Calculus What are some books for learning the techniques of Calculus?

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SUMMARY

This discussion centers on recommended books for learning advanced techniques in Calculus, specifically focusing on problem-solving methods such as differentiation under the integral sign (Feynman's Technique) and L'Hôpital's Rule. Key texts mentioned include Spivak's Calculus, Stewart Calculus, Thomas Calculus, Gilbert Strang's Calculus, and Apostol's Calculus. Additionally, Prof. Terrence Tao's work is highlighted as an excellent resource for making complex material accessible. Participants emphasize the importance of understanding these techniques beyond standard academic teachings.

PREREQUISITES
  • Understanding of basic Calculus concepts
  • Familiarity with differentiation and integration techniques
  • Knowledge of L'Hôpital's Rule
  • Awareness of advanced mathematical literature
NEXT STEPS
  • Explore Prof. Terrence Tao's publications on advanced Calculus techniques
  • Research Feynman's Technique for differentiation under the integral sign
  • Study Apostol's Calculus for a rigorous approach to problem-solving
  • Investigate additional resources listed in the bibliographies of recommended texts
USEFUL FOR

Students, educators, and mathematics enthusiasts seeking to deepen their understanding of Calculus techniques and improve problem-solving skills.

Adesh
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We have so many great books available for Calculus, such as : Spivak's Calculus, Stewart Calculus, Thomas Calculus , Gilbert Strang's Calculus, Apostol's Calculus etc.
These books are very nice but they teach you the concepts well and all the standard techniques that are available for solving the Calculus problems. What I'm looking for is a book which focuses on some techniques for solving the problems, by this I mean techniques like those differentiation under integral sign (Feynman's Technique) (I want to add a little side note over here, somewhere I read that Feynman said that he got a book on calculus which taught that technique of differentiation under integral sign but his Professor never taught that technique and hence he was better at integration than his class fellows). One more technique which I can mention is L'Hopital's rule.
So, which book should I go for if I want to learn the kinds of techniques which I have mentioned above and of course many others assuming that my concepts are clear (I can say my concepts are clear only for academics otherwise there lies a whole philosophy of calculus to read about).
Thank you.
 
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My first calculus text was Strang's, and it included L'Hopital's Rule. It also included numerous bibliographic references to more advanced literature. And the math professor was a physicist. :cool:
 
sysprog said:
My first calculus text was Strang's, and it included L'Hopital's Rule. It also included numerous bibliographic references to more advanced literature. And the math professor was a physicist. :cool:
What’s your personal recommendation from those references listed there?
 
Click on the 'Books' link -- 17 books are listed there -- I liked the logic exposition in #10.
 
i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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