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Calculus Books, preferably Soviet.


Need an Algebra 2/Precalculus text to prepare for CalculusInsightful books on differential equations?How important is the choice of books in studying Analysis?Searching for a book that can fulfill the **prerequisites** to learn measure and integration theory






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








4












$begingroup$


I would like some book recommendations on calculus books for novices. I love old Russian texts and if you you suggest such books(no issue if they are rigorous), I would be very grateful. If the text is quite challenging, I have no problem. But it should be interesting with proper exposition of topics.



Edit: The book should be good for self-study, preferably a textbook(again, for beginners). And it's not necessary for it to be Soviet. Just anything good. I merely like Soviet/Slavic books and so, the title.



Thanks to you all.










share|cite|improve this question











$endgroup$













  • $begingroup$
    It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
    $endgroup$
    – Michael
    9 hours ago











  • $begingroup$
    I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
    $endgroup$
    – Matthew Leingang
    9 hours ago











  • $begingroup$
    Do you mean written in Russian or in English by a Russian author ?
    $endgroup$
    – Mauro ALLEGRANZA
    9 hours ago










  • $begingroup$
    If an intro to Integration and Differentiation are provided, why not.
    $endgroup$
    – Sen47
    9 hours ago






  • 1




    $begingroup$
    Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
    $endgroup$
    – Mauro ALLEGRANZA
    8 hours ago

















4












$begingroup$


I would like some book recommendations on calculus books for novices. I love old Russian texts and if you you suggest such books(no issue if they are rigorous), I would be very grateful. If the text is quite challenging, I have no problem. But it should be interesting with proper exposition of topics.



Edit: The book should be good for self-study, preferably a textbook(again, for beginners). And it's not necessary for it to be Soviet. Just anything good. I merely like Soviet/Slavic books and so, the title.



Thanks to you all.










share|cite|improve this question











$endgroup$













  • $begingroup$
    It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
    $endgroup$
    – Michael
    9 hours ago











  • $begingroup$
    I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
    $endgroup$
    – Matthew Leingang
    9 hours ago











  • $begingroup$
    Do you mean written in Russian or in English by a Russian author ?
    $endgroup$
    – Mauro ALLEGRANZA
    9 hours ago










  • $begingroup$
    If an intro to Integration and Differentiation are provided, why not.
    $endgroup$
    – Sen47
    9 hours ago






  • 1




    $begingroup$
    Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
    $endgroup$
    – Mauro ALLEGRANZA
    8 hours ago













4












4








4


1



$begingroup$


I would like some book recommendations on calculus books for novices. I love old Russian texts and if you you suggest such books(no issue if they are rigorous), I would be very grateful. If the text is quite challenging, I have no problem. But it should be interesting with proper exposition of topics.



Edit: The book should be good for self-study, preferably a textbook(again, for beginners). And it's not necessary for it to be Soviet. Just anything good. I merely like Soviet/Slavic books and so, the title.



Thanks to you all.










share|cite|improve this question











$endgroup$




I would like some book recommendations on calculus books for novices. I love old Russian texts and if you you suggest such books(no issue if they are rigorous), I would be very grateful. If the text is quite challenging, I have no problem. But it should be interesting with proper exposition of topics.



Edit: The book should be good for self-study, preferably a textbook(again, for beginners). And it's not necessary for it to be Soviet. Just anything good. I merely like Soviet/Slavic books and so, the title.



Thanks to you all.







calculus soft-question book-recommendation






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 8 hours ago







Sen47

















asked 9 hours ago









Sen47Sen47

1278 bronze badges




1278 bronze badges














  • $begingroup$
    It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
    $endgroup$
    – Michael
    9 hours ago











  • $begingroup$
    I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
    $endgroup$
    – Matthew Leingang
    9 hours ago











  • $begingroup$
    Do you mean written in Russian or in English by a Russian author ?
    $endgroup$
    – Mauro ALLEGRANZA
    9 hours ago










  • $begingroup$
    If an intro to Integration and Differentiation are provided, why not.
    $endgroup$
    – Sen47
    9 hours ago






  • 1




    $begingroup$
    Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
    $endgroup$
    – Mauro ALLEGRANZA
    8 hours ago
















  • $begingroup$
    It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
    $endgroup$
    – Michael
    9 hours ago











  • $begingroup$
    I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
    $endgroup$
    – Matthew Leingang
    9 hours ago











