Introduction to Functional Analysis for Engineers

These Lecture Notes Introduction to Functional Analysis for Engineers arose from a (2+1)-hour course Functional Analysis at Munich University of Technology for an international group of engineering students. Its focus is on developing the mathematical tools and skills needed for investigating boundary value problems and the finite element method as well as on developing mathematical understanding and insight. In Part I of these lecture notes the basic concepts of Functional Analysis are developed. In Part II the treatment of boundary value problems is discussed. Appendix A.1 lists mathematical definitions which are assumed to be known in the main text, but were not known to some of the students. Appendix A.2 lists fifty homework problems. Appendix A.3 lists sample solutions to selected problems of Appendix A.2 and hints to some of the other ones. Introduction to Functional Analysis for Engineers Lectures by Rita Meyer-Spasche, Homework Problems and Sample Solutions by Christian Bauer, Anna Dall’Acqua and R. Meyer-Spasche Version of 30. November 2012 Technische Universitat Munchen 1in charge of the Exercises in WS 2005/2006; not a member of IPP 2in charge of the Exercises in WS 2006/2007; not a member of IPP

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