Help me to chose the right calculus textbooks.

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    Calculus Textbooks
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Discussion Overview

The discussion revolves around selecting appropriate calculus textbooks for self-study, particularly for someone starting from a basic level. Participants share their experiences and recommendations, considering various approaches to learning calculus, including theoretical understanding and practical applications.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant suggests Stewart's calculus textbook and Schaum's 3000 solved problems for practice, seeking feedback on their suitability.
  • Another participant endorses Stewart's text and recommends MIT video lectures and Khan Academy for additional support.
  • Tom Apostol's "Calculus" is highlighted by one participant as the best textbook they have used.
  • A participant mentions the University of Houston's calculus video resources as excellent for learning.
  • Michael Spivak's "Calculus" is recommended by a participant, noting its depth and the time it requires to work through the material.
  • One participant emphasizes the importance of understanding the learner's starting point and motivation for studying calculus, suggesting that this influences the choice of textbooks.
  • A participant expresses a desire to learn calculus from a foundational level to support their understanding of quantum physics, indicating a preference for books that focus on theory and real-world applications.
  • Based on the expressed needs, another participant recommends "The Chemistry Maths Book" by Erich Steiner as a suitable bridge between high school and university-level mathematics.

Areas of Agreement / Disagreement

Participants present a variety of textbook recommendations and approaches, with no consensus on a single best choice. Different preferences and motivations for studying calculus are acknowledged, indicating a range of competing views.

Contextual Notes

Participants have varying backgrounds and levels of familiarity with calculus, which may affect their recommendations. The discussion reflects differing priorities, such as theoretical understanding versus practical application, and the importance of starting points in learning calculus.

Who May Find This Useful

Individuals interested in self-studying calculus, particularly those seeking recommendations for textbooks that cater to different levels of understanding and learning goals.

Vyenn
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I'm planning to learn calculus all by myself(from basic level).I selected some books,they are stewart's and for a bit more practice schaum's 3000 solved problems,so just tell me whether they are good if not advice me, Thanks.
 
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When I taught myself Calculus, I used MIT video lectures. However Stewart is a great text to start Calculus along with Shaum's Outline is great! Also, you if you need videos explaining a certain topic in Calculus, you should go to khanacademy.org.

Good luck.
 
Tom Apostol - Calculus.

the best textbook I have ever used.
 
Thanks
 
Google for University Houston Calculus
They have some 50 videos which are excellent
I use them in my classes

I personally think Stewart's 6th Ed is the best text out there.
 
Personally I like Michael Spivak's Calculus. I don't know if you would consider it basic but I have a lot of fun with it even though it takes me hours upon hours just to complete a chapter.
 
I'm planning to learn calculus all by myself(from basic level).

Instead of jumping in with advice it would be useful to know where you are starting from and what you motivation or aim for the calculus is?

The starting point is important because to be able to use any of the existing suggestions effectively you have to know quite a bit already.

For motivation are you interested in the pure maths behind it (in which case there are some excellent suggestions here eg Spivak) or are you interested in using the results?

Finally how far do you wish to take the subject, Apostol for instance goes further than most.

go well
 
Yeah, honestly all the calclulus i know till now is pretty much based on physics,and upto some level i can do the simple tricks and methods.But when i try to learn some deeper stuff like quantum physics all the theories there are mostly based on mathematics.So in order for a good and deeper understanding,i would like to start it fresh from 13th class level and take it higher.
Would like a book mostly based on theory with real world applications and various methods.
THanks
 
From what you have said I would recommend

The Chemistry Maths Book

By Erich Steiner

Oxford University Press

This is pitched at the level you require and also contains much useful maths that the likes of Apostol assumes you know. It is an excellent bridge between high school and university levels for physical science purposes.
 
  • #10
Thanks a lot!
 

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