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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.
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About the Author:
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.
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- PublisherDover Publications
- Publication date2018
- ISBN 10 0486819191
- ISBN 13 9780486819198
- BindingPaperback
- Number of pages240
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Book Description Paperback. Condition: new. Paperback. After an introductory chapter on the fundamentals of topology and group theory, this book presents a concise treatment of several more advanced subjects. Topics include semitopological groups, locally compact groups, Harr measure, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras. AUTHOR: 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. Concise treatment covers semitopological groups, locally compact groups, Harr measure, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras. 1966 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486819198
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