Real analysis book reference












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What are the best books to self study real analysis? I am a physics masters student and am looking forward to study representation theory. I want to study the real analysis I need for studying functional analysis.










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    What are the best books to self study real analysis? I am a physics masters student and am looking forward to study representation theory. I want to study the real analysis I need for studying functional analysis.










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      What are the best books to self study real analysis? I am a physics masters student and am looking forward to study representation theory. I want to study the real analysis I need for studying functional analysis.










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      What are the best books to self study real analysis? I am a physics masters student and am looking forward to study representation theory. I want to study the real analysis I need for studying functional analysis.







      real-analysis book-recommendation






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      asked Dec 12 '18 at 15:12









      pinaki nayakpinaki nayak

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          For self-study, I strongly recommend Abbott's "Understanding Analysis". He does an excellent job of motivating the abstract concepts and introducing the frequently unintuitive behavior of infinite sets and processes.






          share|cite|improve this answer





















          • Any recommendations for functional analysis?
            – pinaki nayak
            Dec 12 '18 at 17:03










          • functional analysis (and other modern math topics) --- Introductory Functional Analysis with Applications by Erwin Kreyszig (1978) AND Introduction to Topology and Modern Analysis by George F. Simmons (1963) AND the books here AND Paul Roman's 2-volume work Some Modern Mathematics for Physicists and Other Outsiders Volume 1 contents.
            – Dave L. Renfro
            Dec 12 '18 at 19:51












          • We used Folland's "Real Analysis" in my graduate RA class, but I found that I wanted more of a Topology/Measure Theory background to really understand it. You might find some useful comments at this discussion: math.stackexchange.com/questions/3025828/…
            – Cassius12
            Dec 12 '18 at 21:29











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          1 Answer
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          1 Answer
          1






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          active

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          2














          For self-study, I strongly recommend Abbott's "Understanding Analysis". He does an excellent job of motivating the abstract concepts and introducing the frequently unintuitive behavior of infinite sets and processes.






          share|cite|improve this answer





















          • Any recommendations for functional analysis?
            – pinaki nayak
            Dec 12 '18 at 17:03










          • functional analysis (and other modern math topics) --- Introductory Functional Analysis with Applications by Erwin Kreyszig (1978) AND Introduction to Topology and Modern Analysis by George F. Simmons (1963) AND the books here AND Paul Roman's 2-volume work Some Modern Mathematics for Physicists and Other Outsiders Volume 1 contents.
            – Dave L. Renfro
            Dec 12 '18 at 19:51












          • We used Folland's "Real Analysis" in my graduate RA class, but I found that I wanted more of a Topology/Measure Theory background to really understand it. You might find some useful comments at this discussion: math.stackexchange.com/questions/3025828/…
            – Cassius12
            Dec 12 '18 at 21:29
















          2














          For self-study, I strongly recommend Abbott's "Understanding Analysis". He does an excellent job of motivating the abstract concepts and introducing the frequently unintuitive behavior of infinite sets and processes.






          share|cite|improve this answer





















          • Any recommendations for functional analysis?
            – pinaki nayak
            Dec 12 '18 at 17:03










          • functional analysis (and other modern math topics) --- Introductory Functional Analysis with Applications by Erwin Kreyszig (1978) AND Introduction to Topology and Modern Analysis by George F. Simmons (1963) AND the books here AND Paul Roman's 2-volume work Some Modern Mathematics for Physicists and Other Outsiders Volume 1 contents.
            – Dave L. Renfro
            Dec 12 '18 at 19:51












          • We used Folland's "Real Analysis" in my graduate RA class, but I found that I wanted more of a Topology/Measure Theory background to really understand it. You might find some useful comments at this discussion: math.stackexchange.com/questions/3025828/…
            – Cassius12
            Dec 12 '18 at 21:29














          2












          2








          2






          For self-study, I strongly recommend Abbott's "Understanding Analysis". He does an excellent job of motivating the abstract concepts and introducing the frequently unintuitive behavior of infinite sets and processes.






          share|cite|improve this answer












          For self-study, I strongly recommend Abbott's "Understanding Analysis". He does an excellent job of motivating the abstract concepts and introducing the frequently unintuitive behavior of infinite sets and processes.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Dec 12 '18 at 15:21









          Cassius12Cassius12

          11611




          11611












          • Any recommendations for functional analysis?
            – pinaki nayak
            Dec 12 '18 at 17:03










          • functional analysis (and other modern math topics) --- Introductory Functional Analysis with Applications by Erwin Kreyszig (1978) AND Introduction to Topology and Modern Analysis by George F. Simmons (1963) AND the books here AND Paul Roman's 2-volume work Some Modern Mathematics for Physicists and Other Outsiders Volume 1 contents.
            – Dave L. Renfro
            Dec 12 '18 at 19:51












          • We used Folland's "Real Analysis" in my graduate RA class, but I found that I wanted more of a Topology/Measure Theory background to really understand it. You might find some useful comments at this discussion: math.stackexchange.com/questions/3025828/…
            – Cassius12
            Dec 12 '18 at 21:29


















          • Any recommendations for functional analysis?
            – pinaki nayak
            Dec 12 '18 at 17:03










          • functional analysis (and other modern math topics) --- Introductory Functional Analysis with Applications by Erwin Kreyszig (1978) AND Introduction to Topology and Modern Analysis by George F. Simmons (1963) AND the books here AND Paul Roman's 2-volume work Some Modern Mathematics for Physicists and Other Outsiders Volume 1 contents.
            – Dave L. Renfro
            Dec 12 '18 at 19:51












          • We used Folland's "Real Analysis" in my graduate RA class, but I found that I wanted more of a Topology/Measure Theory background to really understand it. You might find some useful comments at this discussion: math.stackexchange.com/questions/3025828/…
            – Cassius12
            Dec 12 '18 at 21:29
















          Any recommendations for functional analysis?
          – pinaki nayak
          Dec 12 '18 at 17:03




          Any recommendations for functional analysis?
          – pinaki nayak
          Dec 12 '18 at 17:03












          functional analysis (and other modern math topics) --- Introductory Functional Analysis with Applications by Erwin Kreyszig (1978) AND Introduction to Topology and Modern Analysis by George F. Simmons (1963) AND the books here AND Paul Roman's 2-volume work Some Modern Mathematics for Physicists and Other Outsiders Volume 1 contents.
          – Dave L. Renfro
          Dec 12 '18 at 19:51






          functional analysis (and other modern math topics) --- Introductory Functional Analysis with Applications by Erwin Kreyszig (1978) AND Introduction to Topology and Modern Analysis by George F. Simmons (1963) AND the books here AND Paul Roman's 2-volume work Some Modern Mathematics for Physicists and Other Outsiders Volume 1 contents.
          – Dave L. Renfro
          Dec 12 '18 at 19:51














          We used Folland's "Real Analysis" in my graduate RA class, but I found that I wanted more of a Topology/Measure Theory background to really understand it. You might find some useful comments at this discussion: math.stackexchange.com/questions/3025828/…
          – Cassius12
          Dec 12 '18 at 21:29




          We used Folland's "Real Analysis" in my graduate RA class, but I found that I wanted more of a Topology/Measure Theory background to really understand it. You might find some useful comments at this discussion: math.stackexchange.com/questions/3025828/…
          – Cassius12
          Dec 12 '18 at 21:29


















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