Principles of functional analysis

by Martin Schechter
Principles of functional analysis cover
Good Books rating 4.1
Science and Innovation
Technical
  • ID: 5104
  • Added: 2025-10-22
  • Updated: 2025-10-22
  • ISBN: 9780821828953
  • Publisher: American Mathematical Soc.
  • Published: 2001-11-13
  • Reviews: 3

Principles of Functional Analysis offers an elegant and inviting introduction to the subject, making it accessible to a wide range of students, including advanced undergraduates and beginning graduates. The book focuses on normed vector spaces, Banach spaces, and Hilbert spaces, with a clear and engaging exposition that follows the threads of ideas, ensuring a comprehensive understanding. The second edition includes new developments and topics such as Fredholm and semi-Fredholm operators, perturbation classes, and measures of noncompactness, making it a valuable resource for both pure and applied mathematicians.

Reviews
Celsius Elements · 2024-10-13
good 4.50

The review commends the book for its comprehensive coverage and practical exercises, making it a valuable resource. It is praised for its balance between theory and application.

This review from Celsius Elements highlights the book's strengths in providing a comprehensive overview of functional analysis. The reviewer appreciates the inclusion of practical exercises that help reinforce theoretical concepts. They note that the book strikes a good balance between abstract theory and real-world applications, making it suitable for both students and practitioners. The reviewer also mentions that the book's clear and concise explanations make it an excellent choice for those looking to refresh their knowledge.

Quick quotes

    It is a very nice read and has a good set of exercises.

    The book does not go too much into measure theory but covers all the other things you would expect.

    It's a good book, but it stays quite elementary.

Goodreads · 2002-06-01
intriguing 3.30

The reviewer finds the book to be a charming and well-motivated introduction to functional analysis. They appreciate the author's approach and the book's clarity.

This Goodreads review emphasizes the book's charming and well-motivated introduction to functional analysis. The reviewer appreciates the author's approach, which makes the subject accessible and engaging. They note that the book's clarity and depth make it a valuable resource for both beginners and those looking to deepen their understanding. The reviewer also highlights the book's effectiveness in motivating the study of functional analysis for its own sake, which adds a unique perspective.

Quick quotes

    Charming' is a word that seldom comes to the mind of a science reviewer, but if he is charmed by a treatise, why not say so?

    It is a beautiful subject that can be motivated and studied for its own sake.

    The author has made this introductory text both accessible and rigorous.

SIAM Review · John J. Sopka · 1972-10-01
brilliant 4.50

The reviewer praises the book's clarity and depth, noting its effectiveness as an introductory text. They appreciate the author's approach to motivating the subject.

In this review, John J. Sopka highlights the book's ability to clearly present complex concepts, making it accessible yet rigorous. They particularly appreciate the author's philosophy of studying the subject for its own sake, which adds a unique perspective. Sopka notes that the book is well-suited for those new to functional analysis, providing a solid foundation without overwhelming the reader. The reviewer also commends the inclusion of exercises and examples that enhance understanding.

Quick quotes

    "Charming' is a word that seldom comes to the mind of a science reviewer, but if he is charmed by a treatise, why not say so?"

    It is a beautiful subject that can be motivated and studied for its own sake.

    The author has made this introductory text both accessible and rigorous.

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