Choosing to self study higher maths

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Discussion Overview

The discussion revolves around the selection of textbooks for self-studying higher mathematics, specifically Linear Algebra and Multivariable Calculus. Participants share their experiences with previous studies and seek recommendations for suitable resources.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses dissatisfaction with their previous self-study experience in calculus due to inadequate textbooks and seeks advice on Linear Algebra and Multivariable Calculus books.
  • The same participant has chosen "Introduction to Linear Algebra" by Gilbert Strang but is uncertain about "Multivariable Calculus" by Larson and Edwards, questioning their value.
  • Another participant suggests considering the textbook used in class tests and recommends the Schaum's Outline series for self-study due to its affordability and abundance of worked examples.
  • A different participant points to a free online resource that offers downloadable materials covering various math topics, including practice problems and answers.
  • A later reply critiques the "Multivariable Calculus" book, stating it has dull exercises and expressing personal dissatisfaction, while acknowledging its popularity and potential suitability for others.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best textbooks for self-study, with differing opinions on the recommended books and resources. Some express positive views on certain materials while others critique them.

Contextual Notes

Participants' recommendations are influenced by their personal experiences and preferences, which may not align with others' learning styles or needs. There is also mention of specific content coverage in textbooks, which may vary by course or curriculum.

Ethan Singer
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I've recently completed Calc 1 and 2 on my own, with little guidance outside (which I feel hurt my final exam scores), but I attribute this primarily to the lack of a good textbook. I decided to hold off on Linear Algebra and Multivariable until I've graduated, and now that I have I'm looking to advice on which book I should get for each.

For Linear Algebra, I've decided to purchase, "Introduction to Linear Algebra, Fifth Edition by Gilbert Strang", which seems like a fantastic guide to the subject.

https://www.amazon.com/dp/0980232775/?tag=pfamazon01-20

But I'm uncertain about which one I should get for multivariable... I'm considering purchasing "Multivariable Calculus, Tenth Edition by Ron Larson and Bruce H. Edwards"

https://www.amazon.com/dp/1285060296/?tag=pfamazon01-20

Are these wise choices? I want to ensure that I get my money's worth when purchasing these textbooks. When I self studied calculus, the sources I used had many issues... while they explained certain topics very well, they didn't use the metric system, which made conversions very difficult. Compounding this, they didn't teach everything that was on the finals. For instance it taught Taylor and Maclauren series, but never mentioned finding the area between two polar curves.

So I'm hoping that these books will be far more meticulous, and if not what do you recommend?
 
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What textbook are the class tests based on and what parts will the class cover? That should be your first consideration. Beyond that, I have always liked the Schaum's Outline series for self study. They are relatively cheap and have a great number of worked examples and exercises with answers.
 
thnxx for tht suggestion...!
 
A commonly recommended and free online source is here: http://tutorial.math.lamar.edu

It looks at first like purely just (an excellent) website about math but if you go to the downloads section, you can download several large books that contain all the material on the site along with practice problems and answers.
 
Ethan Singer said:
I've recently completed Calc 1 and 2 on my own, with little guidance outside (which I feel hurt my final exam scores), but I attribute this primarily to the lack of a good textbook. I decided to hold off on Linear Algebra and Multivariable until I've graduated, and now that I have I'm looking to advice on which book I should get for each.

For Linear Algebra, I've decided to purchase, "Introduction to Linear Algebra, Fifth Edition by Gilbert Strang", which seems like a fantastic guide to the subject.

https://www.amazon.com/dp/0980232775/?tag=pfamazon01-20

But I'm uncertain about which one I should get for multivariable... I'm considering purchasing "Multivariable Calculus, Tenth Edition by Ron Larson and Bruce H. Edwards"

https://www.amazon.com/dp/1285060296/?tag=pfamazon01-20

Are these wise choices? I want to ensure that I get my money's worth when purchasing these textbooks. When I self studied calculus, the sources I used had many issues... while they explained certain topics very well, they didn't use the metric system, which made conversions very difficult. Compounding this, they didn't teach everything that was on the finals. For instance it taught Taylor and Maclauren series, but never mentioned finding the area between two polar curves.

So I'm hoping that these books will be far more meticulous, and if not what do you recommend?

It is not a good book in opinion. The exercises are as dull as it can be and there are lots of it. I got very bored in the second chapter itself.

These were my personal opinion, the book might suit you as it is a very popular book.
 

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