A First Course in Functional Analysis - (Dover Books on Mathematics) by Martin Davis (Paperback)

This book is a must-read for any mathematics major looking to gain a deeper understanding of functional analysis.

With its self-contained exposition of Gelfand's proof of Wiener's theorem, it covers set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and analytic functions into a Banach space.

The book is written in an accessible style, making it perfect for advanced undergraduates and graduate students.

The inclusion of numerous problems throughout the book adds to its value, allowing readers to test their understanding and apply their knowledge in practical situations.

With its authoritative and comprehensive approach, this book is a valuable resource for anyone looking to master functional analysis.