What are some good Fourier analysis books?












13














I have taken real analysis, but never learned Fourier analysis. What is a good book to get started? I'm not sure the Stein book would be good.










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  • 4




    Not a book but couldn't resist recommending:youtube.com/playlist?list=PL1780FAF4A29FE679
    – Inquest
    Feb 12 '12 at 17:36






  • 9




    An excellent book is "Fourier analysis" by T.W. Körner.
    – Andrés E. Caicedo
    Feb 12 '12 at 17:37










  • @AndresCaicedo: Is that the same as Exercises in Fourier Analysis?
    – Ross
    Feb 12 '12 at 17:52










  • No, the book on Exercises is a companion to the main text.
    – Andrés E. Caicedo
    Feb 12 '12 at 18:29






  • 1




    "Fourier Analysis" by Stein and Shakarchi is a lovely book. It may look like it is aimed at a lower level (it is supposed to be an introductory text to analysis) but the material covered there is incredibly broad and wonderfully treated.
    – Chris Janjigian
    Feb 12 '12 at 18:43
















13














I have taken real analysis, but never learned Fourier analysis. What is a good book to get started? I'm not sure the Stein book would be good.










share|cite|improve this question




















  • 4




    Not a book but couldn't resist recommending:youtube.com/playlist?list=PL1780FAF4A29FE679
    – Inquest
    Feb 12 '12 at 17:36






  • 9




    An excellent book is "Fourier analysis" by T.W. Körner.
    – Andrés E. Caicedo
    Feb 12 '12 at 17:37










  • @AndresCaicedo: Is that the same as Exercises in Fourier Analysis?
    – Ross
    Feb 12 '12 at 17:52










  • No, the book on Exercises is a companion to the main text.
    – Andrés E. Caicedo
    Feb 12 '12 at 18:29






  • 1




    "Fourier Analysis" by Stein and Shakarchi is a lovely book. It may look like it is aimed at a lower level (it is supposed to be an introductory text to analysis) but the material covered there is incredibly broad and wonderfully treated.
    – Chris Janjigian
    Feb 12 '12 at 18:43














13












13








13


5





I have taken real analysis, but never learned Fourier analysis. What is a good book to get started? I'm not sure the Stein book would be good.










share|cite|improve this question















I have taken real analysis, but never learned Fourier analysis. What is a good book to get started? I'm not sure the Stein book would be good.







reference-request soft-question fourier-analysis






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share|cite|improve this question













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edited Feb 12 '12 at 17:33


























community wiki





4 revs, 2 users 67%
Ross










  • 4




    Not a book but couldn't resist recommending:youtube.com/playlist?list=PL1780FAF4A29FE679
    – Inquest
    Feb 12 '12 at 17:36






  • 9




    An excellent book is "Fourier analysis" by T.W. Körner.
    – Andrés E. Caicedo
    Feb 12 '12 at 17:37










  • @AndresCaicedo: Is that the same as Exercises in Fourier Analysis?
    – Ross
    Feb 12 '12 at 17:52










  • No, the book on Exercises is a companion to the main text.
    – Andrés E. Caicedo
    Feb 12 '12 at 18:29






  • 1




    "Fourier Analysis" by Stein and Shakarchi is a lovely book. It may look like it is aimed at a lower level (it is supposed to be an introductory text to analysis) but the material covered there is incredibly broad and wonderfully treated.
    – Chris Janjigian
    Feb 12 '12 at 18:43














  • 4




    Not a book but couldn't resist recommending:youtube.com/playlist?list=PL1780FAF4A29FE679
    – Inquest
    Feb 12 '12 at 17:36






  • 9




    An excellent book is "Fourier analysis" by T.W. Körner.
    – Andrés E. Caicedo
    Feb 12 '12 at 17:37










  • @AndresCaicedo: Is that the same as Exercises in Fourier Analysis?
    – Ross
    Feb 12 '12 at 17:52










  • No, the book on Exercises is a companion to the main text.
    – Andrés E. Caicedo
    Feb 12 '12 at 18:29






  • 1




    "Fourier Analysis" by Stein and Shakarchi is a lovely book. It may look like it is aimed at a lower level (it is supposed to be an introductory text to analysis) but the material covered there is incredibly broad and wonderfully treated.
    – Chris Janjigian
    Feb 12 '12 at 18:43








4




4




Not a book but couldn't resist recommending:youtube.com/playlist?list=PL1780FAF4A29FE679
– Inquest
Feb 12 '12 at 17:36




Not a book but couldn't resist recommending:youtube.com/playlist?list=PL1780FAF4A29FE679
– Inquest
Feb 12 '12 at 17:36




9




9




An excellent book is "Fourier analysis" by T.W. Körner.
– Andrés E. Caicedo
Feb 12 '12 at 17:37




An excellent book is "Fourier analysis" by T.W. Körner.
– Andrés E. Caicedo
Feb 12 '12 at 17:37












@AndresCaicedo: Is that the same as Exercises in Fourier Analysis?
– Ross
Feb 12 '12 at 17:52




