A powerful introduction to one of the most active areas of theoretical and applied mathematics

This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting, it emphasizes the development of the reader’s mathematical maturity and the ability to both understand and "do" mathematics. In so doing, Functional Analysis provides a strong springboard for further exploration on the wide range of topics the book presents, including:

• Weak topologies and applications
• Operators on Banach spaces
• Bases in Banach spaces
• Sequences, series, and geometry in Banach spaces

Stressing the general techniques underlying the proofs, Functional Analysis also features many exercises for immediate clarification of points under discussion. This thoughtful, well-organized synthesis of the work of those mathematicians who created the discipline of functional analysis as we know it today also provides a rich source of research topics and reference material.

Gilbert Gunn directs this 1950s British comedy starring Guy Rolfe, Michael Hordern, Ronald Shiner and Lionel Jeffries. The officers on board HMS Scotia are quick to seize the opportunity for a party when they moor off the French Riviera. They have an excuse, too - Captain Robert Randall (Richard Coleman) has just become engaged to Jill Eaton (Mary Steele), who joins him on the ship to celebrate along with her friends Mary Carlton (Anne Kimbell) and Antoinette (Nadine Tallier). However, when a problem with the shore boat leads to the girls spending the night on the ship, the officers are forced to try and conceal their presence when the formidable Admiral Hewitt (Hordern) arrives to inspect the vessel. Chaos duly ensues...