Calculus book recommendation (CompSci)

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Discussion Overview

The discussion revolves around recommendations for calculus textbooks suitable for someone with a background in computer science looking to advance their knowledge from basic differentiation and integration to multivariable and vector calculus. The focus is on finding resources that provide a good balance of depth and accessibility without being overly rigorous.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant suggests James Stewart's "Early Transcendentals" as a solid, easy-to-understand option that is not too rigorous, mentioning its later chapters cover multivariable calculus.
  • This participant also recommends supplementing learning with MIT OpenCourseWare videos for Calculus 2.
  • Another participant agrees with the recommendation of Edwards and Penney's "Multivariable Calculus," noting its good balance of concepts without excessive rigor.
  • A suggestion is made to consider Schaum's outlines on calculus for additional problems and solutions.
  • A different perspective is presented, criticizing Stewart's text as obtuse and dense, with a preference for Larson's calculus book, which the participant believes explains concepts better and is better organized.

Areas of Agreement / Disagreement

Participants express differing opinions on the effectiveness of Stewart's textbook, with some recommending it while others criticize it in favor of alternative texts. There is no consensus on a single preferred textbook.

Contextual Notes

Participants have varying preferences based on their experiences with different textbooks, and the discussion reflects subjective opinions rather than objective evaluations of the texts.

nwb
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Hi there,

I was looking for something to level-up my knowledge from basic differentiation/integration (I'm a Computer Scientist by degree) to things like multivariable, vector calc and other more advanced concepts.

The problem is that working through definition-theorem-proof i.e. rigorous texts is rather time consuming for me, so I'm looking for something that will give me a working knowledge with a good level of depth discussing the concepts.

Many thanks,

nick
 
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The later chapters of James Stewart's Early Transcendentals (I'm going through 6th ed) is a solid book. Easy to understand and not too rigorous.
http://www.stewartcalculus.com/media/8_home.php

take a look at the drop down in the web links section as it outlines what chapters are in the book. The first 7-8 chapters are single variable, but it may be good to have to refresh your memory.
You can supplement your learning with the MIT open course ware videos for calculus 2:
http://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/video-lectures/

Although I have not used this book, the MIT calc 2 course uses:

Edwards, Henry C., and David E. Penney. Multivariable Calculus. 6th ed. Lebanon, IN: Prentice Hall, 2002. ISBN: 9780130339676.

Ivan
 
Edward and Penney 6th edition is a very good textbook. It has got quite a good balance of concept without being too rigorous.

You can get one of
the Schaum's outlines on calculus too. It has many problems with solutions.

Good luck.
 
I have to disagree about Stewart. I find the prose obtuse and rambling, and the design/layout rather dense. I'm amazed that so many colleges use it. This is coming from a teacher who's tutored in Calculus, not from a student. My preference is Larson -- I think he explains things better, and the text is well-organized and presented. Just MHO.


69
 

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