Linear Functional Analysis: An Application-Oriented Introduction: 2016

THIS BOOK GIVES AN INTRODUCTION TO LINEAR FUNCTIONAL ANALYSIS, WHICH IS A SYNTHESIS OF ALGEBRA, TOPOLOGY, AND ANALYSIS. IN ADDITION TO THE BASIC THEORY&NBSP;IT EXPLAINS OPERATOR THEORY, DISTRIBUTIONS, SOBOLEV SPACES, AND MANY OTHER THINGS. THE TEXT IS SELF-CONTAINED AND INCLUDES ALL PROOFS, AS WELL AS MANY EXERCISES, MOST OF THEM WITH SOLUTIONS. MOREOVER, THERE ARE A NUMBER OF APPENDICES, FOR EXAMPLE ON LEBESGUE INTEGRATION THEORY.<DIV><I><BR></I></DIV><DIV>A COMPLETE INTRODUCTION TO THE SUBJECT,&NBSP;<I>LINEAR FUNCTIONAL ANALYSIS</I>&NBSP;WILL BE PARTICULARLY USEFUL TO READERS WHO WANT TO QUICKLY GET TO THE KEY STATEMENTS AND WHO ARE INTERESTED IN APPLICATIONS TO DIFFERENTIAL EQUATIONS.</DIV>