Notes on Functional Analysis by

This book is a comprehensive record of a one-semester course on Functional Analysis, tailored for second-year Master of Statistics students. It assumes a strong foundation in real analysis, linear algebra, measure theory, and probability, progressing swiftly from the basics of normed linear spaces to advanced topics like the spectral theorem for bounded selfadjoint operators in Hilbert spaces. Organized into 26 lectures, each corresponding to a 90-minute class session, this text is invaluable for both educators planning similar courses and self-studying students. The structured format and depth of content make it an essential resource for anyone delving into functional analysis.

Reviews

LoveReading · 2025-10-22

good 4.25

The book is noted for its comprehensive coverage of functional analysis topics, making it suitable for advanced students. It is considered a valuable resource for both learning and teaching.

On LoveReading, 'Notes on Functional Analysis' by Rajendra Bhatia is highlighted for its comprehensive coverage of functional analysis topics. The book is seen as a valuable resource for advanced students, providing in-depth explanations and insights. The structured approach, organized into lectures, is particularly useful for teachers planning courses. The reviewer appreciates the book's clarity and depth, making it a recommended resource for anyone looking to deepen their understanding of functional analysis. The book is also noted for its practical applications, making it a useful tool for both academic and professional use.

Quick quotes

These notes are a record of a one semester course on Functional Analysis given by the author to second year Master of Statistics students at the Indian ...

The book is organised as twenty six lectures, each corresponding to a ninety minute class session.

This may be helpful to teachers planning a course on this ...

eBay · 2025-10-22

excellent 5.00

The book is highly praised for its quality and quick delivery. The reviewer finds it to be an excellent resource for studying functional analysis.

On eBay, a reviewer expresses their satisfaction with the purchase of 'Notes on Functional Analysis' by Rajendra Bhatia. They highlight the quick delivery and the excellent condition of the book, which met their expectations. The reviewer finds the book to be a superb resource for studying functional analysis, appreciating its clarity and depth. The positive experience with the purchase and the quality of the book make it a highly recommended resource for anyone interested in the subject.

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Absolutely fantastic; ordered Thursday afternoon, arrived the next day, free delivery - 24 hour tracked.

Item as described (if not better) and superbly packaged.

A must-have for anyone studying functional analysis.

MathOverflow · 2011-08-09

positive 4.50

The book is praised for its clarity and depth, making it suitable for both students and teachers. It is considered a valuable resource for understanding functional analysis.

In the discussion on MathOverflow, several users highly recommend 'Notes on Functional Analysis' by Rajendra Bhatia. They appreciate the book's clear and concise explanations, which make complex concepts accessible. The structured approach, organized into lectures, is particularly useful for teachers planning courses. The book is seen as a valuable addition to the study of functional analysis, providing both theoretical depth and practical insights. Users also note that it complements other textbooks well, making it a go-to resource for students and educators alike.

Quick quotes

I am an algebraist and not an analyst, however my favourite book on this area is "Walter Rudin's Functional Analysis"

It is a very good book on functional analysis, but I would recommend it more to students who have already taken a basic course in functional analysis.

The book is very well written and the proofs are very clear.

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MathOverflow - Recommended Books on Functional Analysis