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 amount of mathematics presented in the book can well be absorbed in a year's study and will provide a sound basis for future reading. It is suitable for graduate students and researchers interested in operator theory and functional analysis.

The TeX and LaTeX typesetting systems have become the de facto standard for preparing complex technical documents in print and electronic form. "Digital Typography Using LaTeX" collects together the most frequently required ¿how to¿ information and tools. The book describes recent developments in multilingual typesetting using TeX that make it easy for users to prepare documents in their own languages and alphabets. In addition, it demonstrates how to develop a single document for use in camera-ready copy, World Wide Web pages, and portable electronic documents. Topics & features: * An ¿all in one,¿ comprehensive introduction to TeX and LaTeX, suitable for both those new to, and experienced with, the TeX software program * Provides detailed description of TeX¿s and LaTeX¿s new multilingual features, as well as how to combine languages into a single document * Provides details for obtaining and installing popular versions of LaTeX and necessary utility programs and tools * CD-ROM includes extensive utility programs, tools, and demonstrations presented in the book * Covers areas of advanced typography, such as the addition of Postscript or TrueType fonts to a LaTeX installation, and how to work with graphic images * Describes advanced typesetting systems, including Omega, Lambda, pdfLaTeX, and epsilon-LaTeX All scientists, engineers, and technical professionals who use LaTeX will find this volume a rich source of methods and tools for their desktop publishing needs.