TY - GEN digital ID - 131860178 TI - Lie Groups PY - 2021 SN - 9783030618247 9783030618254 9783030618230 PB - Cham Springer International Publishing DB - UniCat KW - Group theory KW - Ordered algebraic structures KW - Topological groups. Lie groups KW - Geometry KW - algebra KW - landmeetkunde KW - wiskunde KW - topologie UR - https://www.unicat.be/uniCat?func=search&query=sysid:131860178 AB - This textbook provides an essential introduction to Lie groups, presenting the theory from its fundamental principles. Lie groups are a special class of groups that are studied using differential and integral calculus methods. As a mathematical structure, a Lie group combines the algebraic group structure and the differentiable variety structure. Studies of such groups began around 1870 as groups of symmetries of differential equations and the various geometries that had emerged. Since that time, there have been major advances in Lie theory, with ramifications for diverse areas of mathematics and its applications. Each chapter of the book begins with a general, straightforward introduction to the concepts covered; then the formal definitions are presented; and end-of-chapter exercises help to check and reinforce comprehension. Graduate and advanced undergraduate students alike will find in this book a solid yet approachable guide that will help them continue their studies with confidence. ER -