Notices of the American Mathematical Society

This textbook provides an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded self-adjoint operators. The text corresponds to material for two semester courses (Part I and Part II, respectively) and is essentially self-contained. Prerequisites for the first part are minimal amounts of linear algebra and calculus. For the second part, some knowledge of topology and measure theory is recommended. Each of the 11 chapters is followed by numerous exercises, with solutions given at the end of the book. The text is ideal for a one-year course. It will also provide a sound basis for further study. It is suitable for graduate students and researchers interested in operator theory and functional analysis. December 2015, Front Cover WebAssign Opinion 2016 Mathematics Research Community December 2015, Table of Contents Puzzling the 120-Cell, Saul Schleimer and Henry Segerman MathSciNet for Developing Countries William P. Thurston, 1946-2012, David Gabai, Steve Kerckhoff Who Wants to be a Mathematician 2016 National Contest The Work of the 2014 Fields Medalists, Welington de Melo, Bjorn Poonen, Jeremy Quastel, and Anton Zorich Creating Symmetry: The Artful Mathematics of Wallpaper Pattners, Reviewed by James S. Walker Call for Applicants, Executive Director Frank Morgan Appointed Notices Editor-in-Chief, Elaine Kehoe Report of the Executive Director: State of the AMS, 2014 Professor Stewart's Casebook of Mathematical Mysteries, Reviewed by Sam Vandervelde Doceamus: Mathematics in the Yates Program at Illinois College, Jeremy F. Alm and Andrew B. Jones Tsinghua University/Tsinghua Sanya International The Closing of IMA and MBI, Nilima Nigam 100 Years of MAA DMS Mathematical Sciences Research Institutes Update, Michael Vogelius and Henry Warchall Call for Applications, Mathematical Reiviews/MathSciNet Associate Editor Hans Schneider, 1927-2014, Richard A. Brualdi For Your Information Inside the AMS Mathematics Opportunities Mathematics People About the Cover Reference and Book List Mathematics Calendar New Publications Offered by the AMS Classified Advertisements Meetings & Converences of the AMS Meetings and Conferences Table of Contents The 2015 Notices Index 2016 JMM Advance Registration/Housing Form 2016 AMS Employment Center Works by Barry Simon