Math book with problems (to use with Lang-Basic Mathematics)

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SUMMARY

The discussion centers on finding supplemental math workbooks to accompany Serge Lang's "Basic Mathematics." Participants recommend several resources, including the Schaum's Outline series, specifically "Schaum's Outline of Precalculus" and "Schaum's Outline of Trigonometry." Additionally, W. Michael Kelley's "The Humongous Book of Algebra Problems" and other titles in the series are highlighted for their comprehensive problem sets and solutions. The consensus is that these resources will effectively support self-study and preparation for advanced topics, including Calculus.

PREREQUISITES
  • Familiarity with Serge Lang's "Basic Mathematics"
  • Understanding of Precalculus concepts
  • Basic knowledge of Algebra and Trigonometry
  • Ability to navigate online book retailers like Amazon
NEXT STEPS
  • Research "Schaum's Outline of Precalculus" for additional practice problems
  • Explore W. Michael Kelley's "The Humongous Book of Algebra Problems" for comprehensive exercises
  • Investigate David Cohen's "Pre-Calculus: A Problem Solving Approach" for end-of-chapter questions
  • Look into "The Humongous Book of Calculus Problems" to prepare for upcoming Calculus studies
USEFUL FOR

Self-studying students, educators seeking supplemental materials, and anyone looking to strengthen their understanding of Precalculus, Algebra, and Trigonometry in preparation for Calculus.

vantroff
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Hi,
I need book with examples(and the solutions) that will help me to practice the things I learn from Serge Lang-Basic Mathematics. I don't know how exactly these are called in English. Workbooks?

It's not necessary to be book only with problems, it can be something like this one but with more examples.
Solutions are very important for me because I am self studying. Here is the book index:
https://www.amazon.com/dp/0387967877/?tag=pfamazon01-20
 
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For worked out examples and exercises with answers, I have always been a big fan of the Schaum's Outline series. Unfortunately, it may take a lot of those to cover all the topics in the Serge Lang book. You can go to Amazon and see many applicable Schaum's Outline books. I don't know which would fit your needs best. Maybe Schaum's Outline Precalculus would be good.
 
These look really good, considering the amount of positive reviews in Amazon, the topics it covers and that you are recommending it.
I will probably buy the one about precalculus and something about trigonometry, and something about geometry... The prices are very reasonable, I was expecting something expensive... The shipping will cost me more than the actual books. LOL.

FactChecker, thank you!
 
vantroff said:
These look really good, considering the amount of positive reviews in Amazon, the topics it covers and that you are recommending it.
I will probably buy the one about precalculus and something about trigonometry, and something about geometry... The prices are very reasonable, I was expecting something expensive... The shipping will cost me more than the actual books. LOL.

FactChecker, thank you!

If you want a workbook of problems, maybe buy a typical Pre-Calculus textbook? I found David Cohen: Pre-Calculus: A Problem Solving Approach, has very interesting end of chapter questions. Read Basic Mathematics, and work extra problems from Cohen?
 
vantroff said:
Hi,
I need book with examples(and the solutions) that will help me to practice the things I learn from Serge Lang-Basic Mathematics. I don't know how exactly these are called in English. Workbooks?

It's not necessary to be book only with problems, it can be something like this one but with more examples.
Solutions are very important for me because I am self studying.Here is the book index:
https://www.amazon.com/dp/0387967877/?tag=pfamazon01-20

That book has everything from "Addition of integers" to "Addition of complex numbers". It would be good idea to tell what exactly you are studying ?
 
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Sorry that I didn't made it clear.
I want something that will give me enough problems to solve so I will be ready to move from Lang's "Basic mathematics" and I.M. Gelfand - "Trigonometry" to something more advanced because I am getting closer to the part of my Physics book where I will need Calculus.

I have Schaum's Outline of Precalculus by Fred Safier (the one suggested above) and it seem to cover the topics in which I'm interested. So, Precalculus books should be what I ask for.

I already have book only with problems but it will be good to have something like the one @MidgetDwarf suggested, I mean book with more explanation. I will appreciate more suggestions like that, because I wouldn't be able to buy anything this month(Short story: Friend from EU buys me the books).

Thanks for the replies.
 
vantroff said:
Hi,
I need book with examples(and the solutions) that will help me to practice the things I learn from Serge Lang-Basic Mathematics. I don't know how exactly these are called in English. Workbooks?

It's not necessary to be book only with problems, it can be something like this one but with more examples.
Solutions are very important for me because I am self studying.Here is the book index:
https://www.amazon.com/dp/0387967877/?tag=pfamazon01-20
W. Michael Kelley books are perfect for this purpose. They are really good.

The Humongous Book of Algebra Problems - https://www.amazon.com/dp/1592577229/?tag=pfamazon01-20
The Humongous Book of Trigonometry Problems - https://www.amazon.com/dp/1592577229/?tag=pfamazon01-20
The Humongous Book of Geometry Problems - https://www.amazon.com/dp/1592578640/?tag=pfamazon01-20
The Humongous Book of Basic Math and Pre-Algebra Problems - https://www.amazon.com/dp/1615640835/?tag=pfamazon01-20
The Humongous Book of Calculus Problems - https://www.amazon.com/dp/1592575129/?tag=pfamazon01-20
 
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You have a very solid Trig book with Gelfand. I would definitely look into David Cohen. Buy an older edition. I have seen the 4th,5th,and 6th edition of the book.

I can upload pictures of some problems, to see if the book interest you.
 
smodak said:
W. Michael Kelley books are perfect for this purpose. They are really good.

The Humongous Book of Algebra Problems - https://www.amazon.com/dp/1592577229/?tag=pfamazon01-20
The Humongous Book of Trigonometry Problems - https://www.amazon.com/dp/1592577229/?tag=pfamazon01-20
The Humongous Book of Geometry Problems - https://www.amazon.com/dp/1592578640/?tag=pfamazon01-20
The Humongous Book of Basic Math and Pre-Algebra Problems - https://www.amazon.com/dp/1615640835/?tag=pfamazon01-20
The Humongous Book of Calculus Problems - https://www.amazon.com/dp/1592575129/?tag=pfamazon01-20
Second link is broken.
 
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MidgetDwarf said:
You have a very solid Trig book with Gelfand. I would definitely look into David Cohen. Buy an older edition. I have seen the 4th,5th,and 6th edition of the book.

I can upload pictures of some problems, to see if the book interest you.

I'll definitely look for older edition...
I've seen the "Contents" of the book, a picture from Chapter 5 and 7 would be good.
Thanks in advance!
 
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