Linear and Nonlinear Functional Analysis with Applications By: Philippe G Ciarlet

Author: Philippe G. Ciarlet

Functional analysis occupies a central position in modern mathematics, and has powerful applications in many other branches of the subject. This book provides a thorough and self-contained introduction to the basic aspects of both linear and nonlinear functional analysis. Most of the major results are accompanied by complete proofs, and illustrated with a variety of applications to numerical analysis, optimisation theory, and partial differential equations. As well as covering a vast amount of foundational material, historical notes and many original references are included to help the reader explore the genesis of some important results. This book is intended for advanced undergraduates, graduate students, and researchers. With illustrations and over 400 problems, it is ideal for both teaching and self-study.

57M	Philippe G. Ciarlet - Linear and Nonlinear Functional Analysis with Applications-SIAM-Society for Industrial and Applied Mathematics (2013).pdf
57M	total