Reference book for functional analysis.












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How does Rudin's Functional analysis compare with Reed and Simon's functional analysis. I am a beginner looking for a rigorous and broad text(for self study) and have narrowed it down to these two books. Can I get some insight into the advantages and disadvantages of these two books when compared with each other.










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$endgroup$








  • 1




    $begingroup$
    I am a big fan of Rudin's Real & Complex Analysis, but personally wouldn't recommend using Rudin's Functional Analysis as your main text, since he starts from TVS, which is too abstract. I would recommend a book that starts with Hilbert spaces and builds up from there.
    $endgroup$
    – pitariver
    Jan 5 at 16:38








  • 2




    $begingroup$
    If you are also interested in differential equations you could take a look at 'Functional analysisis, Sobolev Space and partial differential equations' by H. Brezis.
    $endgroup$
    – R. N. Marley
    Jan 5 at 16:41






  • 1




    $begingroup$
    for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
    $endgroup$
    – Masacroso
    Jan 5 at 17:14










  • $begingroup$
    Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
    $endgroup$
    – DisintegratingByParts
    Jan 5 at 18:44
















0












$begingroup$


How does Rudin's Functional analysis compare with Reed and Simon's functional analysis. I am a beginner looking for a rigorous and broad text(for self study) and have narrowed it down to these two books. Can I get some insight into the advantages and disadvantages of these two books when compared with each other.










share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    I am a big fan of Rudin's Real & Complex Analysis, but personally wouldn't recommend using Rudin's Functional Analysis as your main text, since he starts from TVS, which is too abstract. I would recommend a book that starts with Hilbert spaces and builds up from there.
    $endgroup$
    – pitariver
    Jan 5 at 16:38








  • 2




    $begingroup$
    If you are also interested in differential equations you could take a look at 'Functional analysisis, Sobolev Space and partial differential equations' by H. Brezis.
    $endgroup$
    – R. N. Marley
    Jan 5 at 16:41






  • 1




    $begingroup$
    for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
    $endgroup$
    – Masacroso
    Jan 5 at 17:14










  • $begingroup$
    Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
    $endgroup$
    – DisintegratingByParts
    Jan 5 at 18:44














0












0








0





$begingroup$


How does Rudin's Functional analysis compare with Reed and Simon's functional analysis. I am a beginner looking for a rigorous and broad text(for self study) and have narrowed it down to these two books. Can I get some insight into the advantages and disadvantages of these two books when compared with each other.










share|cite|improve this question









$endgroup$




How does Rudin's Functional analysis compare with Reed and Simon's functional analysis. I am a beginner looking for a rigorous and broad text(for self study) and have narrowed it down to these two books. Can I get some insight into the advantages and disadvantages of these two books when compared with each other.







functional-analysis reference-request soft-question






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asked Jan 5 at 16:09









tonytony

317210




317210








  • 1




    $begingroup$
    I am a big fan of Rudin's Real & Complex Analysis, but personally wouldn't recommend using Rudin's Functional Analysis as your main text, since he starts from TVS, which is too abstract. I would recommend a book that starts with Hilbert spaces and builds up from there.
    $endgroup$
    – pitariver
    Jan 5 at 16:38








  • 2




    $begingroup$
    If you are also interested in differential equations you could take a look at 'Functional analysisis, Sobolev Space and partial differential equations' by H. Brezis.
    $endgroup$
    – R. N. Marley
    Jan 5 at 16:41






  • 1




    $begingroup$
    for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
    $endgroup$
    – Masacroso
    Jan 5 at 17:14










  • $begingroup$
    Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
    $endgroup$
    – DisintegratingByParts
    Jan 5 at 18:44














  • 1




    $begingroup$
    I am a big fan of Rudin's Real & Complex Analysis, but personally wouldn't recommend using Rudin's Functional Analysis as your main text, since he starts from TVS, which is too abstract. I would recommend a book that starts with Hilbert spaces and builds up from there.
    $endgroup$
    – pitariver
    Jan 5 at 16:38








  • 2




    $begingroup$
    If you are also interested in differential equations you could take a look at 'Functional analysisis, Sobolev Space and partial differential equations' by H. Brezis.
    $endgroup$
    – R. N. Marley
    Jan 5 at 16:41






  • 1




    $begingroup$
    for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
    $endgroup$
    – Masacroso
    Jan 5 at 17:14










  • $begingroup$
    Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
    $endgroup$
    – DisintegratingByParts
    Jan 5 at 18:44








1




1




$begingroup$
I am a big fan of Rudin's Real & Complex Analysis, but personally wouldn't recommend using Rudin's Functional Analysis as your main text, since he starts from TVS, which is too abstract. I would recommend a book that starts with Hilbert spaces and builds up from there.
$endgroup$
– pitariver
Jan 5 at 16:38






$begingroup$
I am a big fan of Rudin's Real & Complex Analysis, but personally wouldn't recommend using Rudin's Functional Analysis as your main text, since he starts from TVS, which is too abstract. I would recommend a book that starts with Hilbert spaces and builds up from there.
$endgroup$
– pitariver
Jan 5 at 16:38






2




2




$begingroup$
If you are also interested in differential equations you could take a look at 'Functional analysisis, Sobolev Space and partial differential equations' by H. Brezis.
$endgroup$
– R. N. Marley
Jan 5 at 16:41




$begingroup$
If you are also interested in differential equations you could take a look at 'Functional analysisis, Sobolev Space and partial differential equations' by H. Brezis.
$endgroup$
– R. N. Marley
Jan 5 at 16:41




1




1




$begingroup$
for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
$endgroup$
– Masacroso
Jan 5 at 17:14




$begingroup$
for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
$endgroup$
– Masacroso
Jan 5 at 17:14












$begingroup$
Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
$endgroup$
– DisintegratingByParts
Jan 5 at 18:44




$begingroup$
Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
$endgroup$
– DisintegratingByParts
Jan 5 at 18:44










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