  • $begingroup$
    Do you mean written in Russian or in English by a Russian author ?
    $endgroup$
    – Mauro ALLEGRANZA
    9 hours ago










  • $begingroup$
    If an intro to Integration and Differentiation are provided, why not.
    $endgroup$
    – Sen47
    9 hours ago






  • 1




    $begingroup$
    Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
    $endgroup$
    – Mauro ALLEGRANZA
    8 hours ago















$begingroup$
It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
$endgroup$
– Michael
9 hours ago





$begingroup$
It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
$endgroup$
– Michael
9 hours ago













$begingroup$
I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
$endgroup$
– Matthew Leingang
9 hours ago





$begingroup$
I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
$endgroup$
– Matthew Leingang
9 hours ago













$begingroup$
Do you mean written in Russian or in English by a Russian author ?
$endgroup$
– Mauro ALLEGRANZA
9 hours ago




$begingroup$
Do you mean written in Russian or in English by a Russian author ?
$endgroup$
– Mauro ALLEGRANZA
9 hours ago












$begingroup$
If an intro to Integration and Differentiation are provided, why not.
$endgroup$
– Sen47
9 hours ago




$begingroup$
If an intro to Integration and Differentiation are provided, why not.
$endgroup$
– Sen47
9 hours ago




1




1




$begingroup$
Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
$endgroup$
– Mauro ALLEGRANZA
8 hours ago




$begingroup$
Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
$endgroup$
– Mauro ALLEGRANZA
8 hours ago










4 Answers
4






active

oldest

votes


















2













$begingroup$

A (possibly the) standard classic is:
Г. Фихтенгольц. Курс дифференциального и интегрального исчисления.



I personally like very much the following two courses:



Л. Кудрявцев. Курс математического анализа
(there are several editions of, in fact, two related courses - a shorter one of two books, and a longer one of three books);



V. Zorich: Mathematical Analysis
(the best existing MA course in opinion of V. Arnold).






share|cite|improve this answer









$endgroup$






















    2













    $begingroup$

    I would like to recommend "Problems in Mathematical Analysis Hardcover" – 1989
    by Boris Demidovich (Editor), G. Yankovsky (Translator). This is a wonderful problem book which has lots of challenging problems. Another wonderful book is "Differential and integral calculus" by Grigorii Mikhailovich Fichtenholz.






    share|cite|improve this answer











    $endgroup$














    • $begingroup$
      Anything for theory building?
      $endgroup$
      – Sen47
      8 hours ago










    • $begingroup$
      There are concepts, formulas, and theorems before problems in each chapter.
      $endgroup$
      – xpaul
      8 hours ago











    • $begingroup$
      Thanks, upvoted.
      $endgroup$
      – Sen47
      8 hours ago










    • $begingroup$
      @Sen47, see the update.
      $endgroup$
      – xpaul
      7 hours ago










    • $begingroup$
      Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
      $endgroup$
      – Sen47
      7 hours ago


















    2













    $begingroup$

    I'd like to suggest 'Introductory real Analysis' and 'Elements of the Theory of Functions and Functional Analysis ' both by A.N.Kolmogorov






    share|cite|improve this answer









    $endgroup$














    • $begingroup$
      Sir, they seem to be too advanced for me...
      $endgroup$
      – Sen47
      1 hour ago


















    0













    $begingroup$

    By Grigorii Mikhailovich Fichtenholz there is also " TheFundamentals of Mathematical Analysis"






    share|cite|improve this answer









    $endgroup$

















      Your Answer








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      4 Answers
      4






      active

      oldest

      votes








      4 Answers
      4






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      2













      $begingroup$

      A (possibly the) standard classic is:
      Г. Фихтенгольц. Курс дифференциального и интегрального исчисления.



      I personally like very much the following two courses:



      Л. Кудрявцев. Курс математического анализа
      (there are several editions of, in fact, two related courses - a shorter one of two books, and a longer one of three books);



      V. Zorich: Mathematical Analysis
      (the best existing MA course in opinion of V. Arnold).






      share|cite|improve this answer









      $endgroup$



















        2













        $begingroup$

        A (possibly the) standard classic is:
        Г. Фихтенгольц. Курс дифференциального и интегрального исчисления.



        I personally like very much the following two courses:



        Л. Кудрявцев. Курс математического анализа
        (there are several editions of, in fact, two related courses - a shorter one of two books, and a longer one of three books);



        V. Zorich: Mathematical Analysis
        (the best existing MA course in opinion of V. Arnold).






        share|cite|improve this answer









        $endgroup$

















          2














          2










          2







          $begingroup$

          A (possibly the) standard classic is:
          Г. Фихтенгольц. Курс дифференциального и интегрального исчисления.



