Functional analysis: an introduction

Functional analysis: an introduction cover
Good Books rating 3.97
Technical
  • ID: 5103
  • Added: 2025-10-22
  • Updated: 2025-10-22
  • Reviews: 3
Reviews
Google Sites · Francesco Cellarosi · 2025-10-22
fantastic 4.50

The book is one of the main reference texts for a course on functional analysis. It covers essential topics like Hilbert spaces and Fredholm theory.

This textbook is highly regarded as one of the main reference texts for a course on functional analysis. It covers a range of essential topics, including Hilbert spaces and Fredholm theory for compact operators. The book's comprehensive coverage makes it a valuable resource for students and educators alike. It's clear that the authors have put a lot of thought into making the material accessible and understandable.


Quick quotes

    This textbook provides an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, ...

    Three main reference texts for the Functional Analysis part of the course are: Functional Analysis: An Introduction by Yuli Eidelman, Vitali Milman, and Antonis ...

    The course will cover topics such as Banach and Hilbert spaces, spectral theory, and applications to integral and differential equations, following primarily the book by Eidelman, Milman, and Tsolomitis.

Amazon · 2025-10-22
excellent 4.40

This book is praised for its unique presentation of ideas, making it the best introductory functional analysis book. It offers a concrete viewpoint.

The unique way this book presents its ideas sets it apart as the best introductory text on functional analysis. It's not just theoretical; it offers a concrete viewpoint that helps readers grasp the concepts more effectively. This approach makes it an excellent choice for those new to the subject, providing a solid foundation for further study.


Quick quotes

    It is this unique presentation of ideas that makes this the best introductory functional book.

    Just because this book has a concrete viewpoint doesn't mean this ...

    4.4(3)

MathOverflow · 2011-08-09
good 3.00

The book is good but stays quite elementary. The author covers topics more deeply in other works.

This book is a solid introduction to functional analysis, but it remains quite elementary. It's a good starting point, especially for those new to the subject. However, readers looking for more advanced material might find it a bit basic. The author has written other books that delve deeper into the subject, which might be more suitable for those seeking a more comprehensive understanding.


Quick quotes

    It's a good book (I do have it at home), but it stays quite elementary

    the same author covers things more deeply in 'Functional Analysis, ...'

    I am an algebraist and not an analyst, however my favourite book on this area is 'Walter ...'