Preparing for Real Analysis & Modern Algebra: Best (Cheap) Texts

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SUMMARY

The discussion centers on preparing for Real Analysis I and Modern Algebra I, specifically targeting resources suitable for a junior undergraduate with a strong Calculus background but limited experience in Statistics and Geometry. Participants recommend exploring free textbooks from OpenStax and the University of Minnesota's Open Textbook Library, which provide foundational knowledge and orientation. Additionally, the suggestion to study Discrete Mathematics is made to strengthen proof skills, which are essential for success in these advanced courses.

PREREQUISITES
  • Understanding of Calculus concepts
  • Basic knowledge of proof techniques
  • Familiarity with Discrete Mathematics
  • Awareness of free educational resources like OpenStax
NEXT STEPS
  • Explore OpenStax resources for introductory texts in Real Analysis and Modern Algebra
  • Study Discrete Mathematics to enhance proof-writing skills
  • Review basic concepts in Statistics and Geometry to fill knowledge gaps
  • Investigate additional free textbooks available at the University of Minnesota's Open Textbook Library
USEFUL FOR

Undergraduate students in mathematics or computer science, particularly those preparing for Real Analysis and Modern Algebra courses, will benefit from this discussion.

daveyp225
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Okay, I am a junior undergraduate in CS & Mathematics and I want to be prepared for these two classes when I take them.

I am currently signed up in the fall for Real Analysis I and Modern Algebra I (among other classes). I have a strong background in Calculus, but don't have much of a background in Statistics or Geometry. I am looking for some easy-to-read material that I can study over the summer that will make these two classes easier for me (I have heard they were very difficult). I have only taken one proofs class so far, and I feel weak in this area although I do understnad the basic proof methods.

Which textbooks, guides, websites might I find beneficial? I'm asking here instead of browsing Amazon.com for reviews because the reviews are usually made by professors or graduate students who obviously have more understanding of the subject than I do. I would also appreciate any suggestions you have for me.

Thanks!
 
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