          I personally like very much the following two courses:



          Л. Кудрявцев. Курс математического анализа
          (there are several editions of, in fact, two related courses - a shorter one of two books, and a longer one of three books);



          V. Zorich: Mathematical Analysis
          (the best existing MA course in opinion of V. Arnold).






          share|cite|improve this answer









          $endgroup$



          A (possibly the) standard classic is:
          Г. Фихтенгольц. Курс дифференциального и интегрального исчисления.



          I personally like very much the following two courses:



          Л. Кудрявцев. Курс математического анализа
          (there are several editions of, in fact, two related courses - a shorter one of two books, and a longer one of three books);



          V. Zorich: Mathematical Analysis
          (the best existing MA course in opinion of V. Arnold).







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered 8 hours ago









          Roman HricRoman Hric

          3411 silver badge5 bronze badges




          3411 silver badge5 bronze badges


























              2













              $begingroup$

              I would like to recommend "Problems in Mathematical Analysis Hardcover" – 1989
              by Boris Demidovich (Editor), G. Yankovsky (Translator). This is a wonderful problem book which has lots of challenging problems. Another wonderful book is "Differential and integral calculus" by Grigorii Mikhailovich Fichtenholz.






              share|cite|improve this answer











              $endgroup$














              • $begingroup$
                Anything for theory building?
                $endgroup$
                – Sen47
                8 hours ago










              • $begingroup$
                There are concepts, formulas, and theorems before problems in each chapter.
                $endgroup$
                – xpaul
                8 hours ago











              • $begingroup$
                Thanks, upvoted.
                $endgroup$
                – Sen47
                8 hours ago










              • $begingroup$
                @Sen47, see the update.
                $endgroup$
                – xpaul
                7 hours ago










              • $begingroup$
                Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
                $endgroup$
                – Sen47
                7 hours ago















              2













              $begingroup$

              I would like to recommend "Problems in Mathematical Analysis Hardcover" – 1989
              by Boris Demidovich (Editor), G. Yankovsky (Translator). This is a wonderful problem book which has lots of challenging problems. Another wonderful book is "Differential and integral calculus" by Grigorii Mikhailovich Fichtenholz.






              share|cite|improve this answer











              $endgroup$














              • $begingroup$
                Anything for theory building?
                $endgroup$
                – Sen47
                8 hours ago










              • $begingroup$
                There are concepts, formulas, and theorems before problems in each chapter.
                $endgroup$
                – xpaul
                8 hours ago











              • $begingroup$
                Thanks, upvoted.
                $endgroup$
                – Sen47
                8 hours ago










              • $begingroup$
                @Sen47, see the update.
                $endgroup$
                – xpaul
                7 hours ago










              • $begingroup$
                Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
                $endgroup$
                – Sen47
                7 hours ago













              2














              2










              2







              $begingroup$

              I would like to recommend "Problems in Mathematical Analysis Hardcover" – 1989
              by Boris Demidovich (Editor), G. Yankovsky (Translator). This is a wonderful problem book which has lots of challenging problems. Another wonderful book is "Differential and integral calculus" by Grigorii Mikhailovich Fichtenholz.






              share|cite|improve this answer











              $endgroup$



              I would like to recommend "Problems in Mathematical Analysis Hardcover" – 1989
              by Boris Demidovich (Editor), G. Yankovsky (Translator). This is a wonderful problem book which has lots of challenging problems. Another wonderful book is "Differential and integral calculus" by Grigorii Mikhailovich Fichtenholz.







              share|cite|improve this answer














              share|cite|improve this answer



              share|cite|improve this answer








              edited 7 hours ago

























              answered 8 hours ago









              xpaulxpaul

              24.6k2 gold badges47 silver badges59 bronze badges




              24.6k2 gold badges47 silver badges59 bronze badges














              • $begingroup$
                Anything for theory building?
                $endgroup$
                – Sen47
                8 hours ago










              • $begingroup$
                There are concepts, formulas, and theorems before problems in each chapter.
                $endgroup$
                – xpaul
                8 hours ago











              • $begingroup$
                Thanks, upvoted.
                $endgroup$
                – Sen47
                8 hours ago










              • $begingroup$
                @Sen47, see the update.
                $endgroup$
                – xpaul
                7 hours ago










