Introduction to Topological Groups
Jan. 2018 · Courier Dover Publications
E-Book
240
Seiten
reportBewertungen und Rezensionen werden nicht geprüft Weitere Informationen
Über dieses E-Book
Suitable for advanced undergraduates and graduate students in mathematics, this introduction to topological groups presumes familiarity with the elementary concepts of set theory, elements of functional analysis, functions of real and complex variables, and the theory of functions of several variables. Chapters I to V deal with the algebraico-topological aspect of the subject, and Chapters VI to IX emphasize its analytical aspect.
After an introductory chapter on the fundamentals of topology and group theory, the treatment explores semitopological groups and the general theory of topological groups. An elementary study of locally compact topological groups is followed by proofs of the open homomorphism and closed graph theorems in a very general setting. Succeeding chapters examine the rudiments of analysis on topological groups. Topics include the Harr measure, finite-dimensional representations of groups, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras.
After an introductory chapter on the fundamentals of topology and group theory, the treatment explores semitopological groups and the general theory of topological groups. An elementary study of locally compact topological groups is followed by proofs of the open homomorphism and closed graph theorems in a very general setting. Succeeding chapters examine the rudiments of analysis on topological groups. Topics include the Harr measure, finite-dimensional representations of groups, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras.
Autoren-Profil
Born in India, Taqdir Husain received his Ph.D. from Syracuse University in 1960 and emigrated to Canada the following year. He joined the faculty of McMaster University in Hamilton, Ontario, in 1964 and became a Professor of Mathematics there in 1967. Husain served as MacMaster's Chairman of the Department of Mathematics for many years, and upon his 1994 retirement was named Emeritus Professor of Mathematics.
Dieses E-Book bewerten
Deine Meinung ist gefragt!
Informationen zum Lesen
Smartphones und Tablets
Nachdem du die Google Play Bücher App für Android und iPad/iPhone installiert hast, wird diese automatisch mit deinem Konto synchronisiert, sodass du auch unterwegs online und offline lesen kannst.
Laptops und Computer
Im Webbrowser auf deinem Computer kannst du dir Hörbucher anhören, die du bei Google Play gekauft hast.
E-Reader und andere Geräte
Wenn du Bücher auf E-Ink-Geräten lesen möchtest, beispielsweise auf einem Kobo eReader, lade eine Datei herunter und übertrage sie auf dein Gerät. Eine ausführliche Anleitung zum Übertragen der Dateien auf unterstützte E-Reader findest du in der Hilfe.
