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Now showing items 1-10 of 10

    • Beyond infinity 

      Feinstein, Joel
      This popular maths talk gives an introduction to various different kinds of infinity, both countable and uncountable. These concepts are illustrated in a somewhat informal way using the notion of Hilbert's infinite hotel. ...
    • Definitions, proofs and examples 

      Feinstein, Joel
      During the academic year 2011-12, Dr Joel Feinstein gave five optional example classes to his second-year Mathematical Analysis students on Definitions, Proofs and Examples. Dr Feinstein recorded videos of these classes ...
    • Functional analysis 

      Feinstein, Joel
      As taught in 2006-2007 and 2007-2008. Functional analysis begins with a marriage of linear algebra and metric topology. These work together in a highly effective way to elucidate problems arising from differential ...
    • Functional analysis 2010 

      Feinstein, Joel
      This is a module framework. It can be viewed online or downloaded as a zip file. As taught Autumn semester 2010. Functional analysis begins with a marriage of linear algebra and metric topology. These work together ...
    • How and why we do mathematical proofs 

      Feinstein, Joel
      This is a module framework. It can be viewed online or downloaded as a zip file. As taught in Autumn Semester 2009/10 The aim of this short unit is to motivate students to understand why we might want to do proofs ...
    • Introduction to compact operators 

      Feinstein, Joel
      The aim of this session is to cover the basic theory of compact linear operators on Banach spaces. This includes definitions and statements of the background and main results, with illustrative examples and some ...
    • Mathematical analysis 

      Feinstein, Joel
      This is a module framework. It can be viewed online or downloaded as a zip file. It is as taught in 2009-2010. This module introduces mathematical analysis building upon the experience of limits of sequences and ...
    • Regularity conditions for Banach function algebras 

      Feinstein, Joel
      In June 2009 the Operator Algebras and Applications International Summer School was held in Lisbon. Dr Joel Feinstein taught one of the four courses available on Regularity conditions for Banach function algebras. He ...
    • Uniform convergence and pointwise convergence 

      Feinstein, Joel
      The aim of this material is to introduce the student to two notions of convergence for sequences of real-valued functions. The notion of pointwise convergence is relatively straightforward, but the notion of uniform ...
    • Why do we do proofs? 

      Feinstein, Joel
      The aim of this session is to motivate students to understand why we might want to do proofs, why proofs are important, and how they can help us. In particular, the student will learn the following: proofs can help you to ...