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. Covering all the modern techniques in detail, it relates applications to cutting-edge research fields such as Yang–Mills theory and string theory.
Aimed at readers in applied mathematics and physics rather than pure mathematics, the material is ideally suited to students and researchers whose main interest lies in finding solutions to differential equations and invariants of maps.
A large number of worked examples and challenging exercises help readers to work independently of teachers, and by including SymbolicC++ implementations of the techniques in each chapter, the book takes full advantage of the advancements in algebraic computation.
Twelve new sections have been added in this edition, including: Haar measure, Sato's theory and sigma functions, universal algebra, anti-self dual Yang-Mills equation, and discrete Painlevé equations.
Errata(s)
Errata
Betaal eenvoudig met kaart, Klarna, Apple Pay of Google Pay. Niet tevreden? Je hebt altijd 14 dagen bedenktijd. Lees meer in onze voorwaarden. Heb je vragen, mail ons dan via hello@memmo.org.
Memmo maakt studeren makkelijker – waar je ook bent ter wereld. Wij brengen je cursusboeken en slimme studietools samen op één plek: samenvattingen, quizzen, podcasts en flashcards. En Ted, je studievriend die antwoord geeft op alles wat je je afvraagt. Meer dan 50.000 studenten studeren hier al – gebouwd om je sneller te laten leren en minder stress te geven.