Reference book for functional analysis.
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
add a comment |
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
1
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.
– pitariver
2 days ago
2
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.
– FJ.marsan
2 days ago
1
for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
– Masacroso
2 days ago
Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
– DisintegratingByParts
2 days ago
add a comment |
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
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 2 days ago
tonytony
317110
317110
1
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.
– pitariver
2 days ago
2
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.
– FJ.marsan
2 days ago
1
for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
– Masacroso
2 days ago
Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
– DisintegratingByParts
2 days ago
add a comment |
1
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.
– pitariver
2 days ago
2
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.
– FJ.marsan
2 days ago
1
for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
– Masacroso
2 days ago
Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
– DisintegratingByParts
2 days ago
1
1
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.
– pitariver
2 days ago
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.
– pitariver
2 days ago
2
2
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.
– FJ.marsan
2 days ago
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.
– FJ.marsan
2 days ago
1
1
for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
– Masacroso
2 days ago
for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
– Masacroso
2 days ago
Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
– DisintegratingByParts
2 days ago
Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
– DisintegratingByParts
2 days ago
add a comment |
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1
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.
– pitariver
2 days ago
2
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.
– FJ.marsan
2 days ago
1
for an introductory textbook take a look at the book of Ovchinnikov. For a deeper lecture I would choose the book of Brezis.
– Masacroso
2 days ago
Rudin wants to show you how clever he is. Reed and Simon try expose you to standard techniques and advanced material.
– DisintegratingByParts
2 days ago