Math book suggestions? Mainly calculus.

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Discussion Overview

The discussion revolves around recommendations for math books, particularly focused on calculus, as well as study tips for improving understanding and retention of mathematical concepts. Participants share their experiences with learning math and seek advice on resources that could aid their studies.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses difficulty with multivariable calculus and plans to withdraw from the class to focus on foundational math skills, seeking book recommendations for calculus and calculus-based physics.
  • Another participant suggests Russian math books, specifically "Lectures on Higher Mathematics" by Pismenny and "A Course of Higher Mathematics" by Smirnov, noting their usefulness and popularity.
  • A different participant acknowledges that forgetting material is common among students and provides a link to a post with a potential solution, along with recommending Stewart's "Calculus" and Khan Academy for video instruction.
  • Two additional books are recommended: "Calculus" by Smith and Minton, praised for its problem-solving approach and challenging examples, and "Advanced Engineering Mathematics" by Kreyzig, noted for its physics orientation.
  • One participant inquires about the educational level of the original poster, asking if they are an undergraduate or graduate student.

Areas of Agreement / Disagreement

Participants present various book recommendations and study strategies, but there is no consensus on a single best resource or approach. Multiple competing views on effective study methods and materials remain.

Contextual Notes

Some participants reference specific books and resources without providing detailed evaluations of their content or effectiveness. The discussion reflects a range of personal experiences and preferences regarding learning mathematics.

Who May Find This Useful

Students struggling with calculus or seeking to strengthen their foundational math skills, as well as those looking for diverse resources and study strategies in mathematics.

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Currently, I have failed multivariable calculus and will probably fail it again. Math is normally not a problem for me. One of my faults is that I always studied for the semester doing only the necessary things, then forget about them, causing me to forget basics for my current class. Studying last minute and getting C's. I'm going to try and turn that around. I'm going to withdraw from this class and spend the next few months studying all my math, including algebra and trig. Hopefully, I'll understand math better by next semester. So... Does anyone have any suggestions on calculus and other math books I should read? The math books my teacher have been telling us to get aren't really good. Also, any books on calculus based physics I should read? Any study tips? I don't know why I have such a hard to concentrating. Even in quiet areas with no electronics. What works for you?
 
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There are some great books, but in russian)
This is one, that very useful in russian non-mathematics universities: http://log-in.ru/books/16711 - "Lectures on Higher Mathematics" by Pismenny tells about main topics of math briefly but irrefragable.
If you want to read more sophisticated book and not very complete - no problem - http://www.booksgid.com/humanities/1895-v.i.smirnov-kurs-vysshejj-matematiki.-v.html
- " A Course of Higher Mathematics" by Smirnov is popular and refferable in all the world and I guess it's the best book at least because only in Russia it has kept 24 reprints... And there is english translation, input "Smirnov course higher mathematics download" in Google and get result!) I'm really suggest this book for you!
Some info about who was mr. Smirnov http://en.wikipedia.org/wiki/Vladimir_Smirnov_(mathematician))
 
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Two books come to mind:

1. Smith and Minton's Calculus- written by my undergraduate Math Dept. Chair, it is still the best problem-solving oriented book on Calculus (from derivatives of one variable through The Divergence Theorem) I have seen. It is probably not well-kown but it is a great book. And the examples solved are very challenging with beautiful graphics that really aid the material especially in Multivariate Calculus.

2. Kreyzsig's Advanced Engineering Mathematics— a classic book that is very physics-oriented. I was a math major and am a pure math graduate student, but despite the title, it is still appealing to me. Buy one of the previous editions for self-study for very cheap.
 
Are you undergrad. or graduate student?
 

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