Best undergraduate calculus book?

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I'd like to know which are the best undergraduate calculus books for mathematicians. I'm looking for a complete and rigorous book that allows a Mathematics student to fully understand the undergraduate calculus courses.
Is there a better book than Spivak or Apostol ?
Which one do you think is the best ?






calculus







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    Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
    – Dave L. Renfro
    1 hour ago










  • Thank you very much Dave L. Renfro.
    – Ludwig Varg Lombardo
    1 hour ago















up vote
3
down vote

favorite
2












I'd like to know which are the best undergraduate calculus books for mathematicians. I'm looking for a complete and rigorous book that allows a Mathematics student to fully understand the undergraduate calculus courses.
Is there a better book than Spivak or Apostol ?
Which one do you think is the best ?






calculus







share|cite|improve this question







New contributor




Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.















  • 1




    Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
    – Dave L. Renfro
    1 hour ago










  • Thank you very much Dave L. Renfro.
    – Ludwig Varg Lombardo
    1 hour ago













up vote
3
down vote

favorite
2









up vote
3
down vote

favorite
2






2





I'd like to know which are the best undergraduate calculus books for mathematicians. I'm looking for a complete and rigorous book that allows a Mathematics student to fully understand the undergraduate calculus courses.
Is there a better book than Spivak or Apostol ?
Which one do you think is the best ?






calculus







share|cite|improve this question







New contributor




Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











I'd like to know which are the best undergraduate calculus books for mathematicians. I'm looking for a complete and rigorous book that allows a Mathematics student to fully understand the undergraduate calculus courses.
Is there a better book than Spivak or Apostol ?
Which one do you think is the best ?






calculus




calculus






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Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question







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Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




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asked 2 hours ago









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Check out our Code of Conduct.







  • 1




    Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
    – Dave L. Renfro
    1 hour ago










  • Thank you very much Dave L. Renfro.
    – Ludwig Varg Lombardo
    1 hour ago













  • 1




    Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
    – Dave L. Renfro
    1 hour ago










  • Thank you very much Dave L. Renfro.
    – Ludwig Varg Lombardo
    1 hour ago








1




1




Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
– Dave L. Renfro
1 hour ago




Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
– Dave L. Renfro
1 hour ago












Thank you very much Dave L. Renfro.
– Ludwig Varg Lombardo
1 hour ago





Thank you very much Dave L. Renfro.
– Ludwig Varg Lombardo
1 hour ago











3 Answers
3






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3
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Spivak is aimed at mathematicians, but most others are intended for a broad scientific audience. If you have already taken undergraduate calculus, then it might be time to graduate to an Advanced Calculus/Analysis text. Rosenlicht’s Introduction to Analysis is an approachable textbook.






share|cite|improve this answer
















  • 1




    I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
    – Joel
    2 hours ago

















up vote
2
down vote













If you’re going for a standard calculus book, it does not matter. If you’re looking to truly understand the material (at least as much as you can at this level), go for Spivak. It’s a classic, filled with good exercises, and is very challenging. If you work through Spivak at this stage, you’ll be miles ahead of most people. It’ll prepare you well for analysis too.






share|cite|improve this answer



























    up vote
    0
    down vote













    Calculus, 7th Edition by James Stewart
    the "one and only" classics






    share|cite|improve this answer








    New contributor




    user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.













    • 2




      I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
      – JDivision
      2 hours ago










    • @JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
      – user9976437
      1 hour ago







    • 1




      Stewart is far from rigorous.
      – Matematleta
      1 hour ago











    • Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
      – Ludwig Varg Lombardo
      51 mins ago










    Your Answer




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    3 Answers
    3






    active

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    3 Answers
    3






    active

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    active

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    active

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    up vote
    3
    down vote













    Spivak is aimed at mathematicians, but most others are intended for a broad scientific audience. If you have already taken undergraduate calculus, then it might be time to graduate to an Advanced Calculus/Analysis text. Rosenlicht’s Introduction to Analysis is an approachable textbook.






    share|cite|improve this answer
















    • 1




      I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
      – Joel
      2 hours ago














    up vote
    3
    down vote













    Spivak is aimed at mathematicians, but most others are intended for a broad scientific audience. If you have already taken undergraduate calculus, then it might be time to graduate to an Advanced Calculus/Analysis text. Rosenlicht’s Introduction to Analysis is an approachable textbook.






    share|cite|improve this answer
















    • 1




      I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
      – Joel
      2 hours ago












    up vote
    3
    down vote










    up vote
    3
    down vote









    Spivak is aimed at mathematicians, but most others are intended for a broad scientific audience. If you have already taken undergraduate calculus, then it might be time to graduate to an Advanced Calculus/Analysis text. Rosenlicht’s Introduction to Analysis is an approachable textbook.