@AndresCaicedo: Is that the same as Exercises in Fourier Analysis?
– Ross
Feb 12 '12 at 17:52












No, the book on Exercises is a companion to the main text.
– Andrés E. Caicedo
Feb 12 '12 at 18:29




No, the book on Exercises is a companion to the main text.
– Andrés E. Caicedo
Feb 12 '12 at 18:29




1




1




"Fourier Analysis" by Stein and Shakarchi is a lovely book. It may look like it is aimed at a lower level (it is supposed to be an introductory text to analysis) but the material covered there is incredibly broad and wonderfully treated.
– Chris Janjigian
Feb 12 '12 at 18:43




"Fourier Analysis" by Stein and Shakarchi is a lovely book. It may look like it is aimed at a lower level (it is supposed to be an introductory text to analysis) but the material covered there is incredibly broad and wonderfully treated.
– Chris Janjigian
Feb 12 '12 at 18:43










6 Answers
6






active

oldest

votes


















2














Gerald Folland's book (amazon) is excellent.






share|cite|improve this answer































    2














    Dym & McKean's book Fourier Series and Integrals has a better collection of applications than most (I suspect?) books do. Physics, number theory, probability, isoperimetric problems, ..... lots of stuff.






    share|cite|improve this answer































      2














      "Fourier analysis" by T.W. Körner and its accompanied exercise book are the best.






      share|cite|improve this answer































        1














        A good place to start is Tolstov's little book on Fourier Analysis. It is published by Dover and it's inexpensive. There are nice problems.



        Here is the Amazon page for it. The Stein books are wonderful but they do demand a serious level of skill with analysis. This book is a good place for you to start.






        share|cite|improve this answer































          0














          I think that Folland's book deserves mention. Probably if you want to be thorough, you'll eventually read Dym McKean. Maybe Folland is easier at the start. Stein is not difficult, and it's very clear.






          share|cite|improve this answer































            -4














            please don't propose books that are impossible to find on internet, there are enough books and courses that are free to read on internet,



            and the scientifics that you are should understand it is a huge social progress that everyone can FREELY access to the scientific knowledge.



            look at any of the first links for :



            google / fourier transform pdf



            google / discrete fourier transform pdf



            google / distribution fourier transform pdf



            google / laplace transform pdf



            google / filter convolution pdf



            google / linear differential equation pdf



            but be careful, it can take ~ 5 to 10 years to fully study the subject, it is so vast






            share|cite|improve this answer























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              6 Answers
              6






              active

              oldest

              votes








              6 Answers
              6






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes









              2














              Gerald Folland's book (amazon) is excellent.






              share|cite|improve this answer




























                2














                Gerald Folland's book (amazon) is excellent.






                share|cite|improve this answer


























                  2












                  2








                  2






                  Gerald Folland's book (amazon) is excellent.






                  share|cite|improve this answer














                  Gerald Folland's book (amazon) is excellent.







                  share|cite|improve this answer














                  share|cite|improve this answer



                  share|cite|improve this answer








                  answered Feb 12 '12 at 17:47


























                  community wiki





                  bgins
























                      2














                      Dym & McKean's book Fourier Series and Integrals has a better collection of applications than most (I suspect?) books do. Physics, number theory, probability, isoperimetric problems, ..... lots of stuff.






                      share|cite|improve this answer




























                        2














                        Dym & McKean's book Fourier Series and Integrals has a better collection of applications than most (I suspect?) books do. Physics, number theory, probability, isoperimetric problems, ..... lots of stuff.






                        share|cite|improve this answer


























                          2












                          2








                          2






                          Dym & McKean's book Fourier Series and Integrals has a better collection of applications than most (I suspect?) books do. Physics, number theory, probability, isoperimetric problems, ..... lots of stuff.






                          share|cite|improve this answer














                          Dym & McKean's book Fourier Series and Integrals has a better collection of applications than most (I suspect?) books do. Physics, number theory, probability, isoperimetric problems, ..... lots of stuff.







                          share|cite|improve this answer














                          share|cite|improve this answer



                          share|cite|improve this answer








                          answered Feb 12 '12 at 19:25


























                          community wiki





                          Michael Hardy
























                              2














                              "Fourier analysis" by T.W. Körner and its accompanied exercise book are the best.






                              share|cite|improve this answer




























                                2














                                "Fourier analysis" by T.W. Körner and its accompanied exercise book are the best.






                                share|cite|improve this answer


























                                  2












                                  2








                                  2






                                  "Fourier analysis" by T.W. Körner and its accompanied exercise book are the best.






                                  share|cite|improve this answer














                                  "Fourier analysis" by T.W. Körner and its accompanied exercise book are the best.







                                  share|cite|improve this answer














                                  share|cite|improve this answer



                                  share|cite|improve this answer








                                  answered Dec 3 '15 at 19:49


























                                  community wiki





                                  O_huck
























                                      1














                                      A good place to start is Tolstov's little book on Fourier Analysis. It is published by Dover and it's inexpensive. There are nice problems.



                                      Here is the Amazon page for it. The Stein books are wonderful but they do demand a serious level of skill with analysis. This book is a good place for you to start.






