A good book on Calculus to clear the concepts

  • Context: Calculus 
  • Thread starter Thread starter Shafia Zahin
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    Book Calculus Concepts
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Discussion Overview

The discussion revolves around recommendations for calculus textbooks aimed at helping individuals clarify their understanding of differentiation and integration. Participants share their personal experiences with various texts and suggest books that provide clear explanations, sufficient examples, and exercises.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • Shafia seeks books that clearly explain the rules and methods of calculus, particularly for differentiation and integration, and emphasizes the need for examples.
  • Some participants suggest a variety of calculus texts, including Serge Lang's texts and "Calculus and Analytical Geometry" by Thomas/Finney.
  • One participant recommends several specific books, including works by Moishe, Simmons, Thompson, Kline, Lee, Spivak, and Apostol, noting that Kelley and Schaum's outlines may be particularly helpful for Shafia's needs.
  • Another participant mentions their experience with Thomas-Finney and Stewart's Calculus, suggesting these as foundational texts before moving to more advanced materials.
  • A participant highlights the 3rd edition of Thomas: Calculus with Analytical Geometry and notes that the 9th edition is preferable for multivariable calculus, citing its effective use of physics motivation.

Areas of Agreement / Disagreement

Participants generally agree on the importance of having a solid calculus textbook but present multiple competing views on which specific texts are most effective. There is no consensus on a single recommended book.

Contextual Notes

Some recommendations depend on personal preferences and experiences, and the discussion does not resolve which book is definitively the best for all learners.

Who May Find This Useful

Individuals looking to strengthen their understanding of calculus concepts, particularly those who are beginners or seeking supplementary resources for differentiation and integration.

Shafia Zahin
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Hi,
I want to know about some books that can help me to clear my concepts of calculus.I know the basics of differentiation and integration,but don't have clear idea about it.Well,I would like to buy such a book that has explained the rules and methods of calculus properly.Also,I want to know about any book that can help me to do any kinds of differentiation.So, it would be a great help if anyone can tell me about a book containing sufficient examples and help me to go ahead confidently to do any kinds of differentiation or integration.
Thank you,
Shafia.
 
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There are too many calculus texts to list. Your best bet would be to sift through the library and find one that suits you. My personal picks were a combination of Serge Lang's texts and Calculus and Analytical Geometry by Thomas/Finney.
 
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Thank you very much for your help.I believe that these books will help me a lot to improve my ability in calculus as I've seen the preview.I'll look up for these books in my nearest book shop soon.
With regards,
Shafia.:smile:
 
Shafia Zahin said:
Hi,
I want to know about some books that can help me to clear my concepts of calculus.I know the basics of differentiation and integration,but don't have clear idea about it.Well,I would like to buy such a book that has explained the rules and methods of calculus properly.Also,I want to know about any book that can help me to do any kinds of differentiation.So, it would be a great help if anyone can tell me about a book containing sufficient examples and help me to go ahead confidently to do any kinds of differentiation or integration.
Thank you,
Shafia.

In the past I've been taught calculus from the two volumes of Thomas - Finney "Calculus" but I also recommend Stewart's Calculus https://www.amazon.com/dp/0538497815/?tag=pfamazon01-20 and Schaum's Outlines of Calculus https://www.amazon.com/dp/0071795537/?tag=pfamazon01-20 for exercises and problems. After these you can go to advanced texts.
 
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I prefer the 3rd edition of Thomas: Calculus with Analytical Geometry 3rd ed. For the multivariable calculus (often called Cal 3),the 9th edition is better than the 3rd. Great use of physics motivation to explain Stokes Theorem.
 
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