Math textbook question,after pre algebra

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    Algebra Textbook
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Discussion Overview

The discussion revolves around recommendations for math textbooks suitable for someone transitioning from pre-algebra, with a focus on resources that utilize metric units like meters and kilometers. Participants share various suggestions and considerations for selecting appropriate materials for self-study in mathematics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant suggests looking for an Algebra I text as the next logical step after pre-algebra, noting the typical high school sequence of Algebra I, geometry, and pre-calculus leading to calculus.
  • Another participant recommends Khan Academy for its exercises and videos covering a range of mathematical topics, from basic to advanced concepts.
  • A different suggestion includes utilizing free online resources and textbooks, emphasizing that many older texts are still relevant and available for download.
  • Some participants caution that the term "algebra" may refer to different levels of complexity in various contexts, advising the original poster to ensure the texts are appropriate for high school-level study.
  • One participant mentions John Bird books as a potential resource.
  • Another participant highlights the importance of being aware of the audience for algebra texts, noting that many recommendations may be for advanced students who have already mastered calculus.
  • A participant points out that modern textbooks often contain more problems than typically assigned in classes, suggesting a selective approach to problem-solving.
  • There is a mention of Purplemath as a simple site that could help fill in gaps before tackling more advanced materials.

Areas of Agreement / Disagreement

Participants generally agree on the need for caution when selecting algebra texts and the importance of ensuring they are suitable for the intended level of study. However, there are multiple competing views on specific resources and approaches, and the discussion remains unresolved regarding the best next steps for the original poster.

Contextual Notes

Some participants express concerns about the varying definitions of algebra and the appropriateness of certain texts for different learning stages. There is also a recognition that the abundance of available resources can lead to confusion in selecting the right materials.

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I had to drop out of school for personal reasons,I am only trying to remember math,for fun.
So I have this pre algebra book(actually there is an intoduction to algebra at the end):
http://www.amazon.co.jp/dp/0131490575/
What book should I buy next?
also one that uses meters,kms and etc if possible.
 
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This might be a good next step:

31kkB4DAUHL._BO2,204,203,200_PIsitb-sticker-arrow-click,TopRight,35,-76_AA300_SH20_OU01_.jpg
 
I have a different suggestion. Perhaps you would like to try http://www.khanacademy.org/

You can do exercises and watch videos on many subjects within basic mathematics to even more advanced concepts.

Sign up and you are provided with statistics as you progress
 
If you just finished a pre-algebra text, the obvious next step is an Algebra I text. The usual sequence in high school is Algebra I, then geometry, and then pre-calculus, which is a combination of Algebra II, trigonometry, and analytic geometry. Once you're through all that, you're ready for calculus, which is necessary to truly understand most serious scientific subjects.

Note that this sequence takes three years for most students, and if you can only study part time, it may take longer, so don't be discouraged. Keep plugging away, because there are no short cuts. You MUST be competent in algebra and trig before you take calculus. And geometry teaches you not just facts about triangles and circles, but how to think and reason mathematically.

As for books, I suggest you save your money and get them from the internet. These subjects have been around for so long that the differences between texts is more style than substance, so just try to find one that seems to be at the right level and pace for YOU. Many very generous professors have written texts that you can download from their websites - just google for them. Here's a decent algebra text:

http://tutorial.math.lamar.edu/Classes/Alg/Alg.aspx

You can look at each section online, or download a complete PDF from the "downloads" section.

Also, there are thousands of old texts that are out of copyright, and available for download from Google. Go here:

http://books.google.com/advanced_book_search

and check the button that says "full view only," and then search on algebra or geometry or whatever. You will find many textbooks that were written 100 or more years ago, but are still perfectly usable. In fact, some of the modern texts are so full of fluff trying to "make math fun" that they are hard for me to read.

Download a few and try to find one with an agreeable writing style for you. Don't make the mistake I often do and waste days or weeks searching for the "perfect" text. Good enough is good enough.

Also, whatever text you use, be aware that in every math class I've ever taken, we never read every chapter and section, and we never do all the problems in a given section. Especially with modern books, there are many more problems in the book than any teacher would assign. It's important to do *some* problems, but if you did every problem, it would take a week for each section. If you do end up with a modern textbook, you may want to google on its title and "site:.edu" to find colleges that use it, and look for a course syllabus that tells what problems are assigned by that teacher.

Good luck to you.
 
One more thing --- on forums like this, where many of the participants are very advanced in math, "algebra" means something different to them than it does to you, so be careful when you read recommendations on algebra texts in other threads. Most of the algebra texts you will find recommended in this forum are intended for advanced students who have already mastered calculus. Be sure that the algebra texts you read are intended for high school, or you will be completely lost.
 
Try John Bird books
 
I second the recommendation of the Math courses from Lamar mentioned above. They are very solid. The Khan academy is a good supplement, too.

brocks said:
One more thing --- on forums like this, where many of the participants are very advanced in math, "algebra" means something different to them than it does to you, so be careful when you read recommendations on algebra texts in other threads.

This would usually be called "Abstract Algebra" or "Modern Algebra" but, yes, we get sloppy and just call it Algebra - you don't want any of those books at this stage in your learning.

There is a very simple site that can help if you need to fill in some gaps before tackling the Lamar link:

Purplemath:
http://www.purplemath.com/modules/index.htm
 
Sankaku said:
This would usually be called "Abstract Algebra" or "Modern Algebra" but, yes, we get sloppy and just call it Algebra -

It's not just people here, it's the books themselves. For example, there is a popular book by Serge Lang that is simply titled "Algebra," but is written for graduate students.
 

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