Applied Functional Analysis  (English, Hardcover, Siddiqui A.H.)

The area of functional analysis plays a central role in the technical sciences as the fundamental framework for modelling and analysis for a broad range of problems in classical disciplines and newer areas of interdisciplinary nature. The methods of functional analysis have helped solve diverse real-world problems in optimisation, modelling, analysis, numerical approximation and computer simulation. With a comprehensive presentation of functional analysis results surfacing repeatedly in scientific and technological applications, this book expertly presides over the most current analytical and numerical methods in infinite-dimensional spaces. It introduces recent results in wavelet and Gabor analysis as applied in partial differential equations and signal and image processing.The main objective of this book is to present all those results of functional analysis which have been frequently applied in emerging areas of science and technology. The book is self-contained and provides examples, updated references and application in diverse fields. The set problems are thought provoking and many lead to new results and applications.The book is intended to be a textbook for senior undergraduate and graduate students in mathematics. It will also be useful for an advanced course in systems engineering, computer engineering and management sciences.