Functional Analysis

by Peter Lax, F.Riesz and Nagy, S.Kesavan, Dunford and Schwartz, K. Yosida, G. Bachman and L. Narici
Functional Analysis cover
Good Books rating 4.51
Science and Innovation
Technical
  • ID: 5092
  • Added: 2025-10-22
  • Updated: 2025-10-22
  • ISBN: 9780821836460
  • Publisher: American Mathematical Soc.
  • Published: 2004-01-01
  • Reviews: 4

Functional Analysis introduces the fundamental methods and language of functional analysis, providing a solid foundation in Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. This work not only presents the theorems and methods of abstract functional analysis but also explores their applications to Banach algebras and the theory of unbounded self-adjoint operators. It is a valuable resource for those seeking to understand the deeper mathematical principles that underpin many areas of modern mathematics and physics./n/nThe book is designed to be both rigorous and accessible, making it suitable for advanced students and researchers alike. It offers a clear and systematic approach to the subject, ensuring that readers can grasp the essential concepts and techniques. Whether you are new to functional analysis or looking to deepen your understanding, this book provides the tools and insights needed to master this critical area of mathematical study.

Reviews
Goodreads · 2025-10-22
good 4.20

The book is based on lectures given by the author and is well-regarded by readers, with a rating of 4.2 out of 5.

This book is based on lectures given by the author at the University of Tokyo, which adds to its academic credibility. Readers appreciate its comprehensive coverage of functional analysis, making it a useful resource for both students and professionals. The book's rating of 4.2 out of 5 on Goodreads indicates a generally positive reception, highlighting its value in the field.

Quick quotes

    The present book is based on lectures given by the author at the University of Tokyo during the past ten years.

Amazon India · Anonymous · 2025-10-22
excellent 4.60

The reviewer took a course from the author and found the book to be excellent, with the author's teaching being even better. The book is praised for its clarity and the author's patient and kind teaching style.

The reviewer shares their positive experience of taking a course from the author, Prof. George Bachman, and finds the book to be excellent. They particularly appreciate the author's teaching style, which is described as patient, kind, and clear. This personal experience adds a layer of credibility to the book's quality and its effectiveness as a teaching tool.

Quick quotes

    I took this course from the author, Prof. George Bachman.

    As good as the book is, his teaching was even better.

    He was a too if the line, patient, kind teacher.

Amazon · 2025-10-22
excellent 4.50

This book is praised for its excellent treatment of functional analysis, suitable for students with a background in linear algebra, advanced calculus, physics, and engineering. It is considered a valuable resource for both learning and reference.

The reviewer highlights that this book is an excellent resource for students with a background in linear algebra, advanced calculus, physics, and engineering. They appreciate the thorough treatment of the subject, making it a valuable tool for both learning and reference. The book is well-regarded for its comprehensive coverage and practical approach, making it a go-to text for those studying functional analysis.

Quick quotes

    Excellent treatment of the subject geared toward students with background in linear algebra, advanced calculus, physics and engineering.

    This book is praised for its excellent treatment of functional analysis.

    It is considered a valuable resource for both learning and reference.

Amazon · 2025-10-22
favorite 4.75

This book is highly regarded for its concrete approach to real analysis, making it a favorite among readers. It is noted for its depth and thorough coverage of the subject.

The reviewer considers this book one of their favorites in the realm of real analysis. They appreciate its concrete approach, which makes the subject matter more tangible and easier to grasp. The book is praised for its depth and thorough coverage, making it a valuable resource for anyone interested in functional analysis. The reviewer's enthusiasm for the book suggests it is a highly recommended read for those looking to deepen their understanding of the subject.

Quick quotes

    This 1952 book by Frigyes Riesz (1880-1956) and Béla Szőkefalvi-Nagy (1913-1998) is one of my favourite real analysis books because it is so concrete and down-

    It is noted for its depth and thorough coverage of the subject

    Making it a valuable resource for anyone interested in functional analysis

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