Immerse In Linear And Nonlinear Functional Analysis With Applications: With 401 Problems And 52 Figures Assembled By Philippe G. Ciarlet Delivered In Digital Edition

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 selfcontained 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 overproblems, it is ideal for both teaching and selfstudy, .