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.
functional-analysis reference-request soft-question
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add a comment |
$begingroup$
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.
functional-analysis reference-request soft-question
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1
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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.
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– pitariver
Jan 5 at 16:38
2
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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.
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– R. N. Marley
Jan 5 at 16:41
1
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for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
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– Masacroso
Jan 5 at 17:14
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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
add a comment |
$begingroup$
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.
functional-analysis reference-request soft-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
functional-analysis reference-request soft-question
asked Jan 5 at 16:09
tonytony
317210
317210
1
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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
add a comment |
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
add a comment |
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$begingroup$
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