                                      share|cite|improve this answer




























                                        1














                                        A good place to start is Tolstov's little book on Fourier Analysis. It is published by Dover and it's inexpensive. There are nice problems.



                                        Here is the Amazon page for it. The Stein books are wonderful but they do demand a serious level of skill with analysis. This book is a good place for you to start.






                                        share|cite|improve this answer


























                                          1












                                          1








                                          1






                                          A good place to start is Tolstov's little book on Fourier Analysis. It is published by Dover and it's inexpensive. There are nice problems.



                                          Here is the Amazon page for it. The Stein books are wonderful but they do demand a serious level of skill with analysis. This book is a good place for you to start.






                                          share|cite|improve this answer














                                          A good place to start is Tolstov's little book on Fourier Analysis. It is published by Dover and it's inexpensive. There are nice problems.



                                          Here is the Amazon page for it. The Stein books are wonderful but they do demand a serious level of skill with analysis. This book is a good place for you to start.







                                          share|cite|improve this answer














                                          share|cite|improve this answer



                                          share|cite|improve this answer








                                          answered Feb 12 '12 at 17:36


























                                          community wiki





                                          ncmathsadist
























                                              0














                                              I think that Folland's book deserves mention. Probably if you want to be thorough, you'll eventually read Dym McKean. Maybe Folland is easier at the start. Stein is not difficult, and it's very clear.






                                              share|cite|improve this answer




























                                                0














                                                I think that Folland's book deserves mention. Probably if you want to be thorough, you'll eventually read Dym McKean. Maybe Folland is easier at the start. Stein is not difficult, and it's very clear.






                                                share|cite|improve this answer


























                                                  0












                                                  0








                                                  0






                                                  I think that Folland's book deserves mention. Probably if you want to be thorough, you'll eventually read Dym McKean. Maybe Folland is easier at the start. Stein is not difficult, and it's very clear.






                                                  share|cite|improve this answer














                                                  I think that Folland's book deserves mention. Probably if you want to be thorough, you'll eventually read Dym McKean. Maybe Folland is easier at the start. Stein is not difficult, and it's very clear.







                                                  share|cite|improve this answer














                                                  share|cite|improve this answer



                                                  share|cite|improve this answer








                                                  answered Jan 20 '18 at 15:57


























                                                  community wiki





                                                  Jim
























                                                      -4














                                                      please don't propose books that are impossible to find on internet, there are enough books and courses that are free to read on internet,



                                                      and the scientifics that you are should understand it is a huge social progress that everyone can FREELY access to the scientific knowledge.



                                                      look at any of the first links for :



                                                      google / fourier transform pdf



                                                      google / discrete fourier transform pdf



                                                      google / distribution fourier transform pdf



                                                      google / laplace transform pdf



                                                      google / filter convolution pdf



                                                      google / linear differential equation pdf



                                                      but be careful, it can take ~ 5 to 10 years to fully study the subject, it is so vast






                                                      share|cite|improve this answer




























                                                        -4














                                                        please don't propose books that are impossible to find on internet, there are enough books and courses that are free to read on internet,



                                                        and the scientifics that you are should understand it is a huge social progress that everyone can FREELY access to the scientific knowledge.



                                                        look at any of the first links for :



                                                        google / fourier transform pdf



                                                        google / discrete fourier transform pdf



                                                        google / distribution fourier transform pdf



                                                        google / laplace transform pdf



                                                        google / filter convolution pdf



                                                        google / linear differential equation pdf



                                                        but be careful, it can take ~ 5 to 10 years to fully study the subject, it is so vast






                                                        share|cite|improve this answer


























                                                          -4












                                                          -4








                                                          -4






                                                          please don't propose books that are impossible to find on internet, there are enough books and courses that are free to read on internet,



                                                          and the scientifics that you are should understand it is a huge social progress that everyone can FREELY access to the scientific knowledge.



                                                          look at any of the first links for :



                                                          google / fourier transform pdf



                                                          google / discrete fourier transform pdf



                                                          google / distribution fourier transform pdf



                                                          google / laplace transform pdf



                                                          google / filter convolution pdf



                                                          google / linear differential equation pdf



                                                          but be careful, it can take ~ 5 to 10 years to fully study the subject, it is so vast






                                                          share|cite|improve this answer














                                                          please don't propose books that are impossible to find on internet, there are enough books and courses that are free to read on internet,



                                                          and the scientifics that you are should understand it is a huge social progress that everyone can FREELY access to the scientific knowledge.



                                                          look at any of the first links for :



                                                          google / fourier transform pdf



                                                          google / discrete fourier transform pdf



                                                          google / distribution fourier transform pdf



                                                          google / laplace transform pdf



                                                          google / filter convolution pdf



                                                          google / linear differential equation pdf



                                                          but be careful, it can take ~ 5 to 10 years to fully study the subject, it is so vast







                                                          share|cite|improve this answer














                                                          share|cite|improve this answer



                                                          share|cite|improve this answer








                                                          answered Aug 1 '15 at 22:12


























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