              • $begingroup$
                Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
                $endgroup$
                – Sen47
                7 hours ago
















              • $begingroup$
                Anything for theory building?
                $endgroup$
                – Sen47
                8 hours ago










              • $begingroup$
                There are concepts, formulas, and theorems before problems in each chapter.
                $endgroup$
                – xpaul
                8 hours ago











              • $begingroup$
                Thanks, upvoted.
                $endgroup$
                – Sen47
                8 hours ago










              • $begingroup$
                @Sen47, see the update.
                $endgroup$
                – xpaul
                7 hours ago










              • $begingroup$
                Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
                $endgroup$
                – Sen47
                7 hours ago















              $begingroup$
              Anything for theory building?
              $endgroup$
              – Sen47
              8 hours ago




              $begingroup$
              Anything for theory building?
              $endgroup$
              – Sen47
              8 hours ago












              $begingroup$
              There are concepts, formulas, and theorems before problems in each chapter.
              $endgroup$
              – xpaul
              8 hours ago





              $begingroup$
              There are concepts, formulas, and theorems before problems in each chapter.
              $endgroup$
              – xpaul
              8 hours ago













              $begingroup$
              Thanks, upvoted.
              $endgroup$
              – Sen47
              8 hours ago




              $begingroup$
              Thanks, upvoted.
              $endgroup$
              – Sen47
              8 hours ago












              $begingroup$
              @Sen47, see the update.
              $endgroup$
              – xpaul
              7 hours ago




              $begingroup$
              @Sen47, see the update.
              $endgroup$
              – xpaul
              7 hours ago












              $begingroup$
              Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
              $endgroup$
              – Sen47
              7 hours ago




              $begingroup$
              Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
              $endgroup$
              – Sen47
              7 hours ago











              2













              $begingroup$

              I'd like to suggest 'Introductory real Analysis' and 'Elements of the Theory of Functions and Functional Analysis ' both by A.N.Kolmogorov






              share|cite|improve this answer









              $endgroup$














              • $begingroup$
                Sir, they seem to be too advanced for me...
                $endgroup$
                – Sen47
                1 hour ago















              2













              $begingroup$

              I'd like to suggest 'Introductory real Analysis' and 'Elements of the Theory of Functions and Functional Analysis ' both by A.N.Kolmogorov






              share|cite|improve this answer









              $endgroup$














              • $begingroup$
                Sir, they seem to be too advanced for me...
                $endgroup$
                – Sen47
                1 hour ago













              2














              2










              2







              $begingroup$

              I'd like to suggest 'Introductory real Analysis' and 'Elements of the Theory of Functions and Functional Analysis ' both by A.N.Kolmogorov






              share|cite|improve this answer









              $endgroup$



              I'd like to suggest 'Introductory real Analysis' and 'Elements of the Theory of Functions and Functional Analysis ' both by A.N.Kolmogorov







              share|cite|improve this answer












              share|cite|improve this answer



              share|cite|improve this answer










              answered 7 hours ago









              Amit AkoskarAmit Akoskar

              1248 bronze badges




              1248 bronze badges














              • $begingroup$
                Sir, they seem to be too advanced for me...
                $endgroup$
                – Sen47
                1 hour ago
















              • $begingroup$
                Sir, they seem to be too advanced for me...
                $endgroup$
                – Sen47
                1 hour ago















              $begingroup$
              Sir, they seem to be too advanced for me...
              $endgroup$
              – Sen47
              1 hour ago




              $begingroup$
              Sir, they seem to be too advanced for me...
              $endgroup$
              – Sen47
              1 hour ago











              0













              $begingroup$

              By Grigorii Mikhailovich Fichtenholz there is also " TheFundamentals of Mathematical Analysis"






              share|cite|improve this answer









              $endgroup$



















                0













                $begingroup$

                By Grigorii Mikhailovich Fichtenholz there is also " TheFundamentals of Mathematical Analysis"






                share|cite|improve this answer









                $endgroup$

















                  0














                  0










                  0







                  $begingroup$

                  By Grigorii Mikhailovich Fichtenholz there is also " TheFundamentals of Mathematical Analysis"






                  share|cite|improve this answer









                  $endgroup$



                  By Grigorii Mikhailovich Fichtenholz there is also " TheFundamentals of Mathematical Analysis"







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered 5 hours ago









                  Luca Goldoni Ph.D.Luca Goldoni Ph.D.

                  3111 silver badge4 bronze badges




                  3111 silver badge4 bronze badges






























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