Namdeo Khobragade, Himanshu Roy

Topology and Functional Analysis

• Broschiertes Buch

Produktbeschreibung

The book entitled 'Topology and Functional Analysis' contains twelve chapters. This book contains countable and uncountable sets. examples and related theorems. cardinal numbers and related theorems. topological spaces and examples. open sets and limit points. derived sets. closed sets and closure operators. interior, exterior and boundary operators. neighbourhoods, bases and relative topologies. connected sets and components. compact and countably compact spaces. continuous functions, and homeomorphisms.sequences. axioms of countability. Separability. regular and normal spaces. Urysohn's lemma. Tietze extension theorem. completely regular spaces. completely normal spaces. compactness for metric spaces. properties of metric spaces. quotient topology. Nets and Filters. product topology : finite products, product invariant properties, metric products , Tichonov topology, Tichonov theorem. locally finite topological spaces. paracompact spaces, Urysohn's metrization theorem. normed spaces, Banach spaces, properties of normed spaces. finite dimensional normed spaces and subspaces. compactness and finite dimension. bounded and continuous linear operators,inner product spaces.

Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Seitenzahl: 624
• Erscheinungstermin: 29. Oktober 2016
• Englisch
• Abmessung: 220mm x 150mm x 39mm
• Gewicht: 947g
• ISBN-13: 9783659467646
• ISBN-10: 3659467642
• Artikelnr.: 46868778

Autorenporträt

Prof. N. W. Khobragade M.Sc (Stats), M.Sc (Maths), M B A, Ph.D (Maths) Ph.D (Stats), Department of Mathematics, RTM Nagpur University, Nagpur. 30 students have been awarded Doctorate degree (Ph.D) under his supervision. He has more than 300 research publications in national and international journals in mathematics and published more than 50 books.