Elements of the Theory of Functions and Functional Analysis

by Kolmogorov, Fomin
Elements of the Theory of Functions and Functional Analysis cover
Good Books rating 3.83
Technical
  • ID: 5094
  • Added: 2025-10-22
  • Updated: 2025-10-22
  • Reviews: 3
Reviews
Amazon · 2025-10-22
great 4.50

The book is based on courses and lectures given by the authors, making it a reliable resource. It is noted for its advanced-level content and comprehensive coverage.

This Amazon review emphasizes the book's origins in courses and lectures at Moscow State University, which lends it a sense of authority and reliability. The reviewer highlights its advanced-level content and comprehensive coverage of functional analysis. The book is seen as a valuable resource for those looking to delve deeply into the subject, although the advanced nature might make it less accessible to beginners.

Quick quotes

    Originally published in two volumes, this advanced-level text is based on courses and lectures given by the authors at Moscow State University and the Steklov Mathematical Institute.

    It is a comprehensive and reliable resource for advanced students.

    The book covers a wide range of topics in functional analysis.

Goodreads · 2025-10-22
good 4.00

This book is praised for its clear introduction to abstract concepts and well-motivated proofs. The exercises are noted as challenging but rewarding.

This review highlights the book's effectiveness as an introductory text, particularly in its ability to make abstract concepts accessible. The reviewer appreciates the well-structured proofs and the adequate motivation provided throughout the book. However, they mention that the exercises can be quite challenging, which might be a drawback for some readers. Overall, it's seen as a valuable resource for those looking to understand functional analysis.

Quick quotes

    Good introductory text; gives excellent examples of the abstract concepts introduced.

    The proofs are nice, and the motivation is adequate, but most exercises are quite challenging.

    This book is a great starting point for anyone interested in functional analysis.

MathOverflow · 2011-08-09
good 3.00

The book is considered good but elementary, suitable for beginners. It is noted that the same author has covered topics more deeply in other works.

This discussion on MathOverflow provides a balanced view of the book, describing it as good but somewhat elementary. The reviewer, who is an algebraist, appreciates the book's accessibility for beginners but suggests that those looking for a more in-depth treatment might want to explore other works by the same author. The sentiment is positive, but with the caveat that the book is not as advanced as some might hope.

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 Rudin's Functional Analysis'.

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