    share|cite|improve this answer












    Spivak is aimed at mathematicians, but most others are intended for a broad scientific audience. If you have already taken undergraduate calculus, then it might be time to graduate to an Advanced Calculus/Analysis text. Rosenlicht’s Introduction to Analysis is an approachable textbook.







    share|cite|improve this answer












    share|cite|improve this answer



    share|cite|improve this answer










    answered 2 hours ago









    Joel

    14.2k12240




    14.2k12240







    • 1




      I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
      – Joel
      2 hours ago












    • 1




      I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
      – Joel
      2 hours ago







    1




    1




    I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
    – Joel
    2 hours ago




    I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
    – Joel
    2 hours ago










    up vote
    2
    down vote













    If you’re going for a standard calculus book, it does not matter. If you’re looking to truly understand the material (at least as much as you can at this level), go for Spivak. It’s a classic, filled with good exercises, and is very challenging. If you work through Spivak at this stage, you’ll be miles ahead of most people. It’ll prepare you well for analysis too.






    share|cite|improve this answer
























      up vote
      2
      down vote













      If you’re going for a standard calculus book, it does not matter. If you’re looking to truly understand the material (at least as much as you can at this level), go for Spivak. It’s a classic, filled with good exercises, and is very challenging. If you work through Spivak at this stage, you’ll be miles ahead of most people. It’ll prepare you well for analysis too.






      share|cite|improve this answer






















        up vote
        2
        down vote










        up vote
        2
        down vote









        If you’re going for a standard calculus book, it does not matter. If you’re looking to truly understand the material (at least as much as you can at this level), go for Spivak. It’s a classic, filled with good exercises, and is very challenging. If you work through Spivak at this stage, you’ll be miles ahead of most people. It’ll prepare you well for analysis too.






        share|cite|improve this answer












        If you’re going for a standard calculus book, it does not matter. If you’re looking to truly understand the material (at least as much as you can at this level), go for Spivak. It’s a classic, filled with good exercises, and is very challenging. If you work through Spivak at this stage, you’ll be miles ahead of most people. It’ll prepare you well for analysis too.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered 2 hours ago









        JDivision

        907




        907




















            up vote
            0
            down vote













            Calculus, 7th Edition by James Stewart
            the "one and only" classics






            share|cite|improve this answer








            New contributor




            user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.













            • 2




              I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
              – JDivision
              2 hours ago










            • @JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
              – user9976437
              1 hour ago







            • 1




              Stewart is far from rigorous.
              – Matematleta
              1 hour ago











            • Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
              – Ludwig Varg Lombardo
              51 mins ago














            up vote
            0
            down vote













            Calculus, 7th Edition by James Stewart
            the "one and only" classics






            share|cite|improve this answer








            New contributor




            user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.













            • 2




              I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
              – JDivision
              2 hours ago










            • @JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
              – user9976437
              1 hour ago







            • 1




              Stewart is far from rigorous.
              – Matematleta
              1 hour ago











            • Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
              – Ludwig Varg Lombardo
              51 mins ago












            up vote
            0
            down vote










            up vote
            0
            down vote









            Calculus, 7th Edition by James Stewart
            the "one and only" classics






            share|cite|improve this answer








            New contributor




            user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.









            Calculus, 7th Edition by James Stewart
            the "one and only" classics







            share|cite|improve this answer








            New contributor




            user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.









            share|cite|improve this answer



            share|cite|improve this answer






            New contributor




            user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.









            answered 2 hours ago









            user9976437

            212




            212




            New contributor




            user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.





            New contributor





            user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.






            user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.







            • 2




              I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
              – JDivision
              2 hours ago










            • @JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
              – user9976437
              1 hour ago







            • 1




              Stewart is far from rigorous.
              – Matematleta
              1 hour ago











            • Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
              – Ludwig Varg Lombardo
              51 mins ago












            • 2




              I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
              – JDivision
              2 hours ago










            • @JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
              – user9976437
              1 hour ago







            • 1




              Stewart is far from rigorous.
              – Matematleta
              1 hour ago











            • Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
              – Ludwig Varg Lombardo
              51 mins ago







            2




            2




            I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
            – JDivision
            2 hours ago




            I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
            – JDivision
            2 hours ago












            @JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
            – user9976437
            1 hour ago





            @JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
            – user9976437
            1 hour ago





            1




            1




            Stewart is far from rigorous.
            – Matematleta
            1 hour ago





            Stewart is far from rigorous.
            – Matematleta
            1 hour ago













            Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
            – Ludwig Varg Lombardo
            51 mins ago




            Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
            – Ludwig Varg Lombardo
            51 mins ago










            Ludwig Varg Lombardo is a new contributor. Be nice, and check out our Code of Conduct.









             

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            Ludwig Varg Lombardo is a new contributor. Be nice, and check out our Code of Conduct